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3 years ago

PLEASE HELP! Given the function f(x) = 3x2 − 4, what is f(-2)?

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Answer: Variant C

Step-by-step explanation:

f(x) = 3x^2 − 4

For finding f(-2) just replace x with - 2 like this:

f(-2)=3*((-2))^2-4=3*4-4=12-4=8

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Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.<br>

tino4ka555 [31]

Pythagorean theorem.

a^2+b^2=c^2

This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.

If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?

I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.

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2 years ago

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

$3x^2 + 2ax = 0$

$x(3x + 2a) = 0$

$x = 0$

$3x + 2a = 0$

$3x = -2a$

$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

$-\frac{2a}{3} = 2$

$-2a = 6$

$2a = -6$

$a = -3$

Then:

$f(x) = x^3 - 3x^2 + b$

Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

4 0

1 year ago

Analyze prism shown, thank you.

inn [45]

A.
Faces - 8
Lateral Faces - 6

B.
Vertices - 12

C.
Edges - 18

D.
The base of the prism is a hexagon and the figure as a whole is a hexagonal prism.

6 0

3 years ago

4x + x - 3-9 + 4x = 6 ??

Nookie1986 [14]

Answer:

$x=2$

Step-by-step explanation:

-------------------------

Given:

$4x+x-3-9+4x=6$

---------->>>>

Combine like terms.

$9x-12=6$

---------->>>>

Add 12 to both sides.

$9x=18$

---------->>>>

Divide both sides by 9.

$x=2$

-------------------------

Hope this is helpful.

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2 years ago

Please help asap<br><br> rewrite c + 1/4c as a single term with a fractional coefficient.

My name is Ann [436]

C is same thing as 1c

1c + 1/4c

(In simple words: Adding a whole to 1/4.)
1 + 1/4 = 1 1/4 or 5/4
same thing when having c:
1c + 1/4c = 1 1/4c or 5/4 c

Answer: 1 1/4c or 5/4c

3 0

3 years ago