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3 years ago

A community center is expanding the size

Mathematics

1 answer:

Katen [24]3 years ago

6 0

So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).

The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2

But the proper way to write it is 9y^2+1350y+45000

When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144

So the new area would be 99144 ft^2

Hope this helped!

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Find the inverse of the following function. A. B. C. D.

mr Goodwill [35]

Answer:

i think the answer is C

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

2. CO DEEPER) Franco played computer chess for 3 hours. Lian played

Galina-37 [17]

Answer: Franco played for 30 minutes longer than Lain.

Step-by-step explanation:

3 times 60= 180

180-150=30 minutes

4 0

3 years ago

A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from

sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0

2 years ago

Which ordered pairs are solutions to the inequality y - 3x < -8?

7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality $y - 3x < -8$

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality $y - 3x < -8$

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

$-5-3(1)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

$-2-3(-3) < -8\\-2-9$

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

$-9-3(0)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

$-1-3(2)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)

$4-3(5)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality $y - 3x < -8$

6 0

2 years ago

Find the equation for the line that passes through (4, - 8) that has slope - 2. Give your answer in

NNADVOKAT [17]

Answer:

y+8=-2(x-4)

Step-by-step explanation:

point-slope form is y-y1=m(x-x1) where m is the slope, and (x1,y1) is a point.

We are given all of that information:

slope: -2

point: (4,-8)

substitute the numbers into the equation

y--8=-2(x-4)

we can make --8 to positive 8

so:

y+8=-2(x-4)

this is the equation in point-slope form

Hope this helps!

4 0

2 years ago