Answers
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 3 ] , then
f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2
f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus
average rate of change = [tex]\frac{-2-12}{3-(-4)}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2
Related Questions
The rectangle is 94 m long and 58 m wide find the area use the
Answers
Answer:
Area = 5452Step-by-step explanation:
Area = l times w
94 x 58 = 5452
Helppp ASAP plzz!!! Hurry
Answers
Answer:
Corresponding Angles
Step-by-step explanation:
They are the same
Answer:
Corresponding angles.
Step-by-step explanation:
Love your Christmas tree BTW!
Hi can someone plz help me thank you
Answers
Can someone help me on this Proofs problems? It's just number one and two.
Answers
See Explanation
Step-by-step explanation:
1. By interior angle sum Postulate of a triangle.
[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\
m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\
m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]
Hence proved
2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.
Therefore, by remote interior angle theorem, we have:
[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\
x + m\angle PQS= 2x\\\\
m\angle PQS= 2x-x\\\\
m\angle PQS = x.... (1)\\\\
m\angle QPS = x.... (given).... (2)\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle PQS = m\angle QPS\\\\
\therefore \angle PQS \cong \angle QPS\\\\
\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]
[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.
Thus proved.
30 POINTS!! WHOEVER ANSWERS FIRST GETS BRAINLIEST! Jim wanted to find out what the audience thought about the debate. After the event,
Jim stood at the exit to survey every fifth guest.
Was this a random or a biased sample and why?
O A.
This was a biased sample. Jim should interview all in attendance.
OB.
This was a census. Any guest may have participated.
OC.
This was a random sample. It may not have included anyone in attendance.
O D.
This was a random sample. It may have included anyone in attendance.
Answers
Answer:
c
Step-by-step explanation:
i know its c
Answer:
Bru you did not give 30 points smh but its c
Step-by-step explanation:
Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?
Answers
Answer:
Have an amazing night/day!
Step-by-step explanation:
14 i think ill edit if im wrong
Given f(x)=2x-10. Evaluate f =24
Answers
Answer:
The answer is 17.
Step-by-step explanation:
Plug 24 in at the end where "f" isAdd 10 to both sides.Divide Both sides by 2Get answer of 17Pleaseeee help im confused best answer will get brainliest.
Answers
Answer:
17y-9x
Step-by-step explanation:
12y-6x+5y-3x
12y+5y-6x-3x
17y-9x
Cherries are on sale for $16 for 4 pounds. Jordyn pays $27.20 for cherries to make a pie. How many pounds of cherries does she buy?
Answers
Explanation :
4 pounds of cherries for $16 = 4 pounds per dollar
x pounds of cherries for $27.20
$27.20/4 = 6.8 pounds of cherries.
square root -100= ___+___i
Answers
Answer is 10i
Step-by-step explanation:
Mark has a collection of $20 bills and $5 bills. He has a total of 6 bills totaling $75.00. How many of each type of bill does he have?
You have to write and solve the system using elimination or substitution, please help
Answers
Answer:
He has 3 $20 and 3 $5
Step-by-step explanation:
20 x 3 = $60
5 x 3 = $15
15 + 60 = $75
What is the greatest common factor (GCF) of 36 and 54?
A.
27
B.
18
C.
9
Answers
Answer:
The answer is (B. 18) and I believe this is correct because 2×18=36 & 3×18=54
(I really do hope I made it understandable and hope it helps)
T=4U/E SOLVE FOR U please please please help please thank you
Answers
Step by step
You multiply both sides by E to get rid of it then you have TE =4U and then u divide it by 4 and get TE/4 =U
Part A
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.
What is the slope of the line?
Slope =
Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?
a. Connor is correct because the rate of water flowing is equal to the slope. Water is flowing in at a rate which is about 2 gallons per minute.
b. Connor is not correct because the rate of water flowing is greater than the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
d. Connor is correct because the rate of water flowing is less than the slope. Water is flowing in at a rate which is faster than 2 gallons per minute.
Answers
Answer:
Part A: ½
Part B: c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
Step-by-step explanation:
Part A:
Slope of the proportional graph = y/x
Using the point on the line, (4, 2),
Slope = 2/4 = ½.
Part B:
Since the slope of the graph bus ½, it shows that the water is flowing at a rate of ½ gallon per minute. Therefore, Connor is NOT CORRECT.
The rate of water Connor stated does not correspond with the rate shown by the slope. The slope of the graph, ½, shows that the water is flowing at a much slower rate than at the rate of 2 gallons per minute, which Connor stated.
The right answer is C.
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
students are girls?
Answers
Answer:
There are 15 girls and 21 boys
Step-by-step explanation:
Answer:
15 girls
Step-by-step explanation:
What’s the constant of proportionality of the relationship shown in the graph?
Answers
Answer: It's 3
Step-by-step explanation:
The lesser of the two solutions to x(x + 4) = 21 is:
Answers
Answer:
Lesser is -7
Step-by-step explanation:
x(x+4) = 21
Distribute
x^2 + 4x = 21
x^2 + 4x - 21 = 0
x^2 + 7x - 3x -21 = 0
(x+7)(x-3) = 0
x=-7, 3
PLS MARK BRAINLIEST
Help me pls this is a test I need a good grade
Answers
Answer:
81.05/20 is the better deal and the unit rate is $4.05
Step-by-step explanation:
hopefully this helps :)
Answer:
the second deal is better. the unit rate is 4.05/gal
Step-by-step explanation:
106/25=4.24
81/20=4.05
Which graph shows the line y=35x−3?
Answers
Answer:
the last picture
Step-by-step explanation:
the one where the line hits the -3 mark on the y-axis
Answer:
this is how the graph should look
Step-by-step explanation:
Pleas help me with this I hate math
Answers
Answer:
Not a function, as it fails the vertical line test.
Step-by-step explanation:
I dislike math as well.
Answer:
B. not a function
Step-by-step explanation:
One x value has more than one specific y value. To be a function one x value cannot have more than one specific y value.
Determine the
constant of
proportionality.
Answers
Answer:
Step-by-step explanation:
Time is 2 miles 110 is 55 miles per hr
5 hrs *55 mph= 275
12*55= 660
Yes it is in proportion.
Jade takes 5 minutes more than twice as long as Binh to ride to their friend’s house. If Binh takes x minutes to ride to his friend’s house, how long will it take Jade?
Answers
Answer:
It will take Jade (2x + 5) minutes
Step-by-step explanation:
Let us find the expression that represents the time Jade will take
∵ Binh takes x minutes to ride to his friend’s house
∴ The time Binh takes = x minutes
∵ 5 more means + 5
∵ Twice means × 2
∵ Jade takes 5 minutes more than twice as long as Binh to ride to their
friend’s house
→ Multiply the time Binh takes by 2 and add the product by 5
∵ Binh takes x minutes
∴ The time Jade takes = 2 × x + 5
∴ The time Jade takes = 2x + 5 minutes
∴ It will take Jade (2x + 5) minutes
The sum for three numbers is 57 the second number is 2x the first the third number is 18 less than the second what is the third number
Answers
Step-by-step explanation and answer:
consider the numbers x,y,z
X+y+z=57
2x=y-6
y=10+z
y=2x+6
z=y-10
=2x+6-10
z=2x-4
x+y+z=57
x+2x+6+2x-4=57
5x+2=57
5x=55
x=11
y=27
z=18
CDE~CKJ
HELP PLEASE!!!
Answers
If it helps pls give me brainliest
Answer:
nah i said D first
\
Step-by-step explanation:
need answer asap! will give brainiliest!!!
what are the steps for graphing linear equations?
Answers
Найдите точку пересечения оси Y на графике и нанесите точку.
С этого момента используйте наклон, чтобы найти вторую точку и построить ее.
Проведите линию, соединяющую две точки.
To graph a linear equation, we can use the slope and y-intercept.
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
pleaseee help
6x7/8=
5/6x2/5=
Answers
A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In February, there are 28 days. The company's budget allows for 15,000 total miles in February. Do you think the budget is reasonable? Explain.
Answers
Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget
Step-by-step explanation:
Given data:
Distance between two cities = 48 miles
Number of days available in February = 28
February budget = 15000 miles
Solution:
If the distance between two cities = 48 miles, and 7 trips are made daily
= 48miles * 7
= 336 miles is travelled each day.
For February
= 28days * 336
= 9408 miles.
Budget – travel distance covered ( February)
= 15,000 - 9408
= 5592 miles.
The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.
So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
On a coordinate plane, a parabola opens up.
A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.
Answers
D.it is not linear because it does not have a constant rate of change
Answer:
d
Step-by-step explanation:
i took the test
Find the mean, variance and standard deviation of the binomial experiment. In a recent survey, 70% of the community favored building a police substation in their neighborhood. If 30 citizens are chosen, what is the mean number favoring the substation? What would be the variance and standard deviation of their responses?
Answers
Answer: Mean = 21 , Variance = 6.3 , standard deviation =2.51
Step-by-step explanation:
Formula for the mean, variance and standard deviation of the binomial experiment :
[tex]Mean = np\\\\ Variance = np(1-p)\\\\ Standard\ deviation = \sqrt{variance}[/tex]
, where n= sample size , p= population proportion.
As per given, p= 70%=0.7 , n=30
[tex]Mean = 0.7\times30=21\\\\Variance =(30)(0.7)(1-0.7)=(21)(0.30)=6.3\\\\ Standard\ deviation = \sqrt{6.3}\approx2.51[/tex]
Hence, Mean = 21 , Variance = 6.3 , standard deviation =2.51
Select the best answer.
1. A principal spent $1780 on c calculators
for her school. Write an expression that
shows the cost of one calculator?
Answers
= 1780/c