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3 years ago

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer

Mathematics

1 answer:

Serhud [2]3 years ago

8 0

Answer:

Step-by-step explanation:

This questions asks use to find what f(x) or y is, when x is equal to -2.

So, substitute -2 in for x in the equation.

f(x)=2(4)^x

f(-2)=2(4)^-2

Evaluate the exponent. Negative exponents follow this rule:

b^-x= 1/b^x

We have 4^-2. This will become 1/4^2 or 1/16

f(-2)=2(1/16)

Multiply

f(-2)=2/16

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

f(-2)=2/2 / 16/2

f(-2)= 1/8

The correct choice is D. 1/8

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Please help asap 50 pts

grigory [225]

|-1/5| < |-1/3| < |-7|

Your answer:

B. y = -1/5 x^2; y = -1/3 x^2; y = -7x^2

Look at the picture.

5 0

3 years ago

Question 6: please help me out here :(((

Murljashka [212]

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

7 0

3 years ago

Find the volume of the cylinder.

KiRa [710]

Answer:

12π ≈ 37.7 cubic centimeters

Step-by-step explanation:

The volume of the cylinder can be found using the appropriate formula.

<h3>dimensions</h3>

The cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:

r = d/2

r = (4 cm)/2 = 2 cm

<h3>formula for volume</h3>

The formula for the volume of a cylinder is ...

V = πr²h . . . . . . where r is the radius and h is the height

Using the dimensions given, we find the volume to be ...

V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³

Written as a decimal, the volume is about ...

12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder

_____

<em>Additional comment</em>

You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:

x · x = x²

cm · cm = cm²

Computing the volume in more steps, we have ...

V = π(2 cm)²(3 cm)

= π(2 cm)(2 cm)(3 cm) . . . . expanding the square term

= π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product

= π(12)(cm³)

= 12π cm³

7 0

2 years ago

Read 2 more answers

2x+y=8;y i have no idea what theyre asking. Its solve each equation for the indicated variable

xxTIMURxx [149]

If solving for y:

→ 2x + y = 8
→ Take away 2x from both sides
→ y = 8 - 2x

If solving for x:

→ 2x + y = 8
→ Take away y from both sides
→ 2x = 8 - y
→ Divide both sides by 2
→ x = $\frac{8-y}{2}$

8 0

3 years ago

Match the following. 1. the domain set of C = {( 2, 5), (2, 6), (2, 7)} {3, 4, 5, 6} 2. the range set of E = {(3, 3), (4, 4), (5

Artyom0805 [142]

1. The domain set of C = {(2,5),(2,6),(2,7)} is the set of all first elements of the ordered pairs.

Therefore, domain set of C = {2}

2. The range set of E ={(3, 3),(4, 4),(5, 5),(6, 6)} is the set of all second elements of the ordered pairs.

Therefore, range set of E = {3,4,5,6}

3. We need to find the range and domain of F = {(x, y) | x + y = 10}.

Clearly, the domain is the set of all real numbers.

Also, if x is a real number, then 10 - x is also a real number.

We have, x + y = 10

y = 10 - x

So, y is also a real number.

Therefore, range and domain of F = {all real numbers}

4. We need to find the range and domain of P = {(x, y) | y = 3}.

Clearly, the domain is the set of all real numbers.

Since, the y = 3 (the second element of the ordered pair), the range is the singleton set {2}.

Hence, domain = {all real numbers} and range = {y : y = 3}

4 0

4 years ago

Read 2 more answers

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer ​

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer