9514 1404 393
Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
__
You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
u = 2 x + 1, d u = 2 d x, d x = d u / 2
- 9 / ( 2 + 1 )² - ( - 9 / ( 0 + 1 )² =
- 9 / 9 + 9 = - 1 + 9 =
8
Answer:
x³ - 3x² + 5x - 3 / x² - 2
Step-by-step explanation:
Given in the question,
volume of a rectangular prism = x³ - 3x² + 5x - 3
base area of a rectangular prism = x² - 2
Formula for the volume of prism
V = BA x H
here BA is base area
H is height
Formula for the height of prism
H = V / BA
plug values in the formula
x³ - 3x² + 5x - 3 / x² - 2
We will do long division
x - 1
----------------------------
x² - 2 | x³ - 3x² + 5x - 3
x³ - 2x²
---------------------------
-x² + 5x - 3
-x² + 2
----------------------
5x - 5
The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
