The values of A and B are 2 and 4 respectively.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
(x + A)² - 3 = x² + 4x + B
We can write the given equation as -
(x + A)² - 3 = x² + 4x + B
x² + A² + 2Ax = x² + 4x + B
A² + 2Ax = 4x + B
A² + 2Ax = B + 4x
Equating both sides, we get -
A² = B
and
2A = 4
A = 2
Then B will be equivalent to 4.
B = 4
Therefore, the values of A and B are 2 and 4 respectively.
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Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.
How much space is inside the fort?
Give an exact answer (do not round).
Practice: Determining if a Relation is a Function the Siven is not a funcr...l
since the element in the domain is repeated!
1) {(-1, 8), (0, 15), (1,-4), (2, 0)}2) {(-5,2), (5, 2), (0, -3), (3, -8)} 3) {(-2,7), (6,2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differe
y-Coordinates.
4) {(7.2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2.6)}
6) {(1,-4), (2,-4), (3, 4), (4-4)}
On solving the provided question, we can say that - here in the function, every element has an unique image
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
every element has an unique image and,
this relation, is not a function, since it is not one-one and onto.
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1.an=5n+5
A1 A2 A3
2.An=6n²+3
A1 A2 A3
Answer:
a1=11
a2=15
a3=20
a1=9,a2=27,a3=57
Answer:
#1aₙ = 5n + 5
a₁ = 5*1 + 5 = 10a₂ = 5*2 + 5 = 15a₃ = 5*3 + 5 = 20#2aₙ = 6n² + 3
a₁ = 6(1²) + 3 = 9a₂ = 6(2²) + 3 = 27a₃ = 6(3²) + 3 = 57) For comparison with other years and with other countries, we prefer a histogram of the percentages in each age class rather than the countries. Explain why.
Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns,.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
Given : we prefer a histogram of the percentages in each age class rather than the countries
It's because Different years and countries may have different overall numbers of newborns, making a comparison based on the absolute numbers difficult
If we insist on using the absolute numbers,
The group with the most population would definitely result in higher results, and make it impossible for us to see the changes in weight that happen to average inborns.
Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns.
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Consider two stocks. Stock 1 always sells for $10 or $20. If stock 1 is selling for $10 today, there is a .80 chance that it will sell for $10 tomorrow. If it is selling for $20 today, there is a .90 chance that it will sell for $20 tomorrow. Stock 2 always sells for $10 or $25. If stock 2 sells today for $10, there is a .90 chance that it will sell tomorrow for $10. If it sells today for $25, there is a .85 chance that it will sell tomorrow for $25. On the average, which stock will sell for a higher price? Find and interpret all mean first passage times.
Answer:
On stock 2 will be has an average sell of $50 for higher price.
Step-by-step explanation:
stock 1 of $10 (today)+ $10 (80% chance tommorow)=$20 stock sell price and for $20(today)+$20(90% chance tommorow)= $40 this two final of price for stock 1.
Stock 2 of $10 (today)+$10(90% chance tommorow)= $20 and of $25(today)+$25(85% chance tomorrow)= $50 this two for final of it's price for stock 2.So as for Stock 2 has the average sell higher price.
Hope this helps you
On Saturday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Let x be the number of hamburgers sold, then the number of cheeseburgers sold can be represented as 2x. The total number of hamburgers and cheeseburgers sold is the sum of these two quantities, so we can write an equation:
x + 2x = 396
To solve for x, we can combine like terms on the left side of the equation:
3x = 396
Then we can divide both sides by 3 to get:
x = 132
So, the number of hamburgers sold on Saturday is 132.
Tracy puts $3,500 into an investment yielding 4.5% annual interest. She left the money in for 8 years and 3 months. How much interest does she get in that time
Tracy gets $1299.375 interest after 8 years and 3 months for an investment of $3,500 at a 4.5% annual interest rate.
What is Simple Interest?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
The formula for calculating Simple Interest is -
S.I. = (P×R×T)/100
where, P = initial principal balance, R = annual interest rate and T = time (in years)
So, the principal rate, P = $3,500, the interest value, R = 4.5%, and the Time is T= 8.25 years.
Applying the formula for Simple Interest -
S.I. = (P×R×T)/100
S.I. = (3500×4.5×8.25)/100
S.I. = 1299.375
Therefore, the interest amount obtained is $1299.375.
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Solve for x
answer needs to be fraction
9514 1404 393
Answer:
9/8
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AB/CB = AD/ED
x/1 = (x+9)/9
9x = x +9 . . . . . . multiply by 9
8x = 9 . . . . . . . . .subtract x
x = 9/8 . . . . . . . . divide by 8
Which equation is equivalent 2^4x=8^x-3
Find the midpoint and distance between (-3,10) and (15,-2)
The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.
What is the midpoint and distance between the given coordinates?The midpoint formula is expressed as;
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1(-3,10)
x₁ = -3y₁ = 10Point 2( 15,-2 )
x₂ = 15y₂ = -2Plug the given values into the midpoint formula and simplify.
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]
[ ( 12)/2, ( 10 - 2 )/2 ]
[ ( 12)/2, ( 8 )/2 ]
( 12/2, 8/2 )
( 6,4 )
Therefore, the midpoint is (6,4).
Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 15 - (-3) )² + ( -2 - 10 )² )
D = √( ( 15 + 3 )² + ( -2 - 10 )² )
D = √( ( 18 )² + ( -12 )² )
D = √( 324 + 144 )
D = √( 468 )
D = 6√13
Therefore, the distance between the points is 6√13.
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In response to rising concerns about identity theft, the number of models of paper
shredders a company manufactures increased approximately steadily from 5 models
in 1993 to 34 models in 2005. Find the average rate of change of the number of
shredder models manufactured per year between 1993 and 2005.
The average rate of change of the number of paper shredders manufactured per year
between 1993 and 2005 was 0.41
(Type an integer or decimal rounded to two decimal places as needed.)
(3x −5)^2 =(? + ?? +25)
Answer:
x = 3.556 or [tex]\frac{32}{9}[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
(3*x-5)^2-((x+x+25))=0
Evaluate:
[tex](3x-5)^{2}[/tex] = [tex]9x^{2} -30x+25[/tex]
Pull like factors:
9x^2 - 32x = x • (9x - 32)
x • (9x - 32) = 0
Remember roots of a product:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.
Solve : 9x - 32 = 0
Add 32 to both sides of the equation :
9x = 32
Divide both sides of the equation by 9:
x = 32/9 = 3.556
For the following geometric sequence, find the recursive formula.
(-80, 20, -5, ...)
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Answer:
a[1] = -80a[n] = -a[n-1]/4Step-by-step explanation:
The first term is -80, so the first part of the recursive definition is ...
a[1] = -80
The common ratio is 20/-80 = -1/4, so the recursive rule is ...
a[n] = (-1/4)a[n-1]
PLEASE HELP!!
Angle three is the angle of elevation from the tree to the ship?
Angle three is the angle of depression from the tree to the ship?
Angle three is the angle of depression from the ship to the tree?
Angle three is the angle of elevation from the ship to the tree?
Please help me due today
Answer:
To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x
remember the acronym soh cah toa.
to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa
setting it up looks like this
tan 72° = [tex]\frac{x}{8\\}[/tex]
solving for x gives us x= 8×tan 72°
which is about 24.62
Step-by-step explanation:
Every month $50 is withdrawn from Tom’s savings account to pay for his gym membership he has enough savings to withdraw no more than $200 for how many months can Tom pay for his gym membership.
Answer:
4 months.
Step-by-step explanation:
A roller coaster begins at ground level, rises 63 feet, then falls 71 feet. What is the
elevation of the roller coaster, relative to the ground? *
134 feet
8 feet
- 8 feet
- 134 feet
Answer:
-8 feet
Step-by-step explanation:
63 - 71 = -8
a biking track has a length of 2376 feet. how long is this in miles
Answer:0.45 miles
Step-by-step explanation:
Conversion
00:00
Which is greater: 10 centimeters or 103 millimeters? How much greater?
Answer:
103 is greater by .3
Step-by-step explanation:
103 mm equals 10.3 cm so it is greater by .3
Please help (the value are 50 and 45
Answer:
85 degrees
Step-by-step explanation:
Angle DEC = 50 degrees (vertically opposite angles are equal).
So angle CDE= 180-45-50=85 degrees (angles in triangle sum to 180).
Because they are similar x = 85 degrees
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
Correct answer is 8.2
I see 5 points instead of 50 pointssssss
Give 50, otherwise I will report u
Please solve the ques. below
The velocity of the train is given as follows:
900 m / min.
How to obtain the velocity of the train?To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:
v = d/t.
In which the parameters are given as follows:
v is the velocity.d is the distance.t is the time.The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:
200/0.25 = 800 m / min.
(the difference in velocity is the distance covered divided by the time).
As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:
800 + 100 = 900 m / min.
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BRAINLIEST FOR ANSWER UNDER 10 MINUTES The table shown represents a linear relationship.
x 0 1
3
4
y-8-6-20
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x-8
Oy = 2x+8
Oy = -2x + 4
Oy=-2x - 4
Answer: y = 2x-8
Step-by-step explanation:
Let's try to determine by substitution method. Starting from the first equation:
y = 2x-8
2·0-8 = -8
2·1-8 = -6
2·3-8 = -2
2·4-8 = 0
The first equation satisfies the conditions of the table.
Find the area and perimeter of the triangle
Answer: 25.2
Step-by-step explanation: hope the is helps :D
Expand and simplify
(x-2)(2x+3)(x+1)
Answer:
2x³ + x² - 7x - 6
Step-by-step explanation:
(x-2)(2x+3)(x+1)
first: (x-2)(2x+3) = 2x² + 3x - 4x -6 = 2x² - x - 6
second: (2x² - x - 6)(x+1) = 2x³ + 2x² - x² - x - 6x - 6 = 2x³ + x² - 7x - 6
Answer:
(x-2) [(2x+3)(x+1)]
(x-2)[(2x²+2x+3x+3)]
(x-2)[(2x²+5x+3)]
(x-2) (2x²+5x+3)
2x³+5x²+3x-4x²-10x-6
Answer = 2x³+x²-7x-6
A student takes a multiple choice exam with 10 questions, each with four possible selections for the answer. A passing grade is 60% or better. Suppose that the student was unable to find time to study for the exam and just guesses at each question. Identify the probability that the student gets exactly one question correct.
a. 0.00157
b. 0.00004
c. 0.0023
d. None of the given answers
f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
Swimming Pool B is also rectangular and has a perimeter of 90m. Its length is 25m. What is the width?
By using the formula for the perimeter, we will get that the width of the pool is 20 meters.
What is the width of the swimming pool?
Remember that for a rectangle of length L and width W, the perimeter is given by the formula:
P = 2*(L + W)
In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:
P = 90m
L = 25m
Replacing that in the formula above we will get:
90m = 2*(25m + W)
now we can solve this for W.
90m/2 = 25m + W
45m - 25m = W
20m = W
The width of the pool is 20 meters.
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I need help with this
Answer:
im confusled
Step-by-step explanation:
A cone has a height of 12 centimeters and a diameter of 10 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
please help i really need like 6 more questions
Answer:
314 cm³
Step-by-step explanation:
Given ::
Cone height, h = 12 cm
Diameter of cone, d = 10 cm
Hence, radius, r = diameter / 2 = 10/2 = 5cm
The volume of a cone = 1/3 πr²h
V = 1/3 * 3.14 * 5² * 12
V = 3.14 * 25 * 4
V = 314cm³