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3 years ago

When f(x)=5x^2-2x+5, evaluate f(-3)

Mathematics

1 answer:

patriot [66]3 years ago

8 0

Answer:

f(-3)=56

Step-by-step explanation:

When evaluating a specific input for a function, you just plug that input in for x.

So in this case, f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(9)+6+5

f(-3)=45+6+5

f(-3)=56

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3 years ago

The square of X varies inversely as the square root of Y and directly as the variable M. When M = 27 and Y = 16, then X = 9. Fin

irakobra [83]

Answer:

$Y = 441$

Step-by-step explanation:

Given

M = 27 when Y = 16 and X = 9

Required

Find Y when M = 7 and X = 2

We start by getting the algebraic representation of the given statement

$X^2 \alpha \frac{1}{\sqrt Y} \alpha M$

Convert the variation to an equation; we have

$X^2 = \frac{KM}{\sqrt Y}$

Where K is the constant of variation;

When M = 27; Y = 16; X = 9, the expression becomes

$9^2 = \frac{K * 27}{\sqrt{16}}$

This gives

$81 = \frac{k * 27}{4}$

Make K the subject of formula

$K = \frac{81* 4}{27}$

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Solving for Y when M = 7 and X = 2

Recall that $X^2 = \frac{KM}{\sqrt Y}$

Substitute values for K, M and X

$2^2 = \frac{12 * 7}{\sqrt{Y}}$

$4 = \frac{84}{\sqrt{Y}}$

Take square of both sides

$4^2 = (\frac{84}{\sqrt{Y}})^2$

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Make Y the subject of formula

$Y = \frac{7056}{16}$

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3 0

3 years ago

Please help, 8 points and brainliest answer

Darya [45]

3
Just count the square, in the little is 1 and in the big is 3
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4 years ago

4 in. 5 in. 6 in. I

Colt1911 [192]

What is the exact question? It seems like you are asking for the Pythagorean theorem. Ok, I’ll try to help if that’s the case.

a^2 + b^2 = c^2
4^2 + 5^2 = c^2
16 + 25 = c^2
41 =c^2
6.403124237432849 = c

So now since we have the answer, we need to figure out if this result and 6 are equal.

6^2 = 36

25 + 16 = 41

41 and 36 are not equivalent so if the case is that u want me to find the Pythagorean theorem, then the answer is that they aren’t equal. And the real answer is that c equals 6.403124237432849. Which means that 4in, 5in, 6in is not the correct order. And that 16in, 25, 41 is the correct order.

I hope this helped!

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3 years ago