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stira [4]
2 years ago
10

Horizontally compress the exponential function f(x)=2^x by a factor of 3

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

The horizontally compress the exponential function f(x)=2^x by a factor of 3 is f(3x)=2^3x

When we compress a function y=f(x) by a scale factor of 'k', where k >1, then the function after compression will become :

y=f(x), where k>1

We have given the Exponential function.

<h3>What is the scale factor?</h3>

The scale factor is a measure for similar figures, that look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

The scale factor of the compression (k): 5

Then after horizontal compression, the exponential function will become

f(3x)=2^3x

To learn more about the exponential function visit:

brainly.com/question/12940982

#SPJ1

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Determine whether the following statement regarding the hypothesistest for two population proportions is true or false.
murzikaleks [220]

Answer:

False

Step-by-step explanation:

Let p1 be the population proportion for the first population

and p2 be the population proportion for the second population

Then

H_{0} p1  = p2

H_{a} p1 ≠ p2

Test statistic can be found usin the equation:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample population proportion for the first population
  • p2 is the sample population proportion for the second population
  • p is the pool proportion of p1 and p2
  • n1 is the sample size of the first population
  • n2 is the sample size of the second population.

As |p1-p2| gets smaller, the value of the <em>test statistic</em> gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

As the<em> p-value</em> gets higher, the null hypothesis is less likely be rejected.

7 0
3 years ago
PUT THESE NUMBERS IN ORDER GREATEST TO LEAST ✔✔ I WILL ADD BRAINLIST
Fiesta28 [93]

Answer:

2 12/16, 2 18/25, and lastly 2.

Step-by-step explanation:

Since 2 is least, we can put that at the end. That leaves us with 2 18/25 and 2 12/16. Since 12/16 is greater, we will put that as the greatest. 2 18/25 is in the middle. Hope this helps!

6 0
3 years ago
Which of the following are solutions to 2x^2-8x-90? select all that apply.
Lyrx [107]
<span>Simplifying:
2x2 + -8x + -90 = 0

Reorder the terms:
-90 + -8x + 2x2 = 0

Solving
-90 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms:
-5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5

Combine like terms:
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Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms:
9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9

Combine like terms:
0 + -9 = -9 -1x = -9

Divide each side by '-1'.
x = 9

Simplifying x = 9

Solution
x = {-5, 9}</span>
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