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3 years ago

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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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Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of elimination

Radda [10]

Step-by-step explanation:

first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below

as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out

so , multiply 3 with the whole of equation 1

3( 2x + y = -4 )

= 6x + 3y = -12

( keep in mind the sign of the number)

5x -3 y = 1

now ,

we have

6x + 3y = -12

5x -3y = 1

as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )

so , once you add the like terms this is what you will get

6x + 5x +3y-3y -12+1

= 11x + 0 - 11

then you can simplify this further for x first

11x = 11

x = 11/11

x = 1

now we have the value of x let's simply further for y

let's take equation 2

5(1) - 3y =1

5 -3y = 1

5-1 = 3y

4 = 3y

4/3 = y 

to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .

5x-3y = 1

( now let's place the values of x and y into the equation and see if our answer is 1 )

5 (1) - 3 (4/3)

= 5 - 4

= 1

it is correct

7 0

3 years ago

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.

avanturin [10]

Add 4x over to 14x, 3=5x2- 18x then add 18x to the other side 3+ 18x= 5x2then divided each side by 5,( 3+18x/5=x2) then square root each side the answer to x would be the square root of 3+18x/5

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3 years ago

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faltersainse [42]

Step-by-step explanation:

1 .f(x)= $x^{2}$ -x+1

f(-1)= (-1)-(-1)+1

f(-1)= 1+1+1

= 3

3.f(x)= $x^{2}$ -x+1

f( 1)=(1)-1+1

f( 1)=1-1+1

5. f(x)= $x^{2}$ -x+1

f(3)= $(3)^{2}$ -3+1

= 9-3+1

2. g(x) = 5 - 3x

g( -8)=5-3(-8)

g( -8)=5+24

=29

4.g(x) = 5 - 3x

g(5)=5-3(5)

g(5)=5-15

=-10

6.g(x) = 5 - 3x

g(-3)=5-3(-3)

g(-3)=5+9

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3 years ago

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coldgirl [10]

I think it would be 5/8

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Hey guys stuck on three questions, can you help out a bit? Thanks!

alexandr1967 [171]

Answer:

Step-by-step explanation:

Because the numbers do not comply with the like 11+6+18+21= no answer and multiplying them all didn't matter either so its none of the above

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3 years ago