The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84

Answers

Answer 1

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42


Related Questions

solve 2x−3y=−1 , 3x+4y=24

Answers

Let’s start with 2x-3y=-1–>y=2/3x+1/3 then substitute that in for y in the second equation: 3x+4(2/3x+1/3) then solve for x; once x has been found substitute the value of x into either of the equations and evaluate it to find y
Use the elimination method for systems of equations.

Your answer should be x = 3

Plug the x value into one of the equations and you should get y = 7/3

The solution is (3, 7/3)

Five times the sum of a number y and eleven is three less than seventeen. Find y

Answers

Answer:

y is -8

Step-by-step explanation:

13+7²÷7/9-20÷4-16 equals ​

Answers

Answer:

45

Step-by-step explanation:

Line perpendicular to y = -2x - 7 when it passes the points (-2,-3)

Answers

Answer:

The line is  y = 1/2x - 2

Step-by-step explanation:

The required  line will have a slope of -1/-2 = 1/2.

Using the point slope form of a line:

y - (-3) = 1/2(x -  (-2))

y + 3 = 1/2x + 1

y = 1/2x - 2.

The length of a rectangle is 3x^4 and the width is 5x^5. What is the
area of the rectangle? *

Answers

[tex]\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}[/tex]

Length of rectangle = 3x⁴width of Rectangle = 5x⁵

Area = 3x⁴ × 5x⁵

Area of rectangle = 15x⁹

Answer:

Area of rectangle = 15x⁹

What is the slope of the line on the graph?



Enter your answer in the box.




$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
A coordinate grid that includes the line y equals six x minus one. Points are plotted at begin ordered pair 1 comma 5 end ordered pair begin ordered pair 0 comma negative 1end ordered pair and begin ordered pair negative 1 comma negative 7 end ordered pair.

PLEASE HELP ILL MAKE MOST BRAINLIEST!!!

Answers

Can you show a picture of the graph

Answer: so what's the answer we cant tell you if we cant see the graph

Step-by-step explanation:

i need some help ill give brainly

Answers

Answer:

Step-by-step explanation:

Which could be the result of compressing the graph of y = -8x – 12 and reflecting it across the horizontal line
containing the y-intercept of the function?
A)y = -2x - 12
B)y = -4x - 12
C)y = 2x - 12
D)y = 3x - 12
E)y = 16x -12

Answers

Answer:

C or D

Step-by-step explanation:

A pool gained 10 gallons of water on Friday due to rain. How could the owner of the pool bring the water level back to its previous level? Select three that apply. A Let 10 gallons of water evaporate. B Add 10 gallons of water with a hose. C Drain 10 gallons of water from the pool. D Increase the amount of water by 10 gallons due to rain. E Let her kids play in the pool and splash out 10 gallons of water. F Fill 10 old milk gallons with water and dump them into the pool.

Answers

Answer:

A, C, and E

Step-by-step explanation:

we want to eliminate 10 gallons of water, not add 10 gallons

Three friends entered a race around a track. Edward takes 6 minutes to run one lap. Bernie takes 3 minutes to run one lap and it takes Freddie 5 minutes to run one lap. If all three friends begin the race at the same time, how many minutes will it take for all three friends to be at the starting point again?

Answers

Answer:

It will take 30 minutes

Step-by-step explanation:

Here, we want to calculate the time it will take for the three friends to be at the starting point again

What we do here is to note the time it will take for each of the three friends to run a lap

That will be 6 , 3 and 5

What we now need to know the time is to find the lowest common multiple of the three amount of time

The lowest common multiple of 6,3 and 5 is 30

So the amount of time it will take the friends to be at the starting point again is 30 minutes

How many hours will you have to work each weekend day to have a 33 hour work week? Assume you don't work during the weekdays.

Answers

You could work 16 1/2 hours Saturday and Sunday

DUE SOON
evaluate -3 1/5 + 7 3/5 =
-5 +2 - 8 -(-14)= show work pls

Answers

To hard sorry try Socratic it’s a app that helps with math problems

1/3(6z+7.2)=0.5(8z+2)-0.4 please hurry this is for now

Answers

Answer:

z = - 0.78

Step-by-step explanation:

Given:

1/3(6z+7.2)=0.5(8z+2)-0.4

Open parenthesis

2z + 2.4 = (4z + 1) - 0.4

2z + 2.4 = - 1.6z - 0.4

Collect like terms

2z + 1.6z = - 0.4 - 2.4

3.6z = -2.8

z = -2.8 / 3.6

= - 0.78

What necessary information is missing from this formula page?
W-work F-force x-distance
Work = force(distance) W = Fx
a. Formula numbers
C.
Formula origin
b. Formula title
d. All of these
Please select the best answer from the choices provided
A
B
OOOO
С
D

Answers

Answer:

B. formula title

Step-by-step explanation:

i got it right

Which graph best represents the function y = - 1/2 (x +4)?

Answers

Answer:

y=-1/2x-2

Step-by-step explanation:

simplify the expression to get the equation in slope intercept form, and find the graph that fits it

Select all values that make the equation true.
2(x - 8) = x + 5x

X = -4
X = -16
X = -2
X = 0

Answers

Answer:

the only Answer is -4

Step-by-step explanation:

hope this helps

Write an expression equivalent to 5x−2(x+4), in simplest form

Answers

Answer:

3x-8

Step-by-step explanation:

I searched the answer on a expression calculator. I hope this helps you

Answer:

3x-8

Have A Good Day!!!!

:)

El valor de una casa es de $655 000 al contado, pero al venderla a plazos se le carga 25.5% de su precio. ¿Cuál es el costo final de la casa si se vende a plazos?

Answers

Answer:

la respuesta seria,487,975

Step-by-step explanation:

Si resta 655,000 - 25.5% entonces la respuesta es 487,975 dólares con el plazo se le carga.

Espero que esto haya ayudado :)

The price when selling on installments be $822025.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is that the value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price.

 

Assume the price when selling on installments be $x. Then, we can write new price as -

[x] = 655000 + {25.5% of 655000}

[x] = 655000 + {25.5/100 x 655000}

[x] = 655000 + {25.5 x 6550}
[x] = 655000 + 167025

[x] = $822025

Therefore, the price when selling on installments be $822025.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

{Question in english would be

The value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price. What is the final cost of the house if it is sold in installments?}

Which of these are rational number?

Which of these are irrational number?

Which of these are real numbers?

A)/8

B)3/2

C)-31

D)/4

E)/-9

F)/11

Answers

Answer:

they are all real.

B and C are rational

A, D, E, and F are irrational

Step-by-step explanation:

Andy works at a grocery store. The manager of the store would like Andy to set up a display of apples. Part of the display will include bags of apples. If there are 39 pounds of apples in the back of the store, how many bags of apples can Andy make for the display? each bag has 1 1/2 pound

Answers

Answer:

Andy can make 26 bags for the display.

Step-by-step explanation:

Quantity of apples in the back of the store = 39 pounds

Quantity of apples in one bag = [tex]1\frac{1}{2}[/tex] pounds

Here,

[tex]1\frac{1}{2}=\frac{2(1)+1}{2}=\frac{3}{2}[/tex]

Number of bags = Quantity of apples in the back of the store / Quantity of apples in one bag

[tex]=\frac{39}{1\frac{1}{2} }=\frac{39}{\frac{3}{2} }=39(\frac{2}{3})=26[/tex]

So, Andy can make 26 bags for the display of apples.

What would be the answer ? Please explain and show work.

Answers

Answer:

The pool is 400 square meters

Step-by-step explanation:

To figure out the are of a slanted shape such as this, we must turn it into a shape that is non-slanted, like a rectangle or square (which is a type of rectangle). For this parallelogram, we can separate the shape into three parts: the two slanted bits on the outside, and a rectangle (7*2) in the middle (or on the inside).

We can see that each slanted part can take up half of two squares, and therefore one square. From here on out, we can do this one of two ways:

1. Figure out the area of the inside rectangle, then add the two slanted parts/two squares separately

OR

2. Since each slanted area equals one square, or since each is half of two square, we can add both sides together (for 1/2 + 1/2 = 1, or in this case,        1 +1 = 2), to make a full or complete rectangle, before figuring out the area of the shape as a whole (8*2).

8*2 = 16

Each square is 1 cm squared, which is in proportion to 25 meters squared (each cm is 5 meters (1:5), so the square, which is 1 cm by 1 cm, is proportionate to 5 meters by 5 meters).

16*25 = 400

The pool is therefore 400 square meters.

What is are the slope and the y-intercept for Savings Account A *
0 points

This is a required question
What is are the slope and the y-intercept for Savings Account H *
0 points
What is are the slope and the y-intercept for Savings Account C *
0 points
What is are the slope and the y-intercept for Savings Account D *
0 points
What is are the slope and the y-intercept for Savings Account E *
0 points
What does the y-intercept represent in this situation? *
0 points
What does the slope represent in this situation? *
0 points

Answers

Answer:

Sweet potato applesauce

Step-by-step explanation:



solve 
P
=
144
p
y
P
=
144
p
y
for 
p
p

Answers

the difference of 10 and 5

I need help graphing y equals -4/3 x - 1 o​

Answers

Answer:

Check out my graph!

First graph -1 which is on the bottom on the y axis. Then, since your subtracting and it’s negative, move down 4 and the denominator is -3 so you have to move to the right. You should be at point -5,3. So the graph should have the points plotted at -1 and -5,3. Hope this helps!


Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

Answer:-4,2

Step-by-step explanation:

Will give brainliest asap please

Answers

Answer:

Possible rational roots: ±1,±5.

Actual rational roots: −1,5.

Step-by-step explanation:

The trailing coefficient (coefficient of the constant term) is −5.

Find its factors (with plus and minus): ±1,±5. These are the possible values for p.

The leading coefficient (coefficient of the term with the highest degree) is 1.

Find its factors (with plus and minus): ±1. These are the possible values for q.

Find all possible values of pq: ±11,±51.

Simplify and remove duplicates (if any), these are possible rational roots: ±1,±5.

Next, check the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x−a should equal 0.

Check 1: divide x3−3x2−9x−5 by x−1.The quotient is x2−2x−11 and the remainder is −16  

Check −1: divide x3−3x2−9x−5 by x+1.The quotient is x2−4x−5 and the remainder is 0  

So, −1 is a root.

Check 5: divide x3−3x2−9x−5 by x−5.The quotient is x2+2x+1 and the remainder is 0  

So, 5 is a root.

Check −5: divide x3−3x2−9x−5 by x+5.The quotient is x2−8x+31 and the remainder is −160  

1. Find all of the possible roots by using ±p/±q p= the constant
q= lead coefficient of highest term which is x^3 which has a leading coefficient of 1.
2. P=±1,±5, Q=±1. You would divide the factors of the constant by the factors of the leading coefficient.
3. Possible roots for this equation. ±1,±5.
4. Factor the equation.

x³-3x²−9x−5

x³+x²−4x²−4x-5x-5

x²(x+1)-4x(x+1)-5(x+1)

(x+1)(x²-4x-5)

(x+1)(x-5)(x+1)

5. Set all of the factors to zero and solve for x to get your rational roots to the equation.

x+1-1=0-1
x=-1

x+1-1=0-1
x=-1

x-5+5=0+5
x=5

6. Final Solution:

Possible Rational Roots: ±1, ±5
Rational Zeros: (5,-1 multiplicity of 2)
Answer Choice: D



A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house.

How much did she earn on the sale?

Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

Commission = % * Base Price

Commission = 6/100 * 92000

Commission = $5520.00

(2x-27)
(x+2)
What is x?

Answers

Answer:

7

Step-by-step explanation:

do the math

1 + 216 = (a + b)(a2 + ka +36), what does k equal?


PLEASE ANSWER NOW NOW NOW

Answers

Answer:k=−a3−a2b−36a−36b+217/a2+ab

         

Step-by-step explanation:Step 1: Flip the equation.

a3+a2b+a2k+abk+36a+36b=217

Step 2: Add -a^3 to both sides.

a3+a2b+a2k+abk+36a+36b+−a3=217+−a3

a2b+a2k+abk+36a+36b=−a3+217

Step 3: Add -a^2b to both sides.

a2b+a2k+abk+36a+36b+−a2b=−a3+217+−a2b

a2k+abk+36a+36b=−a3−a2b+217

Step 4: Add -36a to both sides.

a2k+abk+36a+36b+−36a=−a3−a2b+217+−36a

a2k+abk+36b=−a3−a2b−36a+217

Step 5: Add -36b to both sides.

a2k+abk+36b+−36b=−a3−a2b−36a+217+−36b

a2k+abk=−a3−a2b−36a−36b+217

Step 6: Factor out variable k.

k(a2+ab)=−a3−a2b−36a−36b+217

Step 7: Divide both sides by a^2+ab.

k(a2+ab)

a2+ab

=

−a3−a2b−36a−36b+217

a2+ab

k=

−a3−a2b−36a−36b+217

a2+ab

a projectile is thrown upwards from an initial height of 1584 feet so that it's distance above the ground after t seconds is modeled by the given function.
h(t)=-16t^2+480t+1584.

what is the maximum height it will reach?​

Answers

Answer:

5184 ft

Step-by-step explanation:

Given

A quadratic function

h(t)= -16t^2+480t+1584.

Its maximum is its vertex

Vertex formula for ax^2 + bx + c is

x = -b/2a

Applying this to our function

t = -480/2(-16) = 15

Maximum height is reached after 15 seconds and is

h(15) = -16*15^2 + 480*15 + 1584 = 5184 ft
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