Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
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The rules of logarithms that apply are ...
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<h3>take antilogs</h3>
We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
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<h3>solve the quadratic</h3>
Adding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
Part 1:
Step 1:
Find the value of G(16)
Using the equation for g(x) =√x, replace x with 16 and solve:
g(16) = √16 = 4
Step 2:
Now using the answer for g(16) replace x in the equation fir f(x) with 4 and solve:
f(x) = x +2
f(4) = 4+2 = 6
Part 2:
following the same steps as part 1:
f(g(x)) would be replacing x in the equation ofr f(x)with the equation for g(x)
f(g(x)) = √x +2
113.25 because the middle ground of 1 - 150 students is 75 and then 1+150=151 2+149+151 but instead of doing that again and again just multiply the lowest number and the highest number by the middle ground
Answer:
40% = 72
divide both sides by 40 to find 1%
1% = 1.8
now multiply by 100 to find total amount earned
100% = 180
total earned $180
Answer:
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Step-by-step explanation:
