restrict the domains of quadratic functions and absolute value functions, because these functions are
functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.
Linear functions (excluding constant functions) and exponential functions are
functions, so their domains
to be restricted.
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An absolute value function, without domain restriction, has an inverse that is NOT a function.
In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
That decimal would be: 32% = 0.32
So, your answer is 0.32
Hope it helped.
The volume of a sphere uses the following formula:
Because the question asks to use 3.14 in place of pi, the formula will now look like this:
We are given a diameter of 118 feet. The radius is half of the diameter, so divide the diameter by 2 to find the radius:
Plug this value into the formula, and solve with a calculator:
Although our result is one cubic foot off, the answer is
<span>
A. 859,852ft^3.
(859,852 is the result if the constant in the given formula is 4.18666, but the result with infinitely repeating numbers is 859,853.)</span>
15. 11y
16. 8xy
17. -24a
18. -7cd
Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation:
