Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Answer:
Janet reads 13.865 pages in 4.7 minutes.
Step-by-step explanation:
Given that Janet can read 2.95 pages of a book in a minute.
- unit rate = 2.95 pages/per minute
As she reads for 4.7 minutes.
We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.
i.e.
4.7 × 2.95 = 13.865 pages
Therefore, Janet reads 13.865 pages in 4.7 minutes.
<h3>
Answer: Give the domain and the range of each quadratic function whose graph is described. The vertex is (−1,−2)(−1,−2) and the parabola opens up.</h3>
Answer:
(6, 7)
Step-by-step explanation:
rotating a shape 180 degrees will create the same shape, with similar coordinates. Therefore, drawing a straight line through the origin, would make the coordinates of J (6, 7)
