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2 years ago

A. 2 B. -2 C. 0 D. -2

Mathematics

1 answer:

sweet [91]2 years ago

6 0

Answer:

d. -2 <= y <= infinity

Step-by-step explanation:

The graph starts at -2 with a solid (colored in) point on the -2. So there are no y's less than -2 on the graph.

The graph continues to go up. Yes, it goes to the right, but we are looking at the y's. There is an arrow at the right end of the graph which means it continues to go up forever.

-2 <= y <= infinity

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3 years ago

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Start by writing the system down, I will use $y$ to represent $f(x)$

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Substitute the fact that $y=-3$ into the first equation to get,

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Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

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which then must factor into

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And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

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So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

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