What is the average rate of change for this function for the interval x=2 to x=4?
Answers
Answer:
12
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 2, 4 ]
f(b) = f)4) = 32 ← from table
f(a) = f(2) = 8 ← from table
Then average rate of change is
[tex]\frac{32-8}{4-2}[/tex] = [tex]\frac{24}{2}[/tex] = 12
Related Questions
The scatter plot shows the relationship between summer and winter temperatures. What is the range of the cluster shown in the
scatter plot?
A)
51°F to 71°F average January high temperature
B)
58°F to 61°F average January high temperature
C)
91°F to 98°F average July high temperature
D)
94°F to 95°F average July high temperature
Answers
Answer:
D
Step-by-step explanation:
Since it's talking abtou clusters, the only "cluster" like part there is there is where 94 and 95 are, so it has to be D.
Using the scatter plot and the range concept, it is found that the correct option is:
C) 91°F to 98°F average July high temperature
The range of a data-set is the set that contains all possible output values.
In this problem, the average July temperature is the output, plotted as function of the average January temperature, which is the input.
It varies from 91ºF to 98ºF, hence, the correct option is:C) 91°F to 98°F average July high temperature
A similar problem is given at https://brainly.com/question/14573464
find value of x please
Answers
Answer:
144º
Step-by-step explanation:
In a octagon there are 8 total sides. And the angles added up all together should equal 1080º.
136 + 132 + 129 + 116 + 158 + 141 + 124 = 936
1080 - 936 = 144
x = 144º
Find the area of this circle. Use
3.14 for a
92 ft
The area of the circle is about
ft.
Answers
More specific 288.88
What is the slope of the line?
Answers
Explanation: Rise over Run. Since the line is going downwards, the slope is negative
Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.
Answers
Answer:
the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Step-by-step explanation:
The computation of the cost of one cherry pie and the lemon meringue pie is shown below:
Let us assume the cherry pie be x
And, the lemon meringue pie be y
So according to the question
x + 5y = $69
5x + 7y = $129
Now multiply by 5 in the equation 1
5x + 25y = $345
5x + 7y = $129
18y = $216
y = $12
And, x would be
x + 5($12) = $69
x = $9
Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
constant preportionality y = - 15 / -5
Answers
Answer:
k = 15
Step-by-step explanation:
Answer:
k=15
Step-by-step explanation:
the equation of 2 quantities in direct proportion is
· y=kx. k is the constant of variation
y = 15x is the form
With k=15
What is 5637 time 7829
Answers
Hope this helped!
Joshua invested $750 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded quarterly. Josiah invested $750 in an account paying an interest rate of 2\tfrac{5}{8}2 8 5 % compounded annually. After 18 years, how much more money would Joshua have in his account than Josiah, to the nearest dollar?
Answers
Answer:
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
delta math says answer is 100
Step-by-step explanation:
Help me with this please. .. . . . .
Answers
Answer:
Se attached
Step-by-step explanation:
Solution is in the picture
Pls answer and explain
Answers
Answer:
13364 cm³
Step-by-step explanation:
Lets Find the area of the trapezoidal face
Base 1 = 15
Base 2 = 37
Height = 25.7
Formula for area of trapezoid
(b1+b2)h/2
Lets Input
(15+37)25.7/2
1336.4/2 = 668.2
Now lets multiply by 20, or the length
668.2 x 20 = 13364
Note we could have saved time by multiplying 1336.4 x 10 because 20/2 = 10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
LLEASE PLEASE I NEED HELP!!! I’ll mark brainliest
Answers
Answer:
It would be the first answer
Step-by-step explanation:
At the bottom of each graph is the starting point and you can see the red graph starts at 0 where the other does not
Answer:
The graphs make it appear that Cool Cars' prices are much greater, but they are only a little bit greater.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong, then i am incredibly sorry!
Select the correct answer.
Which equation correctly solves the Pythagorean theorem, a2 + b2 = , fc
O A. b = c -a
B. b = VC2 - 22
Ocb = V2 + a2
D.
b = c + a
Answers
Answer:
a² + b² = c²
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
In a Geometry class, Rosalie draws two circles on the coordinate grid as shown. She asks her students to prove that the two circles are similar.
Describe the transformation that maps circle C onto circle A?
Answers
Answer:huhhh
Step-by-step explanation:
Yh
can anyone help me please :)
Answers
Answer: B
Step-by-step explanation:6+4+5+3+8=26
26-6=20 20/26=10/13
he baseball team pitcher was asked to participate in a demonstration for his math class. He took a baseball to the edge of the roof of the school building and threw it up into the air at a slight angle so that the ball eventually fell all the way to the ground. The class determined that the motion of the ball from the time it was thrown could be modeled closely by the function
h(t)=16t^2+64t+80
Where h(t) represents the height of the ball in feet after t seconds.
1. By looking at the equation, how can you determine whether the function has a maximum or a minimum value? (1 point)
2. Find the maximum or minimum value of the function algebraically. After how many seconds did the ball reach this value? Show how you found your answers. (2 points)
3. Evaluate h(0). Explain this value in the context of the problem. (1 point)
4. How long is the ball in the air? Justify your answer. (2 points)
5. State the domain of the function in interval notation, and explain the restrictions on the domain based on the context of the problem. (2 points)
Please Help
Answers
HELP PLS GIVING BRAINLIEST
A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back. PS the koi fish cost $7
Answers
Step-by-step explanation:
y = 50 - 7x
since each fish cost 7 this equation works no matter how many fish she buys.
Solve the system of equations graphically 3x-y=4, 2y+x=6
Answers
Answer:
y=2 x=2
Step-by-step explanation:
x = -2y + 6
3•(-2y+6) - y = 4
- 7y = -14
7y = 14
y = 2
x = -2y+6
y = 2
x = -2(2)+6 = 2
x=2
Step-by-step explanation:
solve for y in both equations
3x-y=4subtract 3x from both sides
-y=4-3x
multiply the equation by -1
y=-1(4-3x)
2y+x=6subtract both sides by x
2y=6-x
divide both sides by 2
y=(6-x)/2
Now set the y values equal to each other-1(3x-4)=(6-x)/2
-3x+4=(6-x)/2
multiply both sides by 2
-6x+8=6-x
add 6x to both sides and subtract 6 to both sides
2=x
put 2 back into x for y=(6-x)/2
y=2
Hope that helps :)
This is a question about Factoring polynomials
-14^4+5x^2
Answers
Answer:
Can't Factor
Step-by-step explanation:
This is no solution.
Are you from Tennessee cause your the only 10 I see... respond pls I’m desperate...
Answers
Answer:
sheeeeeesh
Step-by-step explanation:
Write an expression for the perimeter of the square. SIMPLIFY your answer
Answers
Answer:
P=16x-20
Step-by-step explanation:
The perimeter of a square can be found by adding up all the sides, and since it is a square we know that all the sides are the same. So we get P=4(4x-5), then we distribute the 4, and are left with the equation P=16x-20.
hii please help i’ll give brainliest
Answers
A. (-5, -3)
Explanation:
In quadrant III, both x and y are negative.
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answers
Answer:
772 sold in monday
Step-by-step explanation:
add the problem
helpppppppppp plssss and tyyyy
Answers
Answer:
27Step-by-step explanation:
I tried each number until it was correct. If you do not trust me you can try eacj value as well
An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the nearest whole number.
Answers
Answer:
3 feet
Step-by-step explanation:
the volume of the aquarium is V= Lx wx H
it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH
H tallness and it is the aquarium's profundity
H=11.25/L xW= 11.25/2.5x1.5= 3 feet
Answer:
The depth is 3 ft
Step-by-step explanation:
The equation for volume is V = length * height * depth
change the equation for depth
depth = volume / (length * height)
fill the equation and solve
depth = 11.35 / (2.8 * 1.5)
depth = 11.35 / 4.2
depth = 2.70238095 rounded to 3
HELP!! ASAP!! NO FILES!! (will report if do) THX!!
Answers
Answer:
A is the correct answer
please tell me if I'm wrong
NO LINKS!! HELPP ME QUICK PLSS IM TRYING TO GRADUATE PLS HELP ME OUT Which of the following equations describes the line shown below? Check all
that apply
(1,-5) (-4,5)
Answers
Answer:
any equation that is equal to 2x - 3
Step-by-step explanation:
A manufacturer is interested in creating a new item. His research team starts with a model consisting of the functions =−3(+2)2+3
, y = - 3 and y = 0.
Where is an asymptote?
Answers
Answer:
x= -2
Step-by-step explanation:
The distance between Boats 2 and Boat 3 is known to be 65 miles. Given the picture below, determine the distance between Boat 1 and Boat 3.
Answers
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answers
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
LMNP is a rectangle. Find the value of x and the length of each diagonal LN= 4x + 13 and MP=9x - 7
Answers
Answer:
5/3
Step-by-step explanation:
Since the given figure is a rectangle with congruent diagonals and thus equal lengths, you can use the expressions for the diagonal lengths, set them equal, and solve the equation for x.