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timurjin [86]
3 years ago
13

Find the zeros of f(x) = (x -3)^2 - 49

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0
We have the function f(x)=(x-3)^2-49.
This equals...
0 = (x-3)^2 - 49
Add 49.
49 = (x-3)^2
Square both sides.
<span>±7 = x-3
</span><span>± 10 = x</span>
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In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
It’s not a question on here but I think you solve for x
Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

3 0
3 years ago
(x-8)(x+3)/(x+9)(x-1) simplified?
garri49 [273]

\frac{(x - 8)(x + 3)}{( x + 9)(x - 1)} =
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\frac{x {}^{2} - 5x + 24 }{x {}^{2} + 8x - 9 }
6 0
3 years ago
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