What is the average rate of change of f(x) = 5x – 7 from x = -3 to x = 7?
Answer:
[tex]f(x) = 5x - 7 \\ change = f(7) - f( - 3) \\ = ((5)(7) - 7) - ((5)( - 3) - 7) \\ = (35 - 7) - ( - 15 - 7) \\ = (28) - ( - 22) \\ = 50 \\ average \: change = \frac{change}{2} \\ = \frac{50}{2} \\ = 25[/tex]
The rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
A function f(x) = 5x - 7 is given which changes from x = -3 to x = 7.
We have to find out the average rate of change for the given function.
What is the average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] ?
The average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] can be given by a formula which is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex].
As per the question ;
The function is f(x) = 5x - 7
So,
At x = -3
f(x) = 5 × -3 - 7
f(x) = -15 - 7
f(x) = -22
At x = 7
f(x) = 5 × 7 - 7
f(x) = 35 - 7
f(x) = 28
Let's use the formula to find average rate of change of function ;
i.e.,
= [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex]
= [tex]\frac{(28)-(-22)}{7-(-3)}[/tex]
= [tex]\frac{28+22}{7+3}[/tex]
= [tex]\frac{50}{10}[/tex]
= 5
Thus , the rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
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In a survey four out of seven people named blue as their favorite color. One out of three
named red IF 1,092 people were included in the survey, how many named neither blue nor red
as their favorite color?
Answer:
The answer is on the picture.
Step-by-step explanation:
The answer is on the picture.
Pls help me I don’t understand this!!! Happy new year everyone.
What is the product of 3.06 and 4.1 rounded to the nearest hundredth?
Answer:
12.55
Step-by-step explanation:
The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given decimal numbers are 3.06 and 4.1.
Now, product =3.06×4.1
= 12.546
To the nearest hundredth is 12.55
Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
Learn more about the multiplication here:
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what is 16 to the zeroth power
Answer: 1
Step-by-step explanation: Nice try :)
Answer:
1
Step-by-step explanation:
Anything to the 0th is 1
The time of a race is 13.7seconds rounded to 1 decimal place.If the time was x seconds find the inequality in x
Answer:
13.65 ≤ x < 13.75
Step-by-step explanation:
Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.
Therefore the inequality to represent x is:
13.65 ≤ x < 13.75
3. Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?
A. They are the same size and shape.
B. They are the same size but different shapes.
C. They have corresponding angles that are congruent.
D. They have corresponding sides that are congruent.
Answer:
A
Step-by-step explanation:
Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true? They are the same size and shape.
As an estimation we are told 5 miles is 8 km.
Convert 17.6 km to miles.
Answer:
17.6 kilometers are equal to 11 miles.
Step-by-step explanation:
Given that:
8 kilometers = 5 miles
Unit rate in terms of kilometer.
1 kilometer = 5/8 miles
Now,
We have to convert 17.6 kilometers in miles
17.6 kilometers = [tex]\frac{5}{8}*17.6[/tex]
17.6 kilometers = [tex]\frac{5}{8}*\frac{176}{10}[/tex]
17.6 kilometers = 11 miles
Hence,
17.6 kilometers are equal to 11 miles.
HELP ME PLEASE!!!!!!!
Answer:
1. (0,0) (3,1) (6,2)
2. proportinal
3. im so sorry but i cant see that one i really am sorry!
Step-by-step explanation:
i hope i helped brainliest?
What is the slope of the line through (0,-1) and (2,3)?
If 5x + 2 = 17, then 10x + 4 = 34 True False selle Corporation. All Rights Reserved
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
What is the value of the expression below when x=4 2x^2+x-5
Overview
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7
Question Progress
Homework Progress
4/28
Expand and simplify (2x - 3)(3x + 4)
Answer:
6x²-x-12
Step-by-step explanation:
(2x - 3)(3x + 4)
6x²+8x-9x-12
6x²-x-12
Pam read 126 pages of her summer reading bookin 3 hours. Zac read a180 pages of his summer reading book in 4 hours. If they continue to read at the same speeds, will they both finish the 215 page book after 5 total hours of reading?
Answer:
Zac will finish, Pam won’t
Step-by-step explanation:
Let’s have the individual reading speeds
The individual reading speeds are the number of pages divided by hours taken
For Pam; 126/3 = 42 pages per hour
For Zac; 180/4 = 45 pages per hour
In five hours, Zac would read; 45 * 5 = 225 pages
In five hours, Pam would read 42 * 5 = 210 pages
40 = x/-4/7 what is X
Answer:
x = -70
Step-by-step explanation:
(I’ll give brainliest)
Answer:
52.5n+449.85
Step-by-step explanation:
15 x (3.5n +29.99)
15x (3.5n) + 15 x (29.99)
52.5n + 499.85
unrelated but I just had this problem on a homework assignment on the same assignment. Cool coincidence am I right.
Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers per minute?
Answer:
0.205 (rounded)
Step-by-step explanation:
Perform long division by multiplying the numbers by 1000 to remove the decimals and then solving. Or you could have just used a calculator lol. So I did like 5 digits of it, and you could just round to 0.205, I wouldn't go too far with the decimals even though it is a terminating decimal I believe.
Answer:
it is b my guy :)
Step-by-step explanation:
In solving the equation 2x+5=9, which property of equality do we use first? Why?
Determine which of the following terms are not considered to be like terms with the expression -6s2t. Select all situations that apply.
( s2)( t)
10 ∙ s2 ∙ t
4( s ∙ t)
-6( s2 + t)
s2t
s2 ∙ t2
Please help I dont have much time
Answer:
[tex](s^{2})(t) , 10^{2}t, s^{2}t[/tex] are the correct answers
Step-by-step explanation:
The others don't work because they don't have the same power for each variable.
Answer:
It is s^2(t), 10 *s^2 * t, and (1/4) (s^2)(t)
A farmer is selling apples from his orchard. He uses the equation c = 1.6pto calculate the total cost, c, for every pound of apples, p.
a.) How much does a customer pay for 1 pound of apples?
b.) How much would 8.5 pounds of apples cost?
c.) A customer spent $5.20. How many pounds of apples did they purchase?
Answer:
A) $1.60
B) $13.60
C) 3 1/4 lb
Step-by-step explanation:
What we know:
A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.
A) 1 pound would cost $1.60, as that is the unit rate.
B) 8.5 * 1.6
8.5 + (0.6 * 8.5)
8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.
C) 5.2/1.6
52/16
13/4 = 3 1/4 lbs of apple for $5.20
Will give Brainliest!!!
The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordiante for this point in the box.
(−14,?)
Answer:
(-1/4, 2)
Step-by-step explanation:
Substitute the given information into the equation and solve for y.
3y +4(-1/4) = 5
3y -1 = 5 . . . . . . simplify
3y = 6 . . . . . . . . add 1
y = 2 . . . . . . . . . divide by 3
(The other person who said -5 is incorrect and he gave no explination)
steven has £1100
he pays £530 for a new tv
his motrtgage is £480
how much money does he have left after playing for the tv and paying for the tv and playing his mortgage
Answer:
$90
Step-by-step explanation:
$1,100
-$530
-$480
______
$90
Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?
Answer:
Step-by-step explanation:
Equation of a line passing through (h, k) in point slope form is given by,
y - k = m(x - h)
From the graph attached,
Slope of the line passing through (6, 12) and (3, 21),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-12}{3-6}[/tex]
= -3
Therefore, point - slope form of the line passing through (3, 21) will be,
y - 21 = -3(x - 3)
Now convert this equation in slope intercept form,
y = -3x + 9 + 21
y = -3x + 31
(b). For x = 1 Or day 1
y = -3(1) + 31
y = 28 minutes
Therefore, Phillip took 28 minutes initially to deliver his packages.
Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.
Please help me as soon as possible
Answer:
A
Step-by-step explanation:
A is the correct answer
Find the x and y intercepts of y=-x+6
Answer:
the X intercept may be -1 and yintercept no idea
PLEASE HELP!!
Find the value of x
10 and 11!
Answer:
10)
11x-1+20x-3=151 (the exterior angle of an triangle is equal to the sum of two opposite interior angles)
31x-4=151
31x=151+4
31x=155
x=155/31
x=5°
11)
14x-13=4x+13+6x+2
14x-4x-6x=13+13+2
4x=28
x=28÷4
x=7°
Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
12 divided by three-fourths
12 times three-fourths
Three-fourths divided by 12
Four-thirds divided by 12
Jada has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00.
c) They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?
Answer: See explanation
Step-by-step explanation:
Your question wasn't well written but I saw an identical question so let me help out.
a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?
b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?
a. Subtotal = $42.00
Tax = $3.99
Percentage of subtotal that is sales tax will be:
= Sales tax/Subtotal × 100
= 3.99/42.00 × 100
= 9.5%
b. Tip = $7
Sub total = $42
The percentage of the subtotal that is the tip will be:
= Tip/Sub total × 100
= 7/42 × 100
= 16.67%
4(c - 3)=8 What is the value of the C? i really need help, i will mark brainliest
Answer:
c = 5
Step-by-step explanation:
4 (c - 3) = 8
4c - 12 = 8
+12 +12
4c = 20
c = 5 Check:
4 (5 - 3) = 8
20 - 12 = 8, the answer is correct
Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided
Answer:
A……
Step-by-step explanation: