Answer:
2x^2 (5 - 9x + 7x^2)
Step-by-step explanation:
use the smallest exponent (x^2) and number (10) to factor
2 and x^2 could be factored from all
when factoring put exponents, you subtract them
2x^2 (5 - 9x + 7x^2)
Does anyone know how to solve |4x+3|-9<5
Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
=======================================================
Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Read the word problem below.
Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?
Which strategy could help solve this word problem?
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
Divide 196 by the sum of 4 and 8 and find the quotient.
Divide 196 by 4 and check that the remainder is 8.
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
Answer:
The last option 8x + 4 = 196
Step-by-step explanation:
8x + 4 = 196
8x = 192
x=192/8
x=24
The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
What is the strategy?A strategy is an approach that leads someone to the nearest of the solution of a problem.
How to solve the equation?Soni has 196 pencils.
Let, one box can accommodate x number of pencils.
Therefore 8 boxes can accommodate 8x number of pencils.
But she has 4 more pencils.
Hence, the required equation is 8x+4=196.
Learn more about the equation here :
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Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
Answer:
-2
Step-by-step explanation:
when x=0 y=-2... it is a decline
How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month
Answer:
433
Step-by-step explanation:
433. . . . . . . ............,.. srry it made me write this much to answer
Answer:
The correct answer would be D!Step-by-step explanation:
Employee's salary: $52,000
Months in a year: 12
52000 / 12 = 4,333.333(r)
Closest answer: D
Tell me both the numbers for the 2 boxes pls
Need help with this question. Will give brainliest for correct answer.
Answer: the second to last
Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last
i need help with 2 of these questions
Answer:
Why do you keep sending the same question over and over again?
Step-by-step explanation:
Total Time Taken = 16secs
10a). We're asked to calculate the rate of speed change for the first 5secs.
This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.
Why?
Acceleration is the rate of change of speed or the rate at which speed changes.
acceleration = v - u/t
where v = Final Speed
u = initial Speed.
Looking at the graph
You see that
Initial speed(u) = 1m/s
Final Speed(v) = 9m/s
t = 5secs
Acceleration = 9 - 1/ 5
a = 8/5
a = 1.6m/s².✅
10b)
We're asked to calc "t" from the graph.
Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².
This simply means that Constant Acceleration was held from "t" to the end of the Motion.
Do not confuse Constant Acceleration for Constant Velocity.
At Constant Velocity... Acceleration is zero(0)
At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.
Taking the same step as we used in calculating acceleration above
Given a= 2m/s²
a = v - u/∆t
Where ∆t means time change or difference.
From "t" to 16
The change in time is 16 - "t"
2 = 21 - 9/( 16 - t)
2 = 12/16-t
16-t = 12/2
16 - t = 6
t = 16 - 6
t = 10secs.✅
Have a great Day!.
PLEASE HELP! it's due today
Answer:
[tex]thank \: you[/tex]
IM STUCK ON THIS QUESTION.
WHATS 1+1
What is 17 rounded to the nearest tenth of an inch
You can't round 17 to the nearest tenth of an inch because 17 is a whole number.
If I don't read carefully, I often make mistakes on my work.
compound complex
sentence
compound sentence
simple sentence
complex sentence
Answer:
compound sentence
Step-by-step explanation:
Tami has both a checking account and a savings account at the bank. She has a total of $850 in both accounts. The ratio of checking savings is 3 to 7. How much money does tami have in her checking account? How much does she have in her savings?
Amount in her checking and saving account is $255 and $595
Given information:
Total amount in both accounts = $850
Ratio of checking to saving account = 3:7
Find:
Amount in her checking and saving accounts
Computation:
Total of ratio = 3 + 7
Total of ratio = 10
So,
[tex]Amount\ in\ her\ checking\ account = 850 \times \frac{3}{10}[/tex]
Amount in her checking account = $255
[tex]Amount\ in\ her\ saving\ account = 850 \times \frac{7}{10}[/tex]
Amount in her saving account = $595
Learn more:
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math! help! pls! pls!
Answer:
3. MNP = OPN
Step-by-step explanation:
the second could be as well, but the sequence is the same for the third option, thus the second option is wrong
What is the measure of ZX?
Select the best answer from the choices provided.
A.38°
B.76
C.104
D.142°
Answer:
76°
Step-by-step explanation:
Angles adjacent to equal sides of a triangle are equal.
Exterior angle
= Sum of interior opposite angles
= 38° + 38°
= 76°
i need help with atleast 2 of these questions pls
Answer:
Below.
Step-by-step explanation:
(a) Over the first 5 seconds rate of change of speed
= (9-1)/5
= 8/5
= 1.6m/s^2
(b) (21-9)/16-t) = 2
12/16-t = 2
32 - 2t = 12
32 - 12 = 2t
20 = 2t
t = 10 seconds
Step-by-step explanation:
Total Time Taken = 16secs
10a). We're asked to calculate the rate of speed change for the first 5secs.
This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.
Why?
Acceleration is the rate of change of speed or the rate at which speed changes.
acceleration = v - u/t
where v = Final Speed
u = initial Speed.
Looking at the graph
You see that
Initial speed(u) = 1m/s
Final Speed(v) = 9m/s
t = 5secs
Acceleration = 9 - 1/ 5
a = 8/5
a = 1.6m/s².✅
10b)
We're asked to calc "t" from the graph.
Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².
This simply means that Constant Acceleration was held from "t" to the end of the Motion.
Do not confuse Constant Acceleration for Constant Velocity.
At Constant Velocity... Acceleration is zero(0)
At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.
Taking the same step as we used in calculating acceleration above
Given a= 2m/s²
a = v - u/∆t
Where ∆t means time change or difference.
From "t" to 16
The change in time is 16 - "t"
2 = 21 - 9/( 16 - t)
2 = 12/16-t
16-t = 12/2
16 - t = 6
t = 16 - 6
t = 10secs.✅
Have a great Day!.
PLZ HELP QUICKLY!!!!!!!!!!!!
No LINKS PLEASE!!!!!!!!!
Answer:
Uhh i dont rly know sry
Step-by-step explanation:
pretty sure this is algebra
[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]
let's solve :[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]
[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]
[tex] \hookrightarrow \: 0.4 + 1[/tex]
[tex] \hookrightarrow \: 1.4[/tex]
Cho 2 tập hợp A = {1;3;5;8}, B = {3;5;7;9}. Tìm A∩B và A∪B.
Answer:
gien
Step-by-step explanation:
URGENT STAMPS Zoe added 23 tamps to her
collection., Three months later her
collection had tripled in number to a
total of 159 stamps. How many stamps
did Zoe have to start her collection?
Answer:
30
Step-by-step explanation:
x = original number of stamps
x+23 (added 23 stamps to the collection)
3(x+23) tripled in number
3(x+23) = 159
Divide each side by 3
3(x+23)/3 = 159/3
x+23=53
Subtract 23 from each side
x+23-23 = 53-23
x = 30
Please answer this for me
Answer:
B
Step-by-step explanation:
It implies that his plane ticket and other expenses should all be less than the $2000 he has saved.
In the figure MX = NY
MX and NY are parallel.
i) Are the sides of ∠MPX equal to the sides of ∠NPY ?
ii) what is the special about the postion of P on MN
Answer:
i) yes
ii) it splits MN in half (bisector)
Step-by-step explanation:
We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).
(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).
Answer:
YesPoint of intersectionStep-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression?
What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the
function g(x)=(x+5)2+3?
-5
-3
3
Answer:
3
Step-by-step explanation:
A algebraic transformation is represented by
[tex]a(bx - h) + k[/tex]
where a is the vertical compression or stretch. a is also the vertical reflection if value is negative . B is the horizontal compression or stretch it is also a horizontal reflection if it value is negative. h is the horizontal shift. And k is the vertical shift.
3 replaces k in this scenario for the vertical translation so 3 is the answer.
What value of x makes the following equation true?
x3=-64
Answer:
Any value you choose for x will make the equation a TRUE statement.
A box has length 3 feet, width 4 feet, and height 7 inches. Find the volume of the box in cubic feet and cubic inches. Round to the nearest tenth as needed.
Answer:
I think 72 inches I might be wrong
PLS HELP A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data:
Number of workers
(x) 0 10 20 30 40 50 60 70 80 90
Number of units
(y) 2 52 102 152 202 252 302 352 402 452
Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer:
Part A: Yes. There is a correlation between the number of workers in a factory and the number of units produced daily.
Part B: The equation of the function that best fits the data is
Part C: The slope is which indicates the rate of change of number of units produced daily over the change in number of workers. The y - intercept is which indicates the number of units produced by number of workers.
Explanation:
Part A: To determine the correlation coefficient, first we shall find the slope and y - intercept.
Let us substitute the coordinates and in the slope formula, to find the value of slope.
Hence, we have,
Thus, the slope is
The y - intercept is the value of y when the value of x is equal to 0.
Thus, from the table , we can see that when , the value of y is 2
Hence, the y - intercept is
Substituting the values and in the slope intercept form , we get,
Hence, there is a linear correlation between the number of workers in a factory and the number of units produced daily.
Part B: To find the function that best fits the data, let us substitute the value of slope and y - intercept in the slope intercept formula.
Since, we have already found slope and y - intercept
Substituting these values in the slope intercept form , we get,
Thus, the function that best fits the data is
Part C:
The slope is
The slope indicates that the rate of change of number of units produced daily over the change in number of workers.
The y - intercept is
The y - intercept indicates that the number of units produced by number of workers.
Step-by-step explanation:
A. Yes. B. A linear function of the form y = 5x + 2 can best fit the data. C. The slope (m) of the plot indicates the rate of change in the number of units produced per worker. The y-intercept (b) indicates the number of units produced when there are zero workers.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
Part A:
Yes, there is a positive correlation between the number of workers in a factory and the number of units produced daily. As the number of workers increases, the number of units produced also increases.
Part B:
A linear function of the form y = 5x + 2 can best fit the data, which is determined by the two points (10, 52) and (50, 252).
Part C:
The slope of the plot indicates the rate of change in the number of units produced per worker. The y-intercept indicates the number of units produced when there are zero workers. The slope and y-intercept together describe the overall trend of the data and can be used to make predictions about future production levels.
Learn more about the Linear functions here:
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An ant walk about 3 inches per second how many miles per day could an ant travel if it walked without a break?
Answer:
Step-by-step explanation:
45/11 miles per day or ~4.091 miles per day
Step-by-step explanation:
3 inches per second
24 hours in a day
60 minutes in 1 hour
60 seconds in 1 minute
Amount of inches per minute: 3 x 60 = 180 inches
Amount of inches per hour: 180 x 60 = 10,800 inches
Amount of inches per day 10,800 x 24 = 259,200 inches
To find the number of feet that 259,200 inches is, divide by 12.
259,200/12 = 21,600 feet per day
To find the number of miles that 21,600 feet is, divide by 5280.
21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091
So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.
Please explain how you got the answer also please, thank you :)
Answer:
x = 3
Step-by-step explanation:
The axis of symmetry passes through the vertex of the graph with equation
x = c
where c is the value of the x- coordinate of the vertex
The vertex is at (3, - 2 ) with x- coordinate 3 , then
x = 3 ← equation of axis of symmetry
Can someone answer this correctly because i am doing hegarty maths and i cant get this question wrong please someone help :)
Answer:
£ [tex]36[/tex]
Step-by-step explanation:
In this situation, the price of an item is (£ [tex]45[/tex]). It is given that there is a ([tex]\frac{1}{5}[/tex]) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:
[tex](1-(rate\ of\ discount))(original\ price)=sale\ price[/tex]
Substitute the given values into this equation:
[tex](1-\frac{1}{5})(45)=sale\ price[/tex]
Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.
[tex](1-\frac{1}{5})(45)=sale\ price[/tex]
[tex](\frac{5}{5}-\frac{1}{5})(45)=sale\ price[/tex]
[tex](\frac{5-1}{5})(45)=sale\ price[/tex]
[tex](\frac{4}{5})(45)=sale\ price[/tex]
Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).
[tex](\frac{4}{5})(45)=sale\ price[/tex]
[tex](4)(45 / 5)=sale\ price[/tex]
[tex](4)(9)=sale\ price[/tex]
[tex]36=sale\ price[/tex]
Answer:
The answer is 36$
Step-by-step explanation:
Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.
Y= 0.5x + 2 showing on the graph
Answer:
Y is output, x is input
Step-by-step explanation:
I. Given x is -1, 0, 1
II. Perform x in linear equation
If x is -1
y = 0.5(-1) + 2
y = 1.5
=> (-1, 1.5) -1 is x, 1.5 is y
If x is 0
y = 0.5(0) + 2
y = 2
=> (0, 2) 0 is x, 2 is y
If x is 1
y = 0.5(1) + 2
y = 2.5
=> (1, 2.5) 1 is x, 2.5 is y
III. Perform (x, y) in graph, there will be something like this