Answer:
Infinite pairs of numbers
1 and -1
8 and -8
Step-by-step explanation:
Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:
![\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%2B%20%5Csqrt%5B3%5D%7By%5E3%7D%3D0%5C%5C%20%5Csqrt%5B3%5D%7Bx%5E3%7D%3D-%20%5Csqrt%5B3%5D%7By%5E3%7D%5C%5Cx%3D-y)
Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.
Examples: 1 and -1; 8 and -8; 27 and -27.
Answer:
The length is 13
Step-by-step explanation:
w+w+l+l= perimeter
if the length is 3m less than twice the width then let's do some math.
42 divided 2 =21. so the width and length of one side have to equal 21. For example, let's use 8 as the width. The length would be twice(16) minus three(13) 13 plus 8 is 21. WOW it equals half of it so no we know the length is 13 and the wdith is 8.
Answer:
"f(x)
domain: all real numbers, range: all real numbers
f–1(x)
domain: all real numbers, range: all real numbers"
Step-by-step explanation:
We can use the fact that the domain of a function and the range of its inverse are equal.
Also, the range of the function and the domain of its inverse are equal as well.
<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>
As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.
For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.
First answer choice is right.
Answer:
128 ft³
Step-by-step explanation:
Volume of a prism is the area of the base times the height:
V = Ah
In the case of a triangular prism:
V = (1/2 bh) (L)
Given b = 8 ft, h = 4 ft, and L = 8 ft:
V = 1/2 (8 ft) (4 ft) (8 ft)
V = 128 ft³
