Determine the average rate of change of f (x) = x² - 10x + 5 over the interval [-4, 4].
=
-

Answers

Answer 1

Answer:

f ( x ) = ( x - 5 ) ² - 20

Step-by-step explanation:

1- Add the same value to both sides

f ( x ) = x ² - 10x + 5

2- Add 25 to the expression

f ( x ) + ? = x ² - 10x + ? + 5

3- Add 25 to the left-hand side

f ( x ) + ? = x ² - 10x + 25 + 5

4- Factor the expression

f ( x ) + 25 = x ² - 10x + 25 + 5

5- Move the constant to the right

f ( x ) + 25 = ( x - 5 ) ² + 5

6- Calculate

f ( x ) = ( x - 5) ² + 5 - 25

It will help me a lot if you count me as brainlist anyways good luck!


Related Questions

The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to 17 years, given the household’s annual income, x.

Approximately how much would it cost to raise a child from birth to 17 years in a household with an annual income of $64,000?
A )$209,619
B )$186,302
C $164,219
d) $99,200

Answers

Answer:

A) $209,619

Step-by-step explanation:

y = 1.55x + 110,419

y = 1.55(64,000) + 110,419

y = 99,200 + 110,419

y = 209,619

Answer:

A) $209,619

y = 1.55x + 110,419

y = 1.55 (64,000) + 110,419

y = 99,220 + 110,419

y = 209,619

Step-by-step explanation:

The answer is letter A.

Solve y^2= 49 , where y is a real number
Simplify your answer as much as possible

Answers

[tex] {y}^{2} = 49[/tex]

Move the square to the right-hand side and convert it to underoot

[tex]y = \sqrt{49} [/tex]

Calculate the root of 49

[tex]y = 7 \:or -7[/tex]

Answer:

y = +7 or -7

Step-by-step explanation:

y^2 = 49

square rooting both sides

y = √49

y = +7 or -7

Explain how y=|x+3|-6 is translated from y=|x|

Answers

Answer:

go down 6 units

go left 3 units

Step-by-step explanation:

+3 inside the absolute value bar means go left

-6 mean moving down

CAN SOMEONE HELP ME WITH THIS?? ILL GIVE YOU BRAINLIEST

Answers

Answer:

24 units

Step-by-step explanation:

Note that BC is one side of the square. (Vertices are in order ABCD)

So, as a square has four equal sides, the perimeter is 4 times the length of BC.

We're given B is at (-2, 5) and C is at (4, 5). So, BC = 6 units.

So, the perimeter of ABCD is 6 * 4 = 24 units.

The equation c= 25+200 can be used to find c

Answers

Answer:

225

Step-by-step explanation:

Answer: c=225
Explanation: 25+200=225

What are 3 ratio equivalent to 5/15

Answers

Answer:

1 : 3, 3 : 9, and 6 : 18

Step-by-step explanation:

Slope Intercept Form Calculator: Greater Than

Percentage Difference Calculator: Buoyancy C

Inch To Centimeter Calculator: Surface Area Of

Chemical Calculator: Error Function Calculation

Answer:

1 : 3, 2 : 6, and 3 : 9

Step-by-step explanation:

In the fraction 5/15, 5 is equivalent to one-third of 15. That means we need ratios with the second number being  3 times greater than the first. For example, 3 is 3  times greater than one, 6 is 3  times greater than 2, and 9 is  3  times greater than 3.

What is an equation of the line that passes through the points (-2, 7) and (1, -8)

Answers

1. using point-slope formula:

(y2-y1)/(x2-x1)=

(-8-7)/(1-(-2))=

-15/3=

-5

The slope is -5

The equations will be:

y-7=-5(x+2)=

y=-5x-3

RECRUITING Emily gets paid to recruit people to join an email list at work. If she signs up 5 friends and they all sign up 5 more friends, the function y = 5x represents the number of people on the email list after so many cycles. Select all the key features that apply to y = 5x.

Answers

The number of people on the email list after so many cycles is given by y = 5x.

Linear equation

A linear equation is in the form

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the number of people on the email list after x cycles. Hence, it is given by:

y = 5x

The number of people on the email list after so many cycles is given by y = 5x.

Find out more on Linear equation at: https://brainly.com/question/13763238

PLEASE HELP! I have a picture of the question below :)

Answers

3. ∠1+∠2=180° and ∠2+∠3=180°

4. they are supplementary

5. ∠1+∠2=180°=∠2+∠3

6. ∠1+∠2=180°=∠2+∠3

∠2 are same in both side so ∠1=180°-∠2 =∠3=180°-∠2

7.

Can someone tell me the ans pls

Answers

Answer:

2 : 5

7

56/7 = 8

8x2= 16

8x5=40

40 + 16 = 56

Basel get $40.00

The area of the triangle is 2/25 and the height is 1/5ft, what is the length of the base?

Answers

4/5 or 0.8 is the length of base

If $12,000 is invested at 4.5% for 20 years, find the future value if the
Interest is compounded…
Annually 3a)28,940.57
Semiannually 3b)
Quarterly 3c)_________
Monthly 3d)29,456.60
Continuously 3e)_________

Answers

9262816279282628727277272

in a survey of 200 workers, 130 drink coca-cola and 100 drink fanta. how many workers drink at least one of coca-cola and fanta.​

Answers

The number of workers that drink at least one of coca-cola and fanta is = 30.

Calculation using Venn diagram

The total number of workers under survey = 200

The number of workers that drink only coca cola = 130 - X

The number of workers that drink fanta = 100 - X

The number of workers that drank at least one drink = X

To calculate for x;

130 - X + X + 100 - X = 200

Being like terms together,

-X = 200 - 130 -100

-X = 200 - 230

-X = - 30

X = 30

Therefore, the number of workers that drink at least one of coca-cola and fanta is = 30

Learn more about Venn diagram here:

https://brainly.com/question/9384416


Convert. 5 mi into yards


Answers

Answer:

8800 yards

Step-by-step explanation:

1 mile contains 1760 yards so 1760·8=8800

or..

1760x

expression: the product of 4 and n.

A. 4/n
B. 4 + n
C. 4 – n
D. 4n

Answers

Answer:

D

product of 4 and n is the same as 4× n

and it is equal to 4n

I don’t get this can someone pls help:

LCM of 28 and 8??

Answers

Answer:

LCM= 56

Step-by-step explanation:

Multiplies of 8- 8, 16, 24, 32, 40, 48, 56, 64, 72

Multiplies of 28- 28, 56, 84, 112

Then, you look at the numbers that are the same in both. In some cases, there will be more than one that shows up (but not in this case) and all you have to do is find the least common multiple or LCM.

Rahmi bought 1 pair of jeans and 2 T-shirts. How much did rahmi spend? Write equations to solve. Use a letter to represent the unknown quantity

Answers

Answer:

1x + 2y = (The answer/money spent)

Step-by-step explanation:

Which graph represents the solution to the compound inequality?
-2x + 4 = 8 and -2x + 4 >-6

Answers

Answer:

The top one!

Step-by-step explanation:

From this picture that I sent, you can see that the red line would be solid because it is less than or greater than, which the blue one isn't solid because it is just greater than.  I felt like it would've been easier to explain it with an image than with words.

Use intercepts to graph the linear equation -2x+6y=18 .

Answers

Answer: (0,3) and (-9,0)
————————
-2(0) + 6y = 18
6y = 18
y = 3 so…(0,3)
————————
-2x + 6(0) = 18
-2x = 18
x = -9 so.. (-9,0)

T minutes ,N people with the formula = t= 5n^2 +15
a)When there is four people what's the minutes
b) when the time is 2hours 20mins how many people

Answers

Answer:

a) n = 4 , t = ?

[tex]t = 5 {n}^{2} + 15 \\ \\ t = 5 {(4)}^{2} + 15 \\ \\ t = 5(16) + 15 \\ \\ t = 80 + 15 \\ \\ t = 95 \: min[/tex]

__o__o__

b) n = ? ,

t = 2hours 20mins ––> t = (2× 60) mins + 20 mins

t = 120 + 20 = 140 mins

so; time in the mins = 140 mins

[tex]t = 5 {n}^{2} + 15 \\ \\ 140 = 5 {n}^{2} + 15 \\ \\ 5 {n}^{2} = 140 - 15 \\ \\ 5 {n}^{2} = 125 \\ \\ {n}^{2} = \frac{125}{5} \\ \\ {n}^{2} = 25 \\ \\ n = 5[/tex]

so ; five people in 2hours 20mins

Choose Yes or No to tell if the fraction 5 8 will make each equation true. 8 15 − □ = 3 7 Choose... □ − 5 16 = 5 8 Choose... 7 8 − 1 2 = □ Choose... 3 4 − 1 8 = □ Choose...

Answers

Answer:

no no no yes

Step-by-step explanation:

i got it on my test and i was correct

PLS HELP ASAP

Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?

3 milk bottles, 1 banana peel, 6 newspapers, 3 soda cans, 7 apple cores

A. 60%
B. 12%
C. 45%
D. 100%

Answers

All I can say is it’s not B or C

The percentage of items that can be recycled is 12%

If the circumference of a circle is 43.4 cm,
then what is the diameter? Use 3.1 for n.

Answers

Answer:

the diameter is 14cm

Step-by-step explanation:

to get the circumference of a circle you would need to times the diameter (d) by pi or in this case n which is 3.1

this result is 43.4cm

now to figure out the diameter we would have to reverse this so the equation would be

d=43.4/n

which is the same as d= 43.4/3.1

the result of this is d= 14

so the diameter is 14cm.

deserving of brainliest?

if v varies directly as w and v=8, when w=1/2, find the equation that relates v and w

Answers

Answer:

v=16w

Step-by-step explanation:

v=16w

8=16(1/2)

8=8✔

Someone help me pls.

Answers

Answer:

Large bottle

Step-by-step explanation:

£1.92-£1.26

£0.66

Large bottle 1.92£-1.26£=0.66£

Hope it helped!!

How many ways can a committee of 5 be selected from a club with 10 members?

Answers

Answer:

252

Step-by-step explanation:

I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.

I NEED HELP I DONT UNDERSTAND

Answers

Answer:

i have no idea, Im very much sorry

Step-by-step explanation:

I need help please can’t find it

Answers

Answer:

Step-by-step explanation:

log(7)6+log(7)2^3

log(7)6+log(7)8

log(7)(8*6)

log(7)48 = > D is the correct answer.

I can’t figure this out

Answers

Answer: 2.2= 11/5 or 1 1/5

What’s the correct answer for this question?

Answers

Answer:

1. 6 pounds and 0 ounces

2. 344 minutes

3. 5.25 gallons

4. 504 hours

Step-by-step explanation:

1. 1 pound is equal to 16 ounces so you will divide 96 by 16 and you should get 6.

2. There are 60 minutes in a hour so you will multiply 5 by 60 to get 300 and 44 to 300 to get 344 minutes.

3. There are 16 cups in a gallon so you will divide 84 by 16 to get 5.25.

4. There are 24 hours in and 21 days in 3 weeks so you will multiply 24 times 21 and you will get 504.

Hope this helps!

Other Questions
PLEASE HELP!!!!!!!!!! Please answer and hurry. Last one. can someone please help me with this Here are all the ways to make 5 except for one. Which one is missing?5 + 0 = 52 + 3 = 54 + 1 = 53 + 2 = 50 + 5 = 5 Which of the following is an accurate statement of the relationships within this cladogram? The image depicts a cladogram with numbered and lettered branches. The image includes clades one, three, and seven on one fork of the tree, and clades two and four on the other. From clade one moving up the tree, the first fork is clade two which ends in organism group D. From clade two, clade five diverges ending in organism group C. Clade one continues up the tree, ending in organism group A. Toward the end of clade one, clade four diverges, ending in organism group B. On the remaining branch of the tree, moving upward from clade one, clade three diverges, ending in organism group E. From clade three, clade six diverges ending in organism group F. Clade seven diverges from the main branch, ending in organism group G, and the main branch ends in organism group H. Clades A and C are more closely related than clades A and D. Clade 1 is ancestral to all the other clades. Clades 3 and 7 are more directly related than clades 3 and 6. Clades 4 and 5 are ancestral to clades 1 and 2. Which analogy below best describes what it's like for a telescope to look up through the atmosphere?a. looking through a dark tunnel to see the light at the other endb. looking at a bug through a microscopec. looking toward the surface of a swimming pool from underwaterd. looking down in the ocean when you are snorkeling on the surface What physical property of visible light was Herschel observing when he discovered infrared waves?a. densityb. amplitudec. wavelengthd. temperature The distance from the Sun where ice and gases become prevalent on a planet's surface relative to liquid water is defined as the ... A. frost line. B. neutrino line. C. liquid line. D. positron line. write the equation of a line that passes through the points (5,-9) and (-3,6) What is the value of u? Use a linear equation to solve the word problem.Two truck rental companies have different rates. V-Haul has a base charge of $75.00 , plus $0.50 per mile. W-Haul has a base charge of $69.10, plus $0.55 per mile. For how many miles would these two companies charge the same amount?If a driver drives miles___________, those two companies would charge the same amount of money. Quin la muchacha que habla francs? David drove 870 miles in 12 hours. At what rate did David drive per hour? Can someone pls answer this for me Ill mark brainlist if its correct :((( A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph.Which equation most closely represents the line depicted in the graph?A. f(x) = 10x + 4B. f(x) = 15/2x - 20C. f(x) = 10x 4D. f(x) = 2/15x - 20 maya is driving 120 miles to her grandmothers house.she drivs 35% of the distance before stopping for lunch. how far does she drive before stoppping for lunch What does he NOT mention doing to relax?watch TVexerciseplay musicread what is called the muscle which found in large intestine that pushes stool to the rectum? heyyyyyy this once again I have to make 3 newspaper articles regarding the book "The Wednesday Wars". I currently have 2 of the articles from the book written down and I need help finding the name of the third one.1. Holling Hoodhood as Ariel the Fairy Soars Onstage to Rescue His Potent Master2. Local Hero Holling Hoodhood Soars Across Intersection To Rescue Sister3. ???