281.2 units³
volume of Prism: Base Area x Height
Here given:
Base Area: 38 units²
Height: 7.4 units
Solve for volume:
38 x 7.4
281.2 units³
- - Let's solve for C.
Starting off with our equation:

Transform:

Solve for that:

Solve for that for the last time and your answer is
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
6/5 units³
Step-by-step explanation:
The volume of the prism is given by the formula
V = Bh
where B is the area of the "base" and h is the height perpendicular to that base. Filling in the given numbers, you have ...
V = (9/5)·(2/3) = 18/15 = 6/5 . . . . units³
Answer: The graph crosses the x-axis at x = 2.
Step-by-step explanation:
The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.