Answer:
See below for answers (in bold) and explanations
Step-by-step explanation:
Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1
Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20
Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3
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Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
Have A Nice Day ❤
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Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
Answer:
6
Step-by-step explanation:
First- replace the variables
<u>-6² -3</u>
6 + 3
Second- eliminate
<u>-6²</u>
6
Third- exponents (remember, 2 negatives = a positive)
<u>36</u>
6
Lastly- divide
6
