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son4ous [18]
3 years ago
11

If f(x) = 4x + 8 and g(x) = (x+4, what is (fºg)(12)?

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

72

Step-by-step explanation:

f(x) = 4x+8\\g(x) = x + 4\\\\1. f(g(x)) = 4(x+4) + 8\\2. f(g(x)) = 4x + 16 + 8\\3. f(g(x))=4x + 24\\\\4. f(g(12)) = 4(12) + 24\\5. f(g(12)) = 48 + 24 = 72\\

To do these, you have to place the entire function inside the parent function's variables.

You are inputting the value of the function g(x) into f(x)

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How many solutions does this linear have y= 5x-1 -15x-3y=3?
musickatia [10]
-15x - 3y = 3

-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
-30x - 3 = 3 [combine like terms]
-30x = 6 [add 3 to eliminate the negative]
x = \frac{6}{-30} [divide by -30 to get x alone]
x = \frac{1}{-5} [reduce the fraction]

Hopefully this is helpful enough to get you to your answer
4 0
3 years ago
A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
What is another way to write 0.7?
SVEN [57.7K]
7/10. Because 0.7 equals 70% . As a fraction it would be 70/100. Simplify, and you get 7/10. 
8 0
4 years ago
Mar in was a bat and hit 7 out 8 balls. How can you find his batting precentage
777dan777 [17]
Divide 7 by 8 then multiply what you get by 100.
7 0
3 years ago
Read 2 more answers
Is 1.8 repeating rational or irrational number
Yuliya22 [10]

Answer:

Irrational number

Step-by-step explanation:

The number 1.8 isn't repeating so it wouldn't be a repeating rational number.

8 0
3 years ago
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