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shtirl [24]
3 years ago
9

If you vertically stretch the exponential function f(x)= 2^x by a factor of 4 what is the equation of the new function

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

ANSWER

f(x) = 4( {2})^{x}

EXPLANATION

Given the exponential function,

y = f(x)

Then the function

y =a f(x)

is stretched vertically by a factor of 'a' units, for a>0.

Based on this, if a=4 and

f(x) =  {2}^{x}

Then the equation of the new function is

f(x) = 4( {2})^{x}

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Please help me- thank you
san4es73 [151]
Answer:
(2^2)(z^7)

Explanation:
The quotient rule states that if two powers have the same base and are on opposite places of a fraction (one is on the numerator, the other on the denominator), you subtract the exponents.

First looking at the powers with the bases of 2, 2^8 is the numerator and 2^6 is the denominator. When we subtract 8-6 we get 2, so 2^8/2^6 would simplify to 2^2.

Then, we look at the powers with the base of z. z^10 is the numerator and z^3 is the denominator. When we subtract 10-3 we get 7, so z^10/z^3 would simplify to z^7.

I hope this helps! Please comment if you have any questions:)
6 0
3 years ago
Read 2 more answers
The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this f
Ahat [919]
The domain is all the positive values and the range is also all the positive values.

Then the answer is the option D) s>0 and V(s) > 0.
4 0
3 years ago
Read 2 more answers
if a tv has a diagonal measurement of 55 and a height of 30, what is the tvs width? round to the nearest whole number
Sati [7]

Answer:

  46

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

__

<h3>Pythagorean theorem</h3>

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

  c² = a² +b²

Solving for b gives ...

  b = √(c² -a²)

<h3>application</h3>

In this problem, we have c=55 and a=30. Then the width of the TV is ...

  b = √(55² -30²) = √(3025 -900) = √2125

  b ≈ 46.098

The width of the TV is about 46.

7 0
2 years ago
Factor each expression. <br><br><br> 44r+352<br><br> 448-16b+112c
mars1129 [50]
<h3>First expression:</h3>

Factor 44 out of 44r+352.

44(r+8)

<h3>Second expression:</h3>

Factor −16 out of 448−16b+112c.

−16(b−7c−28)

plz mark me as brainliest :)

8 0
3 years ago
Jenna wants to convert a decimal number to its octal form. Which option will she use to calculate the octal number? In the octal
Dovator [93]

Jenna wants to convert a decimal number to its octal form.

The octal numeral system is the base-8 number system, and it uses the digits 0 to 7.

To convert the given decimal number into the octal form, we have to divide the given decimal number by 8 to get its octal form as the base value of the octal number is 8.

Therefore, the complete statement is:

"In the octal number system, you need to divide a number by the base value 8 ".

3 0
4 years ago
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