Chuck received a credit of $369.15 for his partial payment.
What is simple interest?
The interest on a loan or principal sum can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.
The total cost of the baking potatoes is calculated by multiplying the weight of potatoes by the cost per pound:
800 pounds x $0.85/pound = $680
Since the terms are n/30, Chuck has 30 days to pay the invoice in full to receive the discount. He made a partial payment of $425 within the discount period, which means he has a remaining balance of:
$680 - $425 = $255
To determine how much credit Chuck received for his partial payment, we need to calculate the discount he would have received if he had paid the full amount within the discount period. The discount is calculated by multiplying the total cost by the discount rate, which is calculated by dividing the discount period by the number of days in the year:
Discount rate = discount period / number of days in the year
Discount rate = 30 / 365
Discount rate = 0.0822
Discount = total cost x discount rate
Discount = $680 x 0.0822
Discount = $55.85
Since Chuck only paid $425 within the discount period, he is entitled to a credit for the remaining discount amount:
Credit = Discount - Partial payment
Credit = $55.85 - $425
Credit = -$369.15
Therefore, Chuck received a credit of $369.15 for his partial payment.
Learn more about simple interest on:
https://brainly.com/question/1173061
#SPJ1
you can make one of the following investments:
Option 1: $50 initial investment with an average annual growth rate of 9% starting at age 30
Option 2: $50 initial investment with an average annual growth rate of 8% starting at age 20
Option 3: $100 initial investment with an average annual growth rate of 7% starting at age 25
Based on these calculations, Option 3 yields the highest future value at age 35.
How to solveTo compare the investment options at different ages, we can use the future value formula:
FV = PV * (1 + r)^t
where:
FV = future value of the investment
PV = present value or initial investment
r = annual growth rate (as a decimal)
t = number of years the investment grows
Here are the general equations for each option:
Option 1: FV1 = 50 * (1 + 0.09)^(t - 10)Option 2: FV2 = 50 * (1 + 0.08)^tOption 3: FV3 = 100 * (1 + 0.07)^(t - 5)To compare the options at ages 20, 25, 30, and 35, calculate the future value for each option at those ages by plugging in the corresponding value of t.
Age 20:
FV1 = N/A (Option 1 hasn't started yet)
FV2 = 50 * (1 + 0.08)^0 = $50
FV3 = N/A (Option 3 hasn't started yet)
Age 25:
FV1 = N/A (Option 1 hasn't started yet)
FV2 = 50 * (1 + 0.08)^5 ≈ $73.86
FV3 = 100 * (1 + 0.07)^0 = $100
Age 30:
FV1 = 50 * (1 + 0.09)^0 = $50
FV2 = 50 * (1 + 0.08)^10 ≈ $107.95
FV3 = 100 * (1 + 0.07)^5 ≈ $140.26
Age 35:
FV1 = 50 * (1 + 0.09)^5 ≈ $77.16
FV2 = 50 * (1 + 0.08)^15 ≈ $157.46
FV3 = 100 * (1 + 0.07)^10 ≈ $196.72
Based on these calculations, Option 3 yields the highest future value at age 35.
Read more about investment here:
https://brainly.com/question/27717275
#SPJ1
BRAINEST IF CORRECT look at the picture
Step-by-step explanation:
Vertical angles of two crossing lines are equal so y = 163 degrees
... and z = x
Given the polynomial 3x3 − 4x2 + 9x − 12, rewrite the polynomial as a product of binomials.
(x2 + 3)(3x + 4)
(x2 + 3)(3x − 4)
(x2 − 3)(3x + 4)
(x2 − 3)(3x − 4)
Answer:
(x^2+3)(3x-4)
Step-by-step explanation:
To answer this question we can employ a technique called factor by grouping. This strategy has us factor out values from the first two numbers and last two numbers to simplify the expression.
3x^3-4x^2+9x-12
x^2(3x-4)+3(3x-4)
(x^2+3)(3x-4)
Therefore, the answer is the second option.
Altenative method -2x² + × +3
Answer:
Step-by-step explanation:
-(2x^2-x-3)
-(2x^2-3x+2x-3)
-[2x(x+1)-3(x+1)]
(x+1)(3-2x)
Write as a product. 1 -25x^2 +10xy-y^2
The expression 1 -25x² +10xy-y² in product form is (1-5x-y)(1+5x-y).
What is expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation. Expressions can be simple, such as a single number or variable, or complex, involving multiple operations and variables. Expressions are used in a variety of mathematical contexts, including algebra, calculus, and geometry. They can be evaluated to obtain a numerical value, simplified by combining like terms or using algebraic identities, or used to represent mathematical relationships and patterns.
Here,
The given expression can be written as a product of two binomials as follows:
(1-5x-y)(1+5x-y)
Expanding this product gives:
1(1) + 5x(1) - y(1) - 5x(1) - 25x² + 5xy + y(1) - y(5x) - y²
Simplifying this expression gives:
1 - 25x² + 10xy - y²
To know more about expression,
https://brainly.com/question/1859113
#SPJ1
If ALMN - ALOP by the SAS similarity theorem, what is LM? Show your work.
Answer:
LM = 40
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{LM}{LO}[/tex] = [tex]\frac{LN}{LP}[/tex] ( substitute values )
[tex]\frac{LM}{5}[/tex] = [tex]\frac{14+2}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8 ( multiply both sides by 5 )
LM = 5 × 8 = 40
Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary. G a = (46) K (3a +19) b H 56°
The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°
What do you mean by Parallelogram ?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles
We know that sides of a parallelogram are parallel and congruent, as opposite angle
According to question that GA equals HK, as:
46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:
27 x 3a is the result of dividing both sides by 3:
we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:
HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:
After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).
HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2 732.4 By taking the square root of both sides, we obtain the following results:
∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK 27.0
Then, we can use the Law of Cosines to determine the angle G's measurement:
cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,
cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G) 0.465 Using the inverse cosine, we get the following:
G ≈ 63.5°
Hence, the worth of every variable in the parallelogram is:
a = 9 HK = 27.0 GK = 46 G = 63.5°
Learn more about Quadrilateral here
https://brainly.com/question/29934440
SPJ1
8x÷4=100 What is the value of x in the equation?
Answer:
Solving 8x ÷ 4 = 100, we have:
2x = 100
x = 50
So the value of x is 50.
Answer:
x = 50
Step-by-step explanation:
To answer this question, we have to isolate the x. To do this, we have to get rid of any other numbers around it by doing the inverse of the operation.
1)
÷ 4 = ×4 to both sides8x ÷ 4 × 4 = 8x100 × 4 = 4008x = 4002)
8x = ÷ 8 to both sides8x ÷ 8 = x400 ÷ 8 = 50x = 50This means that x is 50!
To check our answer is correct we can substitute 50 to x in the question...
(8 × 50) ÷ 4 = 100It is correct!
Hope this helps, have a lovely day! :)
The period of the sinusoidal graph shown is:
3 п
2
A П
В
2п
C
-2п -п
-3
-3
-6
у
TT
2п х
The period of a sinusoidal graph is the distance between two consecutive peaks or troughs of the graph. From the given graph, we can see that the graph completes one full cycle from x = 0 to x = 2π. Therefore, the period of the graph is 2π.
How can we determine the period of a sinusoidal graph?The period of a sinusoidal graph is the distance between two consecutive peaks or troughs of the graph. It can be determined by calculating the length of one complete cycle of the graph.
What does the period of a sinusoidal graph tell us about the function?The period of a sinusoidal graph tells us how often the function repeats itself. It is an important characteristic of the function that can help us analyze its behavior and make predictions about its future values.
To know more about sinusoidal graph, Visit:
https://brainly.com/question/12803060
#SPJ1
- w/5 + 9 = 13 what w
Answer:
w = -20
"The beautiful thing about learning is that no one can take it away from you." :)
Convert 3
2
3
years to months.
1 year = 12 months
Answer:
3878.65
Step-by-step explanation:
Answer: 3876
Step-by-step explanation:
If you are asking how many months are in 323 years, then the answer is 3,876 months
323(12)
What is the image of (8, 7) after a reflection over the line y = -x?
Answer: The image of (8, 7) after a reflection over the line y = -x is (-7, -8).
Step-by-step explanation:
will give thanks and brainly
trig
Required length of HF, angle H, angle F are 12.05 unit, 44.2°, 80.5° respectively.
How to find the length of the third side of a triangle when length of two sides are already given?
To find the length of the third side, HF, we can use the Law of Cosines, which states that:
c² = a² + b² - 2ab cos(C)
where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
In this case, we have:
HF² = HG² + GF² - 2HG × GF × cos(HGF)
HF² = 7² + 13² - 2 × 7 × 13 × cos(136°)
HF² = 49 + 169 - 182cos(136°)
HF² ≈ 145.35
Taking the square root of both sides,
HF ≈ 12.05
So the length of the third side, HF, is approximately 12.05 units.
To find the angles, we can use the Law of Sines, which states that,
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides opposite angles A, B, and C, respectively.
In this case, we know the lengths of HG, GF, and HF, so we can find the angles H and F,
sin(H) / 7 = sin(136°) / 12.05
sin(H) ≈ 0.689
H ≈ 44.2°
sin(F) / 13 = sin(136°) / 12.05
sin(F) ≈ 0.992
F ≈ 80.5°
Therefore, the length of HF is approximately 12.05 units, the angle H is approximately 44.2°, and the angle F is approximately 80.5°.
Learn more about triangle here,
https://brainly.com/question/17335144
#SPJ1
Pls help with this problem in the attached photo
There is a 1.8% probability that a customer will buy clothes, shoes, AND jewelry.
This statement is false. The probability that a customer buys clothes, shoes, and jewelry is not given
How to solve the problem ?
Let's denote the event that a customer buys clothes by C, the event that a customer buys jewelry by J, and the event that a customer buys shoes by S. We are given that the probabilities of these events are independent. Therefore, the probability of a customer buying clothes and shoes, denoted by C and S, is simply the product of the probabilities of buying clothes and buying shoes, which is 0.6 × 0.3 = 0.18. Similarly, the probability of a customer not buying shoes and buying jewelry, denoted by S' and J, is simply the product of the probabilities of not buying shoes and buying jewelry, which is 0.7 × 0.1 = 0.07.
Using these probabilities, we can now check the statements:
There is a 15% probability that a customer buys NO clothes, NO shoes, and NO jewelry.
This statement is true. The probability that a customer buys none of these items is simply the complement of the probability that the customer buys at least one of them. Using the inclusion-exclusion principle, we have:
P(C ∪ J ∪ S) = P(C) + P(J) + P(S) - P(C ∩ J) - P(C ∩ S) - P(J ∩ S) + P(C ∩ J ∩ S)
P(C ∪ J ∪ S) = 0.6 + 0.1 + 0.3 - 0 - 0.18 - 0 + P(C ∩ J ∩ S)
P(C ∪ J ∪ S) = 0.52 + P(C ∩ J ∩ S)
Therefore, the probability that a customer buys none of these items is:
P((C ∪ J ∪ S)') = 1 - P(C ∪ J ∪ S) = 0.48 - P(C ∩ J ∩ S)
We are not given the value of P(C ∩ J ∩ S), but we know that it cannot be negative. Therefore, the maximum value of P((C ∪ J ∪ S)') is 0.48, which corresponds to the case where P(C ∩ J ∩ S) = 0. In this case, the probability that a customer buys none of these items is 0.48, which is 15% of 1.
There is a 70% probability that a customer does NOT buy shoes.
This statement is true. The probability that a customer does not buy shoes is simply the complement of the probability that the customer buys shoes, which is 0.3. Therefore, the probability that a customer does not buy shoes is 1 - 0.3 = 0.7, which is 70% of 1.
There is an 8.5% chance that a customer buys jewelry.
This statement is false. The probability that a customer buys jewelry is not given directly. However, we can use the information about the probability of not buying shoes and buying jewelry to find it. We have:
P(S' ∩ J) = P(S') × P(J) = 0.7 × 0.1 = 0.07
Therefore, the probability that a customer buys jewelry is:
P(J) = P(S' ∩ J) + P(S ∩ J) = 0.07 + 0 = 0.07
This is 7% of 1, not 8.5%.
There is a 1.8% probability that a customer will buy clothes, shoes, AND jewelry.
This statement is false. The probability that a customer buys clothes, shoes, and jewelry is not given
To know more about probability visit :-
https://brainly.com/question/13604758
#SPJ1
How do you solve this?
Below 10 in.*6 in.*14 in., the triangular prism's volume is 420 cubic inches.
The area of the base must be multiplied by the prism's height in order to determine the volume of a triangular prism.
The base of this triangular prism is a triangle with a base of 6 inches and a height of 10 inches, so its area is:
Area of base = (1/2) × base × height = (1/2) × 6 in × 10 in = 30 in²
The height of the triangular prism is given as 14 inches.
Hence, the triangular prism's volume is:
Volume = Area of base × height = 30 in² × 14 in = 420 cubic inches.
So, the volume of the triangular prism is 420 cubic inches.
To learn more about triangular prism, refer:-
https://brainly.com/question/22023329
#SPJ1
Explain how to simplify this expression: (7a + 9) + (4a - 7).
The simplified expression would be 11a + 2.
Simplifying an expressionIn order to simplify the given expression, we first need to combine like terms.
The terms can be combined by adding their coefficients:
(7a + 4a) = 11a(9 - 7) = 2Now we can substitute these combined terms back into the original expression:
(7a + 9) + (4a - 7) = 7a + 4a + 9 - 7
And then simplify further:
= 11a + 2
Therefore, the simplified form of the expression (7a + 9) + (4a - 7) is 11a + 2.
More on the simplification of expressions can be found here: https://brainly.com/question/11875858
#SPJ1
Consider the following system of two linear equations:
3y + 2x = 15
x – y = 0
Select the graph that correctly displays this system of equations and point of intersection.
The answer is x = 3 y=3. This can be solved by reorganising the equation 2x + 3y = 15, x-y=0.
What is Multiplication Zero Property?This property is true for all real numbers, including integers, fractions, decimals, and any other real number. The Multiplication Zero Property states that the product of any number and zero is equal to zero.
Reorganising the equation:
2x + 3y = 15
x-y=0
To find the solution, multiply both parts of the equation by a multiplier, as in 2x+3y=15.
2(x-y)=0 x 2
Utilize the multiplicative distributional rule.
2x+3y=15
2x-2y=0 x 2
Application of the Multiplication Zero Property
2x+3y=15
2x-2y=0
Separate the two formulas: 2x+3y-(2x-2y)=15-0
2x+3y-2x+2y=15
Take the parentheses off
3+2=15
Expressions combined: 5y=5
Multiply both sides of the equation by the value of the variable: y = 15/5
Take out the joining piece. y=3
Substitute 0 for 2x-2x-2x in one of the computations.
2x-6=0 is used to determine the product.
In the calculation, 6 should be shifted to the left: 2x=6
Add the variable's value to both ends of the equation, then subtract it:
x = 6/2
Take out the intermediary: 2 = 3
The answer is x = 3 y=3.
For more questions related to real numbers
https://brainly.com/question/17201233
#SPJ1
The diameter of a circle is 8 kilometers. What is the circle's area? Use 3.14 for . square kilometers
Answer:
The formula for area of a circle is A = π r²
Step-by-step explanation:
We have the diameter of the circle (8 kilometers) which gives us enough information to find the area of this cicle. We can find the radius from the dimeter (by using the simple formula r=d/2) the radius is always half of the diameter. So 8 km/2= 4 kilmeters so the radius is 4 kilometers.
now that we have the radius we can solve this problem
π×4²= 50.24
what I did was that I multiplied 3.14×4² than i got 50.24
since you want your answer in square km the answer would be 50.24²Kilometers
i hope this helps :)
happy studying!!!
Complete the square to solve the quadratic below. 1=2x^2+7x
the solutions to the quadratic equation 1 = 2x^2 + 7x are:
[tex]x= \frac{(-7+\sqrt{51} )}{4}[/tex] and [tex]x= \frac{(-7-\sqrt{51})}{4}[/tex]
ToToToToToToToToToToToToToToToToToToToToToToToToToToToToToToToTo solve this quadratic equation by completing the square, we need to rewrite the equation in the form of (x + p)^2 + q = 0, where p and q are constants. This will allow us to solve for x.
First, we can factor out the coefficient of the x^2 term, which is 2:
[tex]2x^2 + 7x - 1 = 0[/tex]
Next, we can isolate the x^2 and x terms on one side of the equation by subtracting 1 from both sides:
[tex]2x^2 + 7x = 1[/tex]
Now, we need to add and subtract a constant term inside the parentheses to create a perfect square trinomial. To determine this constant term, we take half of the coefficient of the x term (which is 7/2) and square it:
[tex](\frac{7}{2} )^{2} = \frac{49}{4}[/tex]
So we add and subtract 49/4 inside the parentheses:
[tex]2x^2 + 7x + \frac{49}{4} - \frac{49}{4} = 1[/tex]
We can simplify the left side by factoring the perfect square trinomial:
[tex]2(x + \frac{7}{4} )^2 - \frac{51}{8} = 0[/tex]
Now, we can solve for x by isolating the perfect square term and taking the square root of both sides:
[tex]2(x + \frac{7}{4} )^2 = \frac{51}{8}[/tex]
[tex](x + \frac{7}{4} )^2 = \frac{51}{16}[/tex]
[tex]x + \frac{7}{4}=±\sqrt{\frac{51}{16} }[/tex]
[tex]x = -\frac{7}{4} ± \sqrt{\frac{51}{16} } /2[/tex]
Simplifying this expression, we get:
[tex]x = (-7 ±\sqrt{51} )/4[/tex]
Therefore, the solutions to the quadratic equation 1 = 2x^2 + 7x are:
[tex]x = (-7 + \sqrt{51} )/4 and x = (-7 -\sqrt{51} )/4.[/tex]
To know more about quadratic equation go through:-
https://brainly.com/question/1214333
#SPJ1
Sneeze: According to a study done by Nick Wilson of Otago University Wellington, the probability a
randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on
a bench in a mall and observe 300 randomly selected individuals’ habits as they sneeze.
Task 1: What is and what is ?
Task 2: What are the mean and standard deviation?
Task 3: What are the conditions that must be met to use the normal approximation to the binomial
distribution? Are they met?
Thus, the mean and standard deviation for the randomly selected individuals is found as: mean = 80.1 and standard derivation = 7.66.
Explain about the standard deviation:The standard deviation is a measurement of how widely spaced out a set of data is from the mean. The bigger the dispersion or variability, the higher the standard deviation and the greater the magnitude of the value's divergence from its mean. It represents the absolute variability of a distribution.
Given data:
Number of population n = 300
probability p = 0.267
Mean is given as np:
np = 300*0.267
np = 80.1
standard derivation: √np(1 - p)
√np(1 - p) = √80.1(1 - 0.267)
√np(1 - p) = √58.7133
√np(1 - p) = 7.66
Thus, the mean and standard deviation for the randomly selected individuals is found as: mean = 80.1 and standard derivation = 7.66.
Know more about the standard deviation
https://brainly.com/question/475676
#SPJ1
Correct question:
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe 300 randomly selected individuals’ habits as they sneeze.
What are the mean and standard deviation?
Janct was driving home from work at a speed of 40 mph. Realizing she forgot her documents as she arrived home, she then drove back to work at a speed of 60 mph. What is her average speed for the entire trip?
A. 48 mph
B.49 mph
C. 50 mph
D. 52 mph
Answer: 50 mph
Step-by-step explanation:
an international company has 16,500 employees in one country. if this represents 16.8% of the company's employees, how many employees does it have in total? round answer to whole number
3x + y = 3
x + y = 2
Solve the system of equations.
3x + y = 3
x + y = 2
Solve the system of equations.
A x = 12
, y = 3x = 1 2 , y = 3
B x = 32
, y = 12
x = 3 2 , y = 1 2
C x = 3, y = 12
x = 3, y = 1 2
D x = 12
, y = 32
x = 1 2 , y = 3 2
E x = 52
, y = -92
Answer: x = [tex]\frac{1}{2}[/tex] , y= [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
A contestant draws a sequence of three cards. one question per card, and tries to answer the three questions. There are five cards with history questions, six cards with literature questions, and seven cards with science questions. Find the probability of each or the following. Round vour answers to four decimal places..
(a) the questions are mistory, hiterature, and science, in that order
(bi all three are literature questions
(c) the first is science, the second is history, and the third is science
(a) The probability of the questions being history, literature, and science in that order is 5/18 x 6/17 x 7/16, which is 0.04.
(b) The probability of all three questions being literature questions is 6/18 x 5/17 x 4/16, which is 0.024.
(c) The probability of the first question being science, the second history, and the third science is 7/18 x 5/17 x 7/16, which is 0.05.
What is probability?In playing cards, it can be used to predict the likelihood of a certain outcome or to make decisions based on the probability of certain events occurring.
(a) The probability of the questions being history, literature, and science in that order is 5/18 x 6/17 x 7/16, which is 0.04.
(b) The probability of all three questions being literature questions is 6/18 x 5/17 x 4/16, which is 0.024.
(c) The probability of the first question being science, the second history, and the third science is 7/18 x 5/17 x 7/16, which is 0.05.
The probabilities of each of these scenarios can be calculated by multiplying the probabilities of drawing each of the three cards in the desired order.
For the first scenario, the probability of drawing a history question is 5/18, the probability of drawing a literature question is 6/17 (since there is one fewer card), and the probability of drawing a science question is 7/16 (since there are two fewer cards).
Multiplying these together gives us the probability of the questions being history, literature, and science in that order, which is 0.0771.
For more questions related to cards
https://brainly.com/question/28714039
#SPJ1
A student scored 98, 94, 96, and 88 points out of 100 on the last 4 science tests. What score must the student score on the fifth test to have an average of at least 94 points?
The student needs to score 94 in 5th to get an average of 94 points.
Average:
The term "average" generally refers to the arithmetic mean, which is a measure of central tendency calculated by adding up all the values in a dataset and then dividing by the total number of values.
Hence the formula used to calculate the average is
Average = [ Sum of observations]/ No of observations
Here we have
A student scored 98, 94, 96, and 88 points out of 100 on the last 4 tests.
Here we need to at what score the average will be 94
Let x be the score the student got on 5 th test and the average is 94
Using the formula,
Average of the 5 test scores = [ 98 + 94 + 96 + 88 + x ]/ 5
As we assumed the average is 94
=> [ 98 + 94 + 96 + 88 + x ]/ 5 = 94
=> 98 + 94 + 96 + 88 + x = 470
=> 376 + x = 470
=> x = 94
Therefore,
The student needs to score 94 in 5th to get an average of 94 points.
Learn more about Average at
https://brainly.com/question/14282881
#SPJ1
PLEASE ANSWER AND DONT PUT RANDOM SUTFF.
1. Which linear equation is being represented by the graph?
(A)y = -3/4x + 4
(B)y = 3/4x - 3
(C)y = 3/4x + 4
(D)y = -3/4x - 3
2. Which equation best represents the relationship between x and y in the graph?
(A)y = 3x - 2
(B)y = 2x + 3/2
(C)y = -1/2x + 3
(D)y = -2x + 3
Write a matrix equation for the given systems of equations.
2x-6y-2z = 1
3y-2z=-5
2y + 2z = -3
Now, we can write the matrix equation as:
AX = B
| 2 -6 -2 | | x | | 1 |
| 0 3 -2 | | y | = | -5 |
| 0 2 2 | | z | | -3 |
How to solve the matricesTo write the given system of equations as a matrix equation, we will represent it in the form AX = B, where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of constants.
Given a system of equations:
2x - 6y - 2z = 13y - 2z = -52y + 2z = -3We can represent the matrices as follows:
A = | 2 -6 -2 |
| 0 3 -2 |
| 0 2 2 |
X = | x |
| y |
| z |
B = | 1 |
| -5 |
| -3 |
Now, we can write the matrix equation as:
AX = B
| 2 -6 -2 | | x | | 1 |
| 0 3 -2 | | y | = | -5 |
| 0 2 2 | | z | | -3 |
Read more about matrices here:
https://brainly.com/question/1279486
#SPJ1
HELP ASAP 25 PONITS
The percent markdown rounded to the nearest percent is 13%.
What is percent markdown?Markdown represents the difference between the original or full price of an item and the current price that's reduced. It's typically expressed as a percentage.
Equation:To find the percent markdown, we first need to calculate the amount of markdown, which is the difference between the original price and the sale price:
Markdown = $175.90 - $153.77 = $22.13
Next, we need to find the percent markdown by dividing the markdown by the original price and multiplying by 100:
Percent Markdown = (Markdown / Original Price) x 100
Percent Markdown = ($22.13 / $175.90) x 100
Percent Markdown = 0.1258 x 100
Percent Markdown = 12.58%
Rounded to the nearest percent, the percent markdown is 13%.
To know more about percent markdown, click here
https://brainly.com/question/28017140
#SPJ1
Suppose he got dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2, and then translates the figure 1 unit to the left. What will be the coordinates of the vertices of the similar figure that results
The vertices of the similar figure that results from the dilation and translation will be A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2a - 1, 2d).
Assume that the rectangle's four vertices are A, B, C, and D, with the corresponding coordinates being (a, b), (c, b), (c, d), and (a, d).
First, enlarge the rectangle.
We must multiply the coordinates of each vertex by the scale factor of two in order to enlarge the rectangle. We can apply the following formulas because the centre of dilation is at (0, 0):
Old x-coordinate + 2 equals the new x-coordinate
Old y-coordinate + 2 times the new y-coordinate
Therefore, following dilation, the new coordinates for the vertices will be: A' = (2a, 2b)
B' = (2c, 2b)
C' = (2c, 2d)
D' = (2a, 2d)
Translate the Figure in Step 2
The x-coordinate of each vertex must be reduced by one in order to translate the figure one unit to the left. Therefore, following translation, the vertices' new coordinates will be: A' = (2a - 1, 2b)
B'' = (2c - 1, 2b)
C'' = (2c - 1, 2d)
D'' = (2a - 1, 2d)
As a result, A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2c - 1, 2d) will be the vertices of the similar figure that comes from the dilation and translation. (2a - 1, 2d).
For such more question on vertices:
https://brainly.com/question/1217219
#SPJ11
The following question may be like this:
Suppose he got dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2, and then translates the figure 1 unit to the left. What will be the coordinates of the vertices of the similar figure that results
Let f(x) = IxI and g(x) = x^2
Find all values of x for which f(x) > g(x)
write your answer in interval notation
PLS HELP I WILL GIVE 50 POINTS
The interval in which the inequality is true is:
-1 < x < 1
For which values of x we have f(x) > g(x)?
Here we know that:
f(x) = |x|
g(x) = x²
Now, remember that in a product:
a*A
we have:
|a*A | > a if A > 1.
|a*A| < a if A < 1.
So, in a square like in g(x) = x²
if -1 < x < 1
Then the outcome will be smaller than the input, because we are multiplying by a numer smaller than 1.
Then:
f(x) > g(x)
|x| > x²
In the interval -1 < x < 1
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1