The domain of the function is the range of values of x that can be used to be replaced in the equation for it to become true. We are given that the value of f(x) should range only from -1 to 3. We evaluate each of the choices and see if the values of f(x) will fall within the range.
(a) -12; f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
(b) -10; f(x) = 2^(-10) - 10 = -9.999 (NOT AN ANSWER)
(c) -9; f(x) = 2^(-9) - 10 = -9.999 (NOT AN ANSWER)
(d) -6; f(x) = 2^(-6) - 10 = -9.98 (NOT AN ANSWER)
(e) -2; f(x) = 2^(-2) - 10 = -9.75 (NOT AN ANSWER)
Hence, none of the choices will allow the value of f(x) to fall between -1 and 3.
Answer:
20 goes into 110 five-and-a-half times
Step-by-step explanation:
Let's show our work:
20 + 20 + 20 + 20 + 20 + 10
\____\_____\____/_____/_____/
100
100
= 20 + 20 + 20 + 20 + 20 + 10
Half of 20 = 10
The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."
How many 20's are there? Let's count!
20 + 20 + 20 + 20 + 20
1 2 3 4 5
So five 20's + one 0.5 = ?
That equals 5.5, because 5 + 0.5 = 5.5
Your answer is 5.5!
I hope this helps!
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