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3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Mathematics

1 answer:

pentagon [3]3 years ago

4 0

Answer:

D. $f(x)=4x^{2}+1$

Step-by-step explanation:

There is a translation 1 point up along the y axis and a compression of 4.

Moving a function up (let's use h for the amount of points up) would change the function as so:

$f(x)=x^{2} +h$

Meanwhile, the compression would modify x in this case. You can eliminate any answers (A. and B.) that have no modification to x, and eliminate C., as a fraction modification would actually widen the graph instead of compress it.

Hope this helps! :]

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(3n)/(2-n)=(n)/(n+4) Solve the proportion.

Andreyy89

Answer:

n = 0 or n = -5/2

Step-by-step explanation:

We'd like to solve this equation for n: $\frac{3n}{2-n} =\frac{n}{n+4}$ .

Cross-multiply and distribute:

(2 - n) * n = (n + 4) * 3n

2n - n² = 3n² + 12n

Move everything to one side:

3n² + n² + 12n - 2n = 0

4n² + 10n = 0

Factor our 2n:

2n * (2n + 5) = 0

By the Zero Property of Multiplication, either 2n = 0 or 2n + 5 = 0 to make this equation true:

2n = 0 OR 2n + 5 = 0

n = 0/2 = 0 OR 2n = -5 ⇒ n = -5/2

Thus, n = 0 or n = -5/2.

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3 years ago

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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length o

AVprozaik [17]

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude? C. 3^6. Complete ...

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4 years ago

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One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

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3 years ago

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morpeh [17]

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Reflexive property of equality: 3x-1=

kkurt [141]

3x - 1 = 3x -1 because it's reflecting itself

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3 years ago