Answer:
<u>Options 3, 4 and 5</u>
Step-by-step explanation:
Given:
F(x) = x³ + 3x² - 25x - 75
Factor the given function:
F(x) = x³ + 3x² - 25x - 75
⇒ take x² a common from (x³ + 3x²) and (-25) a common from (- 25x - 75)
F(x) = x²(x+3) - 25 (x+3)
⇒ take (x+3) as a common
F(x) = (x+3) (x² - 25)
(x² - 25) = (x-5) (x+5)
∴ F(x) = (x+3) (x-5) (x+5)
<u>The answer are options 3, 4 and 5</u>
The volume of a cone is 1/3 x pi x radius^2 x height, so after substituting the values, we have the equation 1/3 x 3.14 x 3^2 x 10, and we have 3^2 because the radius is half the diameter. First, 3^2 = 9, and 1/3 x 3.14 is approximately 1.046. 1.046 x 9 = 9.414, and lastly, 9.414 x 10 = 94.14. So the approximate volume of the funnel is 94.14.
If AB is twice as large as A'B', the scale factor must be 0.5 to get from AB to A'B':
Answer:
Me!
I have a pet hermit crab, his name is Mr. Lady.
A=L*W
L=W+5
A=(W+5)W
500=W²+5W
W²+5W-500=0
W=(-5+/-√(25+4*500))/2=(-5+/-√2025)/2=(-5+/-45)/2
we are going to take only positive value, so W=(-5+45)/2=20
L=W+5=20+5=25
W=20,
L=25
