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horrorfan [7]
1 year ago
7

Consider the functions f(x) = (four-fifths) Superscript x and g(x) = (four-fifths) Superscript x + 6. What are the ranges of the

two functions?
Mathematics
1 answer:
amid [387]1 year ago
6 0

Let the two exponential functions be

$f(x) = (4/5)^x and

$g(x) = (4/5)^{(x + 6)}.

Both of these exist exponential functions with positive bases, we end that the range for both exists: {y| y > 0}.

Therefore, the ranges of the two functions exists {y| y > 0}.

<h3>How to find the ranges of the two functions?</h3>

Let the two exponential functions be

$f(x) = (4/5)^x and

$g(x) = (4/5)^{(x + 6)}.

Both of these exist exponential functions with positive bases, then neither of these can contain negative outcomes, while, as x increases, the outcome will also increase.

Then both the functions exist exponential growths, so the range for both of these exists the set of all real positive values, written in both cases as: {y| y > 0}.

Therefore, the ranges of the two functions exists {y| y > 0}.

To learn more about exponential functions refer to:

brainly.com/question/11464095

#SPJ9

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find the volume of a rectangular prism if the length is 3x^2, the width is 2xand the height is x^2+3x+5
nevsk [136]

You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.

V = l x w x h

V = (3x^2)(2x)( x^2 + 3x +5)

V = 2x (3x^4 + 9x^3 + 15x^2)

V = 6x^5 + 18x^4 + 30x^3

The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.

3 0
3 years ago
How do you do this question?
Colt1911 [192]

Step-by-step explanation:

A Maclaurin series is a Taylor series that's centered at 0.

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ

If we substitute f⁽ⁿ⁾(0) = (n + 1)!:

f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ

f(x) = ∑ₙ₌₀°° (n + 1) xⁿ

Use ratio test to find the radius of convergence.

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1

lim(n→∞)│(n + 2) x / (n + 1)│< 1

│x│< 1

R = 1

4 0
3 years ago
7. If line I is parallel to line m and angle 8 = 109°, what is angle 5?​
scZoUnD [109]
There wouldn’t be any angles on a parallel line

Message me with a picture of what you are talking about
7 0
3 years ago
7:5 is equivelnt to 21: complete the statement to show a equivelent ratio
prisoha [69]
7:5 = 21:15

explanation : to get 21, multiply 7 by 3. since 7 is multiplied by 3, then you multiply 5 by 3 too. and you get 15.
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3 years ago
Rafael races his bicycle for
pychu [463]
Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!
6 0
3 years ago
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