Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2


Related Questions

plz answer this question if you know it

Answers

Answer:

Step-by-step explanation:

You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.

How many solutions does this equation have. 3x + 99 = 3 (x + 33)

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

3x + 99 = 3 (x+33)

distribute 3 to x and 33

3 * x = 3x

3 * 33 = 99

3x + 99 = 3x + 99

If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions

Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

Your family went out to dinner. They spent $60.45 on dinner, 7% tax, and on top of both costs they left an 18% tip. How much total did her family pay for dinner?

Answers

Answer:

The answer is $75.56 total for the family payings.

Step-by-step explanation:

First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56!  Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3

if an angle is bisected to form two new 39° angles, what was the measure or the original angle

Answers

Answer:

78°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

78°

Step-by-step explanation:

39 × 2 = 78

--

Bisected - Divided into two parts.

Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4

Answers

Answer:

It's the first option

Step-by-step explanation:

√3 according to calculator is 1.73205...

And if you check the options given, you'd see that the first option is the closest answer

Determine the solution for the following equation: (8x-8)3/2=64

Answers

x=6 1/3 because you must follow PEMDAS

Answer:

X=3

Step-by-step explanation:

Edge2021

2(3х + 8) = 2х - 16 + 4х

Answers

Answer: 0= -32

Step-by-step explanation:

brainliest me

I need the answers to all of them pleaseeee

Answers

Answer:

I think it is 43167 but am not really sure

Answer:

HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC

PLS HELP ASAP ILL GIVE BRAINLKEST

Answers

Answer:

Its the bottom one x>5

Step-by-step explanation:

rewrite the expression as a single fraction 3/8 + 1/8

Answers

Answer:

Step-by-step explanation:

3/8+ 1/8 = 4/8

Triangle PIN is rotated -270 degrees about the origin.

Draw the image of this rotation.

Answers

If triangle PIN  is rotated -270 degrees about the origin, the new point is at:

P'(-3, 2), I'(7, 7) and N'(7, -2)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).

The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:

P'(-3, 2), I'(7, 7) and N'(7, -2)

Find out more at: https://brainly.com/question/11707700

Answer:

P=(-3,2)

I=(7,7)

N=(7,2)

Step-by-step explanation:

khan

what is 15/2 into a mixed number

Answers

7 1/2.

2 goes into 15 7 times with one left over.

PLEASEEE HELPPP ASAPP!!!!

Answers

Answer:

i gauth math NYU po meron yan

Question is on picture attached

Answers

Answer: a. they are alternate exterior angles.

b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.

14x + 2 = 9 + 13x

14x + 2 = 13x + 9

14x = 13x + 9 - 2

14x = 13x + 7

14x = 7 + 13x

14x - 13x = 7

x = 7

To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7

100 = 100

So, we are correct.

Would appreciate brainly <3

When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.

Answers

Answer:

108$.

Step-by-step explanation:

Solve for g.

7 − –3g = 13

g =

Answers

Answer: g=2

Step-by-step explanation:

Remove the parentheses

7- (-3)g=13

Move the constant to the right

7+3g=13

Calculate

3g=13-7

Divide both sides

39=6

Answer:

g=2

help me find a please

Answers

Answer:

Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36

two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points

Answers

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m

How to find derivative of a curved graph.

Answers

Visually, derivative of a function f at x=a represents the slope of the curve at the point x=a . Derivative As Slope: The slope of tangent line shown represents the value of the derivative of the curved function at the point x . Sometimes f has a derivative at most, but not all, points of its domain.

Graph this inequality:
y ≤ 1/4x

Answers

Graph this inequality:

write an equation in slope intercept form of the line

Answers

Answer:

4x + 4

Step-by-step explanation:

(4, 5) and (8, 6) are points on the line.

Using delta method:

4 to 8 = +4

5 to 6 = +1

Slope = 4

The line intercepts the y-axis at (0, 4)

Y-int = 4

Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?

Answers

72ft squared is the answer

Answer:

Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?

Final Answer: The area of the rug is 1.6[tex]ft^{2}[/tex] .

Step-by-step explanation:

What is Ask? - What is the area of the rug?

Given - 8 feet long by 5 feet wide

Operation - Divide

Solution:

You can use Partial quotient or Algorithm or Box method dividing any number.

5 ÷ 8 = 1.3

But why 1.6?

Because it is the decimal form of it and it is an improper fraction.

[tex]\frac{8}{5}[/tex] OR 1.6 OR [tex]1\frac{3}{5}[/tex]

Final Answer: 1.6 [tex]ft^{2}[/tex] is the area of the rug.

Hope it helps

#LetStudy

HELPPP PLEASEEEE………..

Answers

Answer:

the answer is 54°......

Select the correct answer.

Answers

Answer:

C

Step-by-step explanation:

ΔFDC and ΔFBA are similar          AA Similarity

GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me

Answers

Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

which of these government programs encourage hygiene practices
A. transportation regulations to prevent overcrowding
B. vaccination programs
C. cancer research
D. anti-obesity campaigns

Answers

Government programs help to protect citizens from possible hazards

exposure.

The government program that encourage hygiene practices is A.

Transportation regulations to prevent overcrowding.

Reasons:

Hygiene practices which include mainly cleanliness measures, meant to

keep a person healthy as well as to prevent contraction of disease.

Government programs such as stipulating social distancing rules reduces

airborne diseases, and other contagious diseases, and such programs are

useful as part of transport regulations.

Therefore, the government program that encourage hygiene practice

transport regulations to prevent overcrowding.

Learn more here:

https://brainly.com/question/10560365

tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives

Answers

Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?​

Answers

Answer:

t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar

Step-by-step explanation:

I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)

" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"

what are equivalent ratios for 5:4here are the options: 5:4 10:4 15:12 10:8 5:8 4:5

Answers

15:12 is the equivalent ratio of 5:4

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