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3 years ago

Based on the graph, between which two values of x is a zero of g located?

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

Between 4 and 5

Step-by-step explanation:

Given

See attachment for graph

Required

Between which points is g(x) = 0

From the attachment, we can see that the graph crosses the x-axis at 4... and -1...

This means that

g(x) = 0 between 4 and 5

g(x) = 0 between -1 and -2

Going by the available options,

g(x) = 0 between 4 and 5

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3(x-2)+2(x+1)=-14<br> plz show work

Rom4ik [11]

Hello!

First, let's write the problem.
$3\left(x-2\right)+2\left(x+1\right)=-14$
Apply the distributive property on the left side of the equation.
$=3x-6+2x+2$
Add like terms.
$=5x-4$
Let's plug that in into the original equation.
$5x-4=-14$
Add 4 to both sides.
$5x-4+4=-14+4$
$5x=-10$
Divide both sides by 5.
$\frac{5x}{5}=\frac{-10}{5}$

Our final answer would be,
$x=-2$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

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