Question

1 1. Find the x-intercepts for y= 2(x - 7)(x+2)?
Show work here
a. (-7.0) and (2,0)
b. (7.0) and (-2, 0)
c. (14,0) and (-4.0)
d. (14,0) and (-2, 0)
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Answer 1

Answer:

$b.) (7,0) and (-2,0)$

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x:

$0=2(x-7)$

Divide both sides by 2:

$\frac{0}{2}=\frac{2(x-7)}{2}$

$0=x-7$

Add 7 to both sides to isolate x:

$0+7=x-7+7\\7=x$

The x-intercept for $y=2(x-7)$ is 7 at point $(7,0)$.

$0=(x+2)$

Remove parentheses:

$0=x+2$

Subtract 2 from both sides:

$0-2=x+2-2$

$-2=x\\x=-2$

The x-intercept for $y=(x+2)$ is -2 at point $(-2,0)$.

Finito.