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USPshnik [31]
3 years ago
8

A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with th

e fencing depends on the width of the rectangle.
Width (w)ft Area (A) ft2
10 900
20 1,600
30 2,100

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet?

A. A(w)= -w to the power of 2+200w
B. A(w)= -w to the power of 2+100w
C. A(w)= w to the power of 2+40w
D. A(w)= w to the power of 2+90w
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0
Checking for each option

Option A: A(w) = -w^2+200w

Substitute w = 10 and check if we'd get 900 as the answer
A(10) = -(10)^2+200(10) = -100+2000 = 1900

Option B: A(w) = -w^2+100w
Substitute w = 10 and check if we'd get 900 as the answer
A(10)=-(10)^2+100(10)=-100+1000=900

Option C: A(w)=w^2+40w
Substitute  w = 10 and check if we'd get 900 as the answer
A(10) = 10^2+40(10)=100+400=500

Option D: A(w) = w^2+90w
Substitue w = 10 and check if we'd get 900 as the answer
A(10)=10^2+90(10) = 100+900=1000

Answer: Option B



Setler [38]3 years ago
7 0
10, 900
and then the second one
B
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Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

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ALGEBRA 1:
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