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vladimir2022 [97]
4 years ago
5

Which is an exponential decay function f (x)=3/4 (7/4)x f (x)=2/3 (4/5)-x. F (x)=3/2 (8/7)-x f (x)=1/3 (9/2)x

Mathematics
2 answers:
dsp734 years ago
7 0
The given functions are
1.\, f(x)= \frac{3}{4}( \frac{7}{4})^{x} \\ \\2.\,f(x)= \frac{2}{3}( \frac{4}{5} ) ^{-x}\\\\3.\, f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}\\\\4.\,f(x)= \frac{1}{3} ( \frac{9}{2} )^{x}

Evaluate the functions. 
1. Because 7/4 > 1 and the exponent is positive,
   the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
    the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
    the function decays.
4. Because 9/2 > 1 and the exponent is positive,
    the function does not decay.

A composite plot the functions verifies the answer.

Answer: f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}

geniusboy [140]4 years ago
5 0

Answer:

In other words the answer is..............

Step-by-step explanation:

..............(C)! Ur welcome for the lazy people

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lord [1]

Answer: 3 13/24

Step-by-step explanation:

<u>Turn 7 1/6 into an Improper Fraction:</u>

43/6 - 3 5/8

<u>Turn 3 5/8 into an Improper Fraction:</u>

43/6 - 29/8

<u>Subtract:</u>

43/6 - 29/8= 85/24

<u>Turn 85/24 into a Mixed Number (Final Step):</u>

85/24 = 3 13/24

<u>Answer:</u>

3 13/24

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3 years ago
If $-2 &lt; x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

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3 years ago
Toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?
allochka39001 [22]

Answer:

22 cakes

Step-by-step explanation:

5 1/2kg = 11/2 = 22/4

22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes

4 0
3 years ago
Read 2 more answers
Find the value of x. Round to the<br> nearest tenth.<br> X<br> 37<br> 6<br> X=<br> Enter
Schach [20]

<u>Answer:</u>

<h2>x ≈ 4.5</h2>

<u>Steps:</u>

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

4 0
3 years ago
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