Answer:
D) {-2, 1, 2, 5}
Step-by-step explanation:
The "output" of a function will never be an ordered pair, so we can immediately eliminate options A and B.
In this case, the output refers to the y-values of the function.
Since the ordered pairs are: (-2, 5), (-1, 1), (2, -2), and (5, 2), we see that the output of this function is: 5, 1, -2, 2.
Thus, choice D is correct.
Let me know if this helps!
Answer: Perimeter = 2(L + W) and
as a simplified expression is, 8x + 2
Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.
However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.
2(L + W) can now be written as
2( {x + 2} + {3x - 1} )
2(x + 2 + 3x - 1)
By collecting like terms, we now have
2(4x + 1)
8x + 2.
The expression can now be simplified as 8x + 2
The answer is E.
First you need to find the rate. You must divide 1.8 by 100
1.8/100 = .018
Then add 1.
.018 + 1 = 1.018
Then times the starting amount with 1.018. The starting amount 750
750(1.018) = <span>763.5.
</span>As you can see, in option E that is the 2nd number.
Now we must find the next number.
You will do 750(1.018)^x
x represents the time.
763.5 was the first month.
750(1.018)^2 is the 2nd month.
750(1.018)^2 = <span>777.244 which is the 3rd number in option E</span>
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

And the new volume would increase about 52%