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3 years ago

Given F(x) =3x^2 - 4 and F(a) = 8 find a

1 answer:

5 0

$F(x)=3x^2-4\\\\F(a)=8\to3a^2-4=8\qquad\text{add 4 to both sides}\\\\3a^2=12\qquad\text{divide both sides by 3}\\\\a^2=4\to a=\pm\sqrt4\to a=\pm2\\\\Answer:\ \boxed{A.\ \pm2}$

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Find its area. w(-2,0). x(-3,3). y(2,0),z(1,3)

k0ka [10]

The distance between -2 and 2 is 4. the distance between -3 and 1 is 4 so 4x4= 16

8 0

4 years ago

Identify which of the following statement(s) is always true?

julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

Statement 1: For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

$\sqrt{n}=\sqrt{25}=5$

Since 5 is rational number, this statement is false.

Statement 2: If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

$\sqrt{n}=\sqrt{8}=2\sqrt{2}$

Since $2\sqrt{2}$ is irrational number, this statement is false.

Statement 3: If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

8 0

3 years ago

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch

Anettt [7]

Answer:

Step-by-step explanation:

Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:

C(l) = 2l + 2.5 = $11, or

2l = 8.5, or l = length = 4.25 inches

6 0

3 years ago

Read 2 more answers

BRAINLIEST!!!!!

joja [24]

I think it’s always have a blessed day

5 0

3 years ago

Read 2 more answers

How is the pattern for a perfect square trinomial used to factor the trinomial?

anastassius [24]

Answer:

Step-by-step explanation:

We're going to try two things here.

First an example

x^2 + 10x + 25

If you divide the linear factor by 2 and square the result, you get the last number (25)

The pattern of a trinomial is

x^2 + 2b x + b^2

The factors are

(x + b)(x+ b)

Just divide the linear term by 2

7 0

3 years ago