Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
Answer:
(y - 3) = 2(x - 2)
Step-by-step explanation:
Slope = (3 + 5) / (2 + 2)
Slope = 2
Choose a point: (2, 3)
(y - 3) = 2(x - 2)
Answer:
Null hypothesis 
Alternative hypothesis 
Step-by-step explanation:
Consider the provided information.
The shower by an adult is 5 minutes.
The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.
We need to determine the appropriate null and alternative hypotheses.
A null hypothesis is there is no statistical significance between the two variables.
An alternative hypothesis is there is a statistically significant relationship between two variables.
Therefore the required null and alternative hypothesis are:
Null hypothesis
Alternative hypothesis
Answer:
Step-by-step explanation:
Write <u>two functions</u> that <u>describes</u> the <u>decrease of the population</u> after <u>t years.</u>
1. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. Then after t years the number of orngutans will be
2. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. Then after t years the number of orngutans will be
3. Equate right sides of the equations:
Answer: after 3 years
