Answer:
-4
Step-by-step explanation:
Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4
The rate of change is the rate at which a variable changes over a specific period of time.
Averate rate of change:
First, we need to find the functions for when x = 0 and when x = 4:
For x = 0
f(x) = x² - 8x + 15
f(0) = 0² - 8(0) + 15
f(0) = 0 - 0 + 15
f(0) = 15
For x = 4
f(x) = x² - 8x + 15
f(4) = (4)² - 8(4) + 15
f(4) = 16 - 32 + 15
f(4) = -16 + 15
f(4) = -1
Averate rate of change:
A =
A =
A =
A =
Therefore, the rate of change from x = 0 to x = 4 is -4.
Hope this helps!
Answer:
21.4% of 855=182.97
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 855 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 855 is 100%, so we can write it down as 855=100%.
4. We know, that x is 21.4% of the output value, so we can write it down as x=21.4%.
5. Now we have two simple equations:
1) 855=100%
2) x=21.4%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
855/x=100%/21.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 21.4% of 855
855/x=100/21.4
(855/x)*x=(100/21.4)*x - we multiply both sides of the equation by x
855=4.67289719626*x - we divide both sides of the equation by (4.67289719626) to get x
855/4.67289719626=x
182.97=x
x=182.97
now we have:
21.4% of 855=182.97
Hope this helped :)
#BrainlyAnswers
Answer:
there is no solution
Step-by-step explanation:
There are no values of x that make the inequality true.
Answer:
The mean score is 7.31. This means that each time the student takes this test, he is expected to get a score of 7.31.
Step-by-step explanation:
We have these following probabilities:
A 0.07 = 7% probability that the student scores 5 points.
A 0.17 = 17% probability that the student scores 6 points.
A 0.38 = 38% probability that the student scores 7 points.
A 0.21 = 21% probability that the student scores 8 points.
A 0.1 = 10% probability that the student scores 9 points.
A 0.07 = 7% probability that the student scores 10 points.
Mean score
We multiply each score by it's probability. So
The mean score is 7.31. This means that each time the student takes this test, he is expected to get a score of 7.31.
Answer:
m∠XMN = 80°
Step-by-step explanation:
you know that:
4x + 5 + 6x - 10 = 145
solve for x:
10x - 5 = 145
10x = 150
x = 15
Use this information to solve for m∠XMN
6(15) - 10
90 - 10
80
m∠XMN = 80°