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Sphinxa [80]
2 years ago
11

If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x) (f o g)(x)= (g o f)(x)

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

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Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.
arlik [135]

Answer:

$15400

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Principle amount, P = $14000

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A = 14000\left (1+\frac{10}{100}\right )^{1}

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6 0
3 years ago
What is the difference between correlation and dependencies?
zheka24 [161]

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3 0
3 years ago
- 7 ( x - 2 ) + 1 = 15 - 7x
Savatey [412]

Answer: x=1

Step-by-step explanation:

You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.

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5 0
3 years ago
The original pulse rates are measure with units of​ "beats per​ minute". what are the units of the corresponding z​ scores? choo
posledela
the complete question is

 Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. The original pulse rates are measure with units of "beats per minute". What are the units of the corresponding z scores? Choose the correct choice below.

A. The z scores are measured with units of "beats per minute."

B. The z scores are measured with units of "minutes per beat."

C. The z scores are measured with units of "beats."

D. The z scores are numbers without units of measurement.

we know that

A z-score is the number of standard deviations from the mean a data point is. But more technically it’s a measure of how many standard deviations below or above the population mean a raw score is

The z scores are numbers without units of measurement

therefore

the answer is the option D

8 0
3 years ago
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