The solution would be (5, 6)
Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
Answer:
y=-2x+3
Step-by-step explanation:
y+2x=3
y=3-2x
y=-2x+3
y=mx+b
where m=-2 and b=3.
So the slope for this function is -2 and the y-intercept is 3. You can easily graph this function.
Answer:
B
Step-by-step explanation:
The volume of a rectangular prism is the length times width times height.
V = LWH
V = (4√3)(3√6)W
V = 12√18 W
V = 36√2 W
If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume. For example, √18 × √2 = √36 = 6.
Therefore, the answer must be B, because 12 is not half of a perfect square.
V = 36√2 (4√12)
V = 144√24
V = 288√6
Answer: 9000
Step-by-step explanation:
