THE ANSWER IS D 8 BECAUSE I DID THE MATH
Answer:
The correct options are;
Answer to A1 is D
Answer to A2 is D
Answer to A3 is D
Answer to A4 is D
Answer to A5 is D
Answer to A6 is D
Answer to A7 is D
Answer to A8 is D
Answer to A9 is D
Answer to B1 is I
Answer to B2 is I
Answer to B3 is I
Answer to B4 is I
Answer to B5 is I
Answer to B6 is I
Step-by-step explanation:
The given function is f(x) = 9·x² + 54·x - 66
The extremum of the function are found as follows;
d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54
∴ 18·x + 54 = 0 at the maximum or minimum points
x = -54/18 = -3
Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point
Given that the function is a quadratic function, we have;
1) Points to the left of x = -3 are decreasing
2) Points to the right of x = -3 are increasing.
Answer:
Option C) 4 cubic inches is the volume of the rectangular prism.
Step-by-step explanation:
It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.
Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.
So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.
The formula for finding the volume of a cube is given by,
Volume of a cube = a³
where a represents the edge length
We know that, the edge length is 1/3 inch.
⇒ a = 1/3
Volume of a cube = (1/3)³
⇒ 1/3 × 1/3 × 1/3
⇒ 1/27 cubic inches
To find the volume of 108 cubes :
⇒ 108 × volume of one cube
⇒ 108 × 1/27
⇒ 4 cubic inches.
∴ The volume of 108 cubes is the volume of rectangular prism which is 4 cubic inches (option C)
The answer is 7/10. Because it's 7 out of 10.
Answer:
Y= -1 and Y = -5
Step-by-step explanation:
To find the Value of Y need to find where the Line(s) Cross they Vertical Axis.
