The average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
Important information:
The function is [tex]f(x)=2x+8[/tex].The given interval is [2,6].Average rate of change:The average rate of change of the function f(x) over the given interval [tex][a,b][/tex] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Using the above formula, we get
[tex]m=\dfrac{f(6)-f(2)}{6-2}[/tex]
[tex]m=\dfrac{(2(6)+8)-(2(2)+8)}{4}[/tex]
[tex]m=\dfrac{12+8-4-8}{4}[/tex]
[tex]m=\dfrac{8}{4}[/tex]
[tex]m=2[/tex]
Thus, the average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
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someone buys a pen for 1.09 and paper for 2.50 how much more does the paper cost more then the pen
Answer:1.41
Step-by-step explanation: subtraction
What is the constant rate of change?
Answer: The constant rate of change is 8.
Alfredo is buying a watch for $200. He will make an initial payment of $50 and
then pay the remaining balance in payments of $15 per week.
Which function can be used to find a, the amount he will still need to pay at the
end of n weeks?
Answer:
Step-by-step explanation:
There is nothing to choose from.
However, 200-50 down payment will leave 150 left on the watch. 150 divided 15 a month is 10 months.
200=50+15(n)
200=50+15(10)
Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The
Answer:
c = 7.45
Step-by-step explanation:
its easy and im smart that's why i got it
Linear equations- please help me
−5(5x+3)−5x+1=−44
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer:
22meter per second
Step-by-step explanation:
374/17=22
Answer:
Could I have branliest please and heart answer is below <>
Step-by-step explanation:
22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second
HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!
Answer:
97
Explanation:
Buddy- 6
Hermey-3
____________________________________________________________
It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!
6+94=100 years old!
3+94= 97 years old!
Answer:
He is going to be 50 years old
Step-by-step explanation:
if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50 because that would be half. You can divide it if you want some extra proof :)
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?
2s - 10
2s + 10
s - 10
s + 10
Answer:
side - equation - measurement
1st side - 2s - 65 - 55cm
2nd side - s - 60cm
3rd side - s - 10 - 50cm
Step-by-step explanation:
total = 165
side - s
1st side = 2s - 65
2nd side = s
3rd side = s - 10
1st side + second side + 3rd side = 165
2s - 65 + s + s - 10 = 165
2s + s + s - 65 - 10 = 165
4s - 75 = 165
4s = 165+ 75
4s = 240
s = 60
1st side = 2s - 65
= 2(60) - 65
= 120 - 65
= 55cm
2nd side = s
= 60cm
3rd side = s - 10
= 60 - 10
= 50cm
3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10
Answer:
s-10
I took the quiz
find the length of x and y
Answer:
x = 10.296
y = 5.831
Step-by-step explanation:
You can use the Pythagorean theorem to solve the triangles shown in various ways.
9²+5²=x²
x = 10.296
5²+3²=y²
y = 5.831
Solve the absolute value inequality: |8x + 5| > 15. Express using interval notation
Answer:
8 < 2
Step-by-step explanation:
8x + 5 > 15
8x > 15 - 5
8x > 10
x < 2
cmiiw
fifty-six thousandths in decimal form and standard form
0.056 is the decimal form and 56000.00 is the standard form.
What is the standard form of decimals?
'Decimal numbers in standard form are the simplest form, that can be easily read and written.'
According to the given problem,
The value of the digits to the right of the decimal point is less than 1
Hence we can conclude that decimal form is 0.056, Standard form is 56000.00.
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pls help me TwT than u very much
Answer:
The answer is C
Step-by-step explanation:
Discrete is where its a whole number and does not continue.
There can only be a whole number of people. there cannot be half a person.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
When applying a discount and then a tax, you will multiply to find the discount, subtract it, multiply to find the tax, and then add it. True or False?
Please help this is due right now!
Answer:
i believe its B
Step-by-step explanation:
Okay. B because your paying more than store A so B will pay the phone off faster than store A . if i am wrong let me know.
......ah....................
Answer:
a infinatley many
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are no solutions.
Hope this helps!
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:B if two lines are cut by a traversal, then corresponding angles are congruent.
Step-by-step explanation: the corresponding angles theorem proves this.
Benjamin drives 60 miles every hour. He drives 180 miles to his uncles house.
Answer:
wouldnt it be 3 hours of driving
Step-by-step explanation:
60*3=180
sorry if im wrong
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1,5, 3,5)?
Answer:
B
Step-by-step explanation:
slope equals 1 and y-int equals 5
can someone help me
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Explanation:
Let's find the slope of the table. This will tell us the rate of change.
m = slope
m = (y2-y1)/(x2-x1)
m = (25250 - 26375)/(2 - 1) .... I used the first two rows
m = -1125/1
m = -1125
The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.
Since we're told the initial altitude was 27500 ft, this means b = 27500
This means y = mx+b turns into y = -1125x+27500
x is the number of minutes and y is the altitude at time x
As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.
------------------
Now plug in y = 16250 and solve for x
y = -1125x+27500
16250 = -1125x+27500
-1125x+27500 = 16250
-1125x = 16250-27500
-1125x = -11250
x = -11250/(-1125)
x = 10
It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.
Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.
A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls
$5,520.00 there ya go
What is the amount of the interest on a 5 year loan of $2000 with 4.5 % simple interest rate?
Divide 6 divided by 3/5
Answer only if u know please:)
Answer:
The answer is 10 or 10/1
A package of 4 pairs of insulated socks costs $26.76. What is the unit price of the pairs of socks ?
I need an answer for both of these
Answer:
1. x < -2
2. x < -9
Step-by-step explanation:
1. x + 15 < 13
Minus 15 on both sides.
x + 15 - 15 < 13 - 15
+15 - 15 makes a 0.
x < -2
2. x + 11 < 2
Minus 11 on both sides.
x + 11 - 11 < 2 - 11
+11 - 11 makes a 0.
x < -9
Answer:
1. x < -2
2. x < -9
3. x < 15
Step-by-step explanation:
Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.
1. x+ 15 = 13
subtract 15 from both sides
x=-2, or x < -2
2. x + 11 = 2
Subtract 11 from both sides.
x=-9, or x <-9
3. 19 > x + 4
19 = x + 4
Subtract 4.
15 > x, or x < 15
In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°
Answer:
1.34 hope this helped
Step-by-step explanation:
Answer: 0.8
Step-by-step explanation:
S/sin 23 = 1.5/sin 135
s= 1.5 sin23/sin 135 = 0.829
ROUND IT TO THE NEAREST 10th and you get 0.8
The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?
Answer:
Length = 18
Step-by-step explanation:
Length= 2w - 4
Perimeter= 58
Perimeter= 2L + 2w
58 = 2(2w-4) + 2w
58 = 4w -8 + 2w
58 = 6w - 8
66 = 6w
11 = w
Plug in width to find the variable L
58 = 2L + 2(11)
58 = 2L + 22
36 = 2L
18 = L
Using the order of operations, what should be done first to evaluate 6 + 10-(-5)(3) - 5?
Answer:
(-5)
Step-by-step explanation:
Using PEMDAS you should do (-5) because Parenthisis Always Go First, since their are two parenthisis go left to right and answer those first. after that do (3) and after that simply go left to right with 6+10-(-5)(3)-5. Hope this helps.
Which of the following shows the lengths of the sides of a right triangle?
A. 2, 3, 4
B. 5, 7, 11
C. 6, 8, 10
D. 8, 12, 15
Answer:
C
Step-by-step explanation:
use the formula a²+b²=c²
I need help!! Worth 13 points!!
Answer:
601/14
Step-by-step explanation:
1/7(-1/2)=-1/14
43-1/14
602/14-1/14
601/14
A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.
Step-by-step explanation:
1) 43
2) 61
3) 79
4)97
5)115
Answer:
popoverlover20 is correct I got it right
Step-by-step explanation:
