ANSWER
EXPLANATION
The given function is:
and
To find g(f(-1)), we substitute x=-1, to obtain;
We simplify the square in the denominator to get,
We now add the denominator to obtain;
Answer:
x=-25/4
Step-by-step explanation:
First your make both sides clean,
x+4=-9/4
Then you minus 4 on both sides to balance the equation:
x+4-4=(-9/4)-4
x= -25/4
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Assume the smaller one is x, then the other ones will be x+2 and x+4
x(x+2) + 2 = 5(x+4)
x^2 + 2x - 5x - 18 = 0
-> x^2 - 3x - 18 = 0
-> (x-6)(x+3) = 0
-> x = 6 or -3, since x must be positive, then x = 6
So the numbers are: 6, 8, 10
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20
Variable
h and s
Constant
40
PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5
PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
