For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:
L = √100 * x = 10x
W = 1/2*y - 3/2*x
Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.
125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
<em>y = 25/x + 3x</em>
Answer: b) (x - 2)(x + 1)(x + 3)
<u>Step-by-step explanation:</u>
Look at the graph to find the x-intercepts (where the graph crosses the x-axis).
x = 2 x = -1 and x = -3
Now rearrange each of those equation so they are equal to zero:
x - 2 = 0 x + 1 = 0 and x + 3 = 0
Next, combine them (using multiplication):
(x - 2) (x + 1) (x + 3) = 0
Lastly, evaluate the sign of the a-value (coefficient of the polynomial):
Since the right side of the graph goes to POSITIVE infinity, then the a-value is positive.
This is what I got!
Hopefully This Helped You!
:)
