I'll do the first one to get you started
So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))
g(x) = ( x - 4 )/2
g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)
g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4
g(f(x)) = (2x+0)/2
g(f(x)) = (2x)/2
g(f(x)) = 1x/1
g(f(x)) = 1x
g(f(x)) = x
Let me know if you need help with the other one.
The answer is: [C]: " 3.200 * 10⁷ h " .
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Explanation:
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19.2 * 10⁸ min * (1 hr / 60 min) ;
= (19.2 * 10⁸)
_______________ ;
60
_____________________________
Divide EACH SIDE of the fraction by "10" ; to get:
___________
(19.2 * 10⁷)
_______________ ;
6
<span>______________________________
</span>⇒ (19.2) ÷ (6) = 3.2 ; so rewrite as:
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3.2 * 10⁷ ; which corresponds with:
Answer choice: [C]: " 3.200 * 10⁷ h " .
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The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
<h3>What is variation?</h3>
Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
Learn more about Variation: brainly.com/question/6499629
SPJ1
Answer: There is an important difference between the way counts are viewed in ratio to that in fractions. The ratio of boys : girls →4:5 so you have 4 boys and 5 girls making the whole count 4+5=9 in its simplest form. ... girls →59 of the whole.
Step-by-step explanation: have a good day!