Answer:
Step-by-step explanation:
One of the rules of logarithms is ...
log(a^b) = b·log(a)
So ...
Answer:
7 millimeters
Step-by-step explanation:
Volume is the area of the base times it's length.
140/10 is 14
so the area of the triangle is 14
the formula for area of a triangle is base times height divided by 2
so
d x 4/ 2 = 14
multiply both sides by 2
d x 4 = 28
divide both sides by 4
d=7
Answer:
3. Since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.
Step-by-step explanation:
The domain of a function is the range of its inverse, and vice versa. The only answer choice that expresses this relationship is choice 3.
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Comment on the answer choice:
The slope of the function is undefined at x=4, so restricting the function domain to the portion with positive slope means the domain restriction of the function is x > 4. That also means the range restriction of the function is y > 6. The domain restriction of the inverse function is the same: x > 6, not x ≥ 6. The answer choice has an error.
Answer:
see explanation
Step-by-step explanation:
a
f(0) means find the value of y when x = 0
That is f(0) = 1 ← the point (0, 1) on the graph
b
When f(x) = - 3 means what are the values of x corresponding to y = - 3
From the graph when y = - 3 there are 2 corresponding values of x, that is
x = - 2 or x = + 2
The solution to f(x) = - 3 is x = ± 2
