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vovikov84 [41]
3 years ago
15

F(x)= (x+2)^2 -1 Find x intercept Find y intercept Find vertex

Mathematics
1 answer:
Trava [24]3 years ago
6 0
The x intercept occurs when y = 0.

0=(x+2)^2 - 1
1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
-1=x

The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).
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Find the indicated conditional probability
andrezito [222]

Given:

The two way table.

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Using this formula, we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}                      ...(i)

From the given two way table, we get

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Now,

P(\text{Drive to school and senior})=\dfrac{25}{100}

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Substituting these values in (i), we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}

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P(\text{Drive to school }|\text{ Senior})\approx 0.71

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3-4 = -1

Hope this helps!

:)


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