Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O A. -6 > O B. 12 O c. 6 O D.-12
Answers
Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex](a,b) = (2,4)[/tex]
So, we have:
[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]
Using the attached graph, we have:
[tex]f(2) = 4[/tex]
[tex]f(4) = 16[/tex]
So, we have:
[tex]Rate = \frac{16- 4}{2}[/tex]
[tex]Rate = \frac{12}{2}[/tex]
[tex]Rate = 6[/tex]
Related Questions
A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answers
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
How many solutions does this equation have? -2-5x= -(5x+2)
Answers
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages?
Answers
Answer:
Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.
Step-by-step explanation:
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answers
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answers
Answer:
10 in
Step-by-step explanation:
help please help please
Answers
Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?
Answers
Answer:
.75 liters
Step-by-step explanation:
add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter
help please help me
Answers
Answer:
given the way its said i say sudden.
I need help with this question please
Answers
Where m mean gradient , and c means intercept
We don’t know our intercept neither do we know our gradient
So we have to find these to get our equation
Therefore, to find m( gradient) from the table
We are going to use the formulae for gradient which is
M=y2-y1 / x2-x1
I.e from the table
M= 23-15 / 4-2
M=8/2
M=4
Therefore how gradient is 4
Evaluate the expression for x^2×x^1 for x=9
Answers
Answer:
729
Step-by-step explanation:
x^2*x^1 = (9)^2 * (9)^1
= (9)^3
= 729
i need to know the surface area of both 1 and 2 please
Answers
Answer:
1. 142 in.²
2. 190 cm²
Step-by-step explanation:
Both solids are rectangular prisms.
Surface area of a rectangular prism = 2(LW + LH + HW)
1. L = 7 in.
W = 3 in.
H = 5 in.
Plug ok the values into the formula
Surface area = 2(7*3 + 7*5 + 5*3)
= 142 in.²
2. L = 10 cm
W = 3 cm
H = 5 cm
Plug ok the values into the formula
Surface area = 2(10*3 + 10*5 + 5*3)
= 190 cm²
In the triangle below, what is the length of the side opposite the 60° angle?
A. /3
B. 3/3
C. 6
D. 2/3
Answers
Step-by-step explanation:
[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]
I need help pleasee!!!!
Answers
Answer:
Your answer is c
Step-by-step explanation:
the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c
The following is an arithmetic series.
31+33.5+36+38.5+...
O True
O False
Answers
9514 1404 393
Answer:
True
Step-by-step explanation:
It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.
True, the sum is an arithmetic series.
Complete the pattern. 33, 44, 55, 66, ___, ___
Answers
Answer:
33,44,55,66,77,88
Hope this helps!!!!!!!
Struggling with these last two. Thanks so much!!
Answers
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
and the second one D
What is the prime factorization of 156?
Answers
This is the answer :)
Paul purchased a new fish tank, represented by the diagram below.
The height, h, of the tank is 3 feet, and the width, w, is 6 feet longer than the length, l. The volume of the tank (V=lwh) is 60 ft^3.
Write an equation that could be used to calculate the length of the tank.
Determine the exact length of the tank in simplest radical form.
Answers
Answer: l=-3+square root of 29
Step-by-step explanation:
I got this on my math homework
Determine whether each expression is equivalent to 64^t^3-0.5t
Answers
Answer:
Step-by-step explanation:
80% of what number is 960? Answer pls
Answers
Answer: 1200
Step-by-step explanation:
80% × x = 960
or,
80
100
× x = 960
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 960 ×
100
80
x = 1200
Answer:
Answer: 1200 eeeeeeeee
Solve 1/3(3.2×1.4)2.8
Simplify your answer
Answers
Answer:
4.181
Step-by-step explanation:
1/3 (3.2×1.4) 2.8
1/3 ( 4.48) 2.8
1/3 (4.48 × 2.8)
1/3 × 12.544
= 4.181
The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to find the amount of time it will take Machine B to pack the additional boxes that are needed for the order, assuming none of the boxes are defective.
Answers
Answer:
no lo sé pero te ayudaría si lo supieracan someone solve for x please
Answers
Answer:
x=-4
Step-by-step explanation:
The two lines are parallel, so the two angles, 45 and x+49 are equal too
Lets make the equation
x+49 = 45
x = 45-49
x = -4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
r = 3.7 m.
Calculate the circumference of the circle.
Answers
Answer: 23.25m
Step-by-step explanation:
C=2πr=2·π·3.7≈23.24779m
what is the polynomial degree for 7,8+6,5-4
Answers
Answer:
7
,
14
,
1
Step-by-step explanation:
A $1,200 computer is losing value at a rate of 22% per year; 2 years
Answers
Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
2,649 divided by 55 please help
Answers
Answer:
49.1636363636
Step-by-step explanation:
Help me please, I need this
Answers
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answers
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
I want to know how to do 11/13+44/39
Answers
Answer:
I'm pretty sure that the answer is 1.97
[tex] \frac{11}{13} + \frac{44}{39} [/tex]
11/13 ×3
11×3=33
13×3=39
11/13=33/39
33/39+44/39
= 77/39
77÷39
=
[tex]1 \frac{38}{39} [/tex]