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3 years ago

How many times does the graph of the quadratic function f(x) = x² - 9 intercept the x-axis?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

2 times because x = both 3 and -3

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1 year ago

Joel can read around 16 sentences per minute of his current novel. He wants to finish his reading before the movie comes out nex

Ainat [17]

Answer:

2.7 hours or 2 hrs, 42 min

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2,600 sentences

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2 years ago

The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar

marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

$R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2$

Substituting this in the section formula

$R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)$

To simplifying the expression, we get

$\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)$

$\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)$

⇒ R(x,y) = R(–3,4)

Hence, the coordinates of point R is (–3, 4).

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3 years ago