2x^2 + 10x = 0
we can take out x from both terms and we get:
x(2x + 10) = 0
now either x has to be equal to 0 or 2x + 10 has to be equal to zero in order for equation to be equal to 0.
one solution is x=0 as stated above
other is:
2x + 10 = 0
2x = -10
x = -10/2 = -5
Answers are x=0 and x = -5.
Table of the graph:
x: <em>
</em>
1 2 3
y: 5 25 125
Average Rate of Change =

Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100
So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.
Answer:
Step-by-step explanation:
Given is a Differential equation as

To bring it to linear form we can divide the full equation by x

This is of the form
y'+p(x) *y = q(x)
p(x) = 1/x
So find

Solution is

Use the initial value as y(e) =1

So solution is

Answer:
The p value would be given by:
For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG
Step-by-step explanation:
Information given
represent the mean
represent the population standard deviation
sample size
represent the value to verify
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean for this case is 46.7, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation the statistic is given by:
(1)
Replacing we got:
The p value would be given by:
For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG
Answer:
24 square units
Step-by-step explanation:
6×4=24