On the interval [x,7] , at which x-value is the average rate of change 56?
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Answers
Average rate of change of 56 at the point x=4
What is average?An average is a single number taken as representative of a list of numbers
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
Consider the point 4
At x=4; f(x)=24
At x=7: f(x)=192
Average Rate of change = Rate of change of f(x) / Rate of change of x
Average rate of change =[tex]\frac{192-24}{7-4}=\frac{168}{3}[/tex]
Average rate of change = 56
Hence, the average rate of change of 56 at the point x=4
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Related Questions
Consider the inverse function
f^-1(x) = - sqrt (x-2)
Which conclusions can be drawn about f(x) = x^2 + 2? Select three options.
A.) f(x) has a limited range
B.) f(x) has a restricted domain
C.) f(x) has an x-intercept of (2,0)
D.) f(x) has a maximum at the point (0,2)
E.) f(x) has a y-intercept at the point (0,2)
A, B, E are the right answers!
Answers
Answer:
A, B, E
Step-by-step explanation:
Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:
Answers
Answer:
the answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Correct on edge
What does x = answer choices
4
16
9
Answers
Answer:
16
Step-by-step explanation:
x=16 because the Sides length and the degrees of the angle colide and show that x=16
Find the slope of the line. Write your answers in simplest form
Answers
Answer:
-3/5
Step-by-step explanation:
using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.
You can also use the formula to find the slope:
1) y₂-y₁/x₂-x₁
2) -2-1/1-(-4)
3) -3/5
The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the
largest angle?
Answers
Answer:
84°
Step-by-step explanation:
Let the measures of the triangle be 5x, 7x, 3x.
By interior angle sum postulate of a triangle.
5x + 7x + 3x = 180°
15x = 180°
x = 180°/15
x = 12°
7x = 7*12°= 84°
Measure of the largest angle = 84°
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
Answers
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.
Answers
Given:
The units sold follows the equation
[tex]U = 10000-2000P[/tex]
To find:
An equation for sales as a function of price.
Solution:
Let S represents the sales function.
We know that, the money from sales is equal to the units sold times the price P of the unit.
[tex]S=U\times P[/tex]
[tex]S=(10000-2000P)\times P[/tex]
Using distributive property, we get
[tex]S=10000P-2000P^2[/tex]
Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].
find the value of y
a= 23
b= 46
c= 170
d= 85
Answers
Answer:
write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5
how much are these coins worth????????
Answers
Answer:
$1.48
Step-by-step explanation:
Evaluate the expression
please help me
Answers
Answer:
19/9 i think
Step-by-step explanation:
No explanation
ASAP HELP FOR BRAINLIEST!!!
A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.
Answers
Answer:
63 more points
Step-by-step explanation:
275(goal) - 212(current points) = 63(points needed)
Check your work: 212+63=275
He needs to score 63 points
if pml is congruent to trq find qr?
Answers
Answer:
16
Step-by-step explanation:
How are maps of cities like dilations? GEOMETRY WILL GIVE BRANLIEST.
Answers
Dilations change the size of an object or image. In this case, a city map changes the city's size and makes it smaller so that it can be read.
Which expression has a value of 50 after simplifying?
A.
(24 + 48) ÷ 4 + 2
B.
8 + (15 – 4) x 4 – 10 ÷ 5
C.
36 – 24 ÷ 6 + 24
D.
(8 + 12) – 6 + 9
Answers
Answer:
b
Step-by-step explanation:
Use PEMDAS in order to solve
Find the value of X please help
Answers
12x+ 36= 180
12x= 144
x= 12
Evaluate f(x) = - 3x - 4 for x = 1 .
Answers
[tex]f(x)=-3x-4[/tex]
Substitute x = 1 in the equation.
[tex]f(1)=-3(1)-4\\f(1)=-3-4\\f(1)=-7[/tex]
Therefore, the answer is f(1) = -7
Sketch a polynomial that has:
-odd degree
negative leading coefficient
f(2) = -3
f(-3) = 0
4 is a zero with multiplicity of 2
Answers
Answer:
6 summary is answer and stuff
Aye can one of y’all help me break this answer down (btw the total is 120)
Answers
First you subtract the sandal cost from the total price (120-20=100), then you divide the amount of t-shirts (5) by that amount (100). So 100/5=20 so that is the price of the individual T-shirts.
Final answer: $20 per t-shirt
Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!
Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)
Discount and Tax examples for math... HELP!!!!
Answers
Answer:
Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?
−3x−7+2x+9=5
what is X?
Answers
Answer: x = -3
Hope this helps and good luck :)
Step-by-step explanation:
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
Answers
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5
Which set of integers is listed from least to greatest.
O 2,-1,-3
0 -3, 2,5
O 0,-1, 2
0 -3,-9,-12
Answers
Answer:
B
Step-by-step explanation:
1. Find the slope of the line graphed below.
Answers
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-2, 0)
Point (0, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-0}{0+2}[/tex]Subtract/Add: [tex]m=\frac{1}{2}[/tex]Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?
Answers
Answer:
20 cars
Step-by-step explanation:
10,000 ÷ 500 = 20
Answer:
2 cars
Step-by-step explanation:
4,000 + 500 = 4,500 x 2 =10,000
thus its 2 cars
)
Evaluate: 4+8= 2 (6 - 3)
16
33
25
18
Done
HURRY
Answers
the first third and sixth terms of an arithmetic sequence are shown. what is the common difference between consecutive terms in the arithmetic sequence 2,_,8,_,_,17,
Answers
Answer:it is going up by 3 each time
Source:trust me bro
Calculate the measure of ∠ PMU and ∠ UPM.
m∠ PMU =
m∠ UPM =
Answers
Answer:
you want to find angle PMB to find PMU
180-21-35= 124
so now, you subtract 180-124 to find PMU
180-124= 56
Now, subtract 56 and 62 from 180 to find angle UPM
180-56-62= 62
m< PMU = 56
m<UPM = 62
Step-by-step explanation:
So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.
62+35=97
180-97=83
Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.
83-21=62(angle UPM)
Then do the same steps for finding the M angles
(Left Triangle)
62+62=124
180-124=56
(Right Triangle)
21+35=56
180-56=124
And because M intersects a straight line, the M angles should add up to 180.
56+124=180
Hope This Helps :)
An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?
Answers
Answer:
10 minutes!
Step-by-step explanation:
140 * 10(min) = 1,400
4000 - 1,400 = 2,600 ft
so will take 10 minutes for the plane to descend 1,400 ft
Answer:
10 minutes
Step-by-step explanation:
in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
A. x = -3/4
B. x = -4/3
C. x = 4/3
D. x = 3/4
Answers
Answer:
C. x=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
I got it right on the test
48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?
1 point
Answers
Answer:
40%
Step-by-step explanation:
Answer:
it will be 40%
Step-by-step explanation:
because the formula of getting the answer is 48/120×100 which is 40
