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FrozenT [24]
2 years ago
11

f(x) = 20(1.5)x. Let your dependent variable in the function be y. Write the function that models the independent variable in te

rms of y, using logarithms.
Mathematics
1 answer:
mars1129 [50]2 years ago
6 0

Answer:

x=log_{1.5}(\frac{y}{20})

Step-by-step explanation:

Considering the function:

f(x) = 20\, (1.5)^x

The independent variable is "x" and we are asked to model it in terms of the variable "y":

f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x

Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.

Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":

y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})

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Answer:

0.1225

Step-by-step explanation:

0.0098 divied by 0.08= 0.1225

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Alika [10]

Answer:

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Step-by-step explanation:

V(t) = 27,500(0.90)^t

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4 0
3 years ago
— 7x — бу = — 15 Determine the intercepts of the line.
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Answer:

see below

Step-by-step explanation:

— 7x — бу = — 15

To find the x intercept set y = 0 and solve for x

-7x - 0 = -15

-7x= -15

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-7x/-7 = -15/-7

x = 15/7

The x intercept is (15/7,0)

To find the y intercept set x = 0 and solve for y

o— бу = — 15

— бу= -15

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3 years ago
The least common denominator of 1/3, 5/8, and 1/2 is:
andrey2020 [161]

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

8 0
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