How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
Please I have a final tomorrow and I’m clueless

Answers

Answer 1

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

[tex]f(x)=9-x^2[/tex]

And we want to find the average rate of change from x = 0 to x = 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at x = 0, our function evaluates to:

[tex]f(0)=9-(0)^2=9[/tex]

So, our first point is (0, 9).

For our second endpoint at x = 3, our function evaluates to :

[tex]f(x)=9-(3)^2=0[/tex]

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

[tex]\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3[/tex]


Related Questions

15.7 is what percent of 785

Answers

Answer:

2%

Step-by-step explanation:

15.7 is 2% of 785

Hope this helps :)

A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21.09 feet 24.20 feet 37.47 feet 49.34 feet

Answers

Answer:

37.47 feets

Step-by-step explanation:

Using trigonometry:

The distance of wall from base of ladder is (x) :

Cosine θ = adjacent / hypotenus

Length of ladder = hypotenus ; x = adjacent

Cos 29.37 = x / 43

x = 43 * cos 29.37

x = 43 * 0.8714707

x = 37.473241

x = 37.47

Answer:

37.47 feet

Step-by-step explanation:

I took the test

Which best describes the triangle?​

Answers

Answer: acute and isosceles

Step-by-step explanation: Notice that the triangle shown here has no right angles and no obtuse angles, which means that all of the angles of the triangle are acute. When classifying triangles, if all of the angles of the triangle are acute, then the triangle is acute.

Now, notice that two sides of the triangle have the same length.

If two sides of a triangle have the same length,

then we say that the triangle is isosceles.

So this triangle is acute and isosceles.

it takes 2 painters 5 hours to finish painting a house. how long would it take to finish painting a house if there were 20 painters working at the same rate?

Answers

Answer:

2 2/9 hours

Step-by-step explanation:

Im pretty Sure Its Correct

20 painters will use 0.5 hours to paint the same house at the same rate it takes 2 painters 5 hours to finish the house.

Let's find how long it take:

It takes 2 painters 5 hours to finish painting a house.

For 20 painters to paint the same work at the same rate, this means the time used to conclude the work will drastically reduced.

Therefore,

if  2 painters uses 5 hours

At the same rate, 20 painters will use = 2 × 5 / 20 = 10 / 20  = 1 / 2 = 0.5 hours.

learn more on rate here: https://brainly.com/question/20718550?referrer=searchResults

Which subtraction expression does the number line model show?

Answers

The subtraction expression shows C. -4-9

pls
its
due
today
ill
give brainillest

Answers

Answer:

m>24

26>m-4

m=24

it’s the yellow one!!

Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.

Answers

900. If your formula is correct, you only have to multiply 300 by 3

For which situation is the use of approximate numbers most appropriate?
A. preparing your yearly taxes
B. ordering programs for a high school musical
C. paying a cashier for a meal at a fast food restaurant
D. the maximum number of basketball players on the field

Answers

the answer for your question is B
B.......................

Buying a car is an example of _____.

a.An immediate goal

b.A long term goal

c.A short term goal

d.A liquid goal

Answers

Answer:

C. A short term goal.

Step-by-step explanation:

This is explained to be a goal or target meant and positioned to be hit within short period of time. It is described to be a stepping stone towards a long term goal. Experts has also said that is a bridge that connects the long-term endeavours. This why on a goal standard of living, a car purchase is seen to be a short-term goal. When there are no specific guidelines, the road to your bigger goals becomes murky, this is seen because your compass is wrongly set.

A company has 2.4 times 10 to the 6th power shares of stock and 1.5 times the 10 to the 4th power shareholders. If each shareholder owned the same number of shares, how many shares would each shareholder own? Write your answer in scientific notation

Answers

Answer: 1.6 * 10² shares

Step-by-step explanation:

Number of shares company has = 2.4 * 10⁶

Number of shareholders = 1.5 * 10⁴

Number of shares each shareholder owns:

= 2.4 * 10⁶/1.5 * 10⁴

= 2.4/1.5 * 10⁶⁻⁴

= 1.6 * 10²

A player scored 5 more points than Rodger.

Answers

Answer: 4

Step-by-step explanation:

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444445444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

HURRY AND HELP ME PLEASE BRAINLESS
What is (2x - 15 / 48 + 7 =???)

Answers

Answer:

2x+107/16

Step-by-step explanation:

Answer:

I think the answer will be 2x + 107 / 16

petrol costs 99p per litre. How much would 47 litres cost?​

Answers

Step-by-step explanation:

[tex]99 \times 47 = 517 \times 9 = 4653[/tex]

A bedroom garbage can weighed 3/4of a pound. A Bathroom garbage can weighed 1/4 of a pound. Which is more?

Answers

Answer:

The bedroom garbage

Step-by-step explanation:

since the denominators are same, we can compare the numerators. 3 is larger than 1 so it would be the bedroom garbage

Answer:

3/4 of a pound

Step-by-step explanation:

3/4 of a pound is 1/4 more than half a pound. 1/4 is less then half a pound. Half a pound is 2/4 or 1/2.

The difference between two numbers is 4. If the larger number is equal to wo more than three times the smaller number. What are the two numbers

Answers

Answer:

1 and 5

Step-by-step explanation:

s = smaller number

l = larger number = 2 + 3s

2 + 3s - 1s = 4

2 + 2s = 4

2s = 2

s = 1

l = 2 + 3(1)

l = 5

What is the y-value of the solution to the following system of linear equations? Y=x+8
x+2y=1

A.-7
B.-5
C.3
D.13

Answers

Answer:

X is -5

y is 3

Step-by-step explanation:

X is -5 y is 3 why well if u break it down it’ll help give u the answer ig

If a,b and c are the sides of a triangle
where a = 6, b = 8 and c = 9
is this a right triangle ?

Answers

Answer:

No, it is not a right triangle

Step-by-step explanation:

A right triangle consists of hypotenuse, opposite and adjacent. For the sides to be a right angle, the r=square of the longest side (hypotenuse) must be equal to the sum of the square of the other two sides

Given the sides a = 6, b = 8 and c = 9

a²+ b² = c² (This equation must be satisfied)

Taking the sum of the square of a and b

6² + 8²

=  36 + 64

= 100

= 10²

Since the result is not the square of 9 which is the third side, hence the sides is not a right triangle

How many solutions exist for the system of equations below?
(3x+y=18
(3x+y=16
none
one
two
infinitely many​

Answers

Step-by-step explanation:

3x + y = 18 and 3x + y = 16

=> 18 = 3x + y = 16.

However the equality 18 = 16 is false for any real values of x and y. Hence there are no real solutions.

Answer:

A. none

Step-by-step explanation:

What is the answer to 1/2 divided by 4/5

Answers

Answer:

0.625

Step-by-step explanation:

1/2 divided by 4/5

Answer:

5/8

Step-by-step explanation:

1/2÷4/5

1/2*5/4

5/8

Mr. Miller created a graph of the number of emergency phone calls made to 9-1-1 during one week in January. Which statement describes Mr. Miller's data?

Answers

Answer:

C or D But I think it's C, But I don't know for sure.

Step-by-step explanation: It has a total of 28 'x's so 28 x 50 = 1400

1400 divided by 7 ( Cause of the one week) is 200. if I figure out what the actual answer is I will tell you. Also be sure to read the comments.

Answer: The answer is the bottom one to the left

Step-by-step Explanation:

The sum of all the X's are 28 and if you divided that by 7 it is 4, and 4 times 50 is 200. And the highest number, which is 7, minus the smallest number which is 1 will be 6 and that times 50 is 300

Jason scores 10 points for each question answered
correctly on an exam. Write an algebraic
expression for the total points he will score if he
answers n questions correctly.

Answers

Answer:

f(x) = 10n

Step-by-step explanation:

If met with questions like these, the term "for each" means to multiply. simply write an equation that multiplies n and 10. Also "f(x)" can be substituted for "y" if that is what your instructor taught you.

Jean is multiplying 6 x 39. She decides to multiply 6 x 30 first, then add on 6 x 9. What property is Jean using to solve the problem? Her procedure would look like this mathematically

Answers

Answer:

Jean would add both results to get the final result of the multiplication of 6 x 39.

Step-by-step explanation:

6 x39 = 234

if the 3 in 39 is in the tenth position, then 6 x30 = 180

the number 9 in 39 stands as just 9, so, 6 x 9 = 54

The final multiplication of 6 and 39 = 180 + 54 = 234

PLS HELP ASAP What is the positive number that is 7 times its rightmost digit?????

Answers

Answer:

71

Step-by-step explanation:

Uh-

7 is 7 times more than 1

1. Mr. Vasquez went to a restaurant with his family last weekend. He used his bank card and his bank account was debited $45. Represent the amount of money that was debited from his bank account using an integer.

Answers

Answer:

-$45

Step-by-step explanation:

INTERGER can said to represent a whole number in which this numbers can either be a positive INTERGER or a negative INTERGER. Therefore Based on the information if after using his bank card, his bank account was debited with the amount of $45 which means that the $45 that was debited will represent a NEGATIVE amount because it has lessen the amount in his bank account.

Therefore to represent the amount of $45 that was debited from his bank account using an INTERGER it will be -$45.

Simplify. -6w-3(4z-6w)-5z

Answers

Answer:

1

2

1

7

Step-by-step explanation:

Brainliest?

Answer:

-6w-3*5z-6w-5z

=12w-3*4z-5z

=12w-12z-5z

=12w-6z

Step-by-step explanation:

I have done in my opinion . It can be incorrect also so once prefer to your math teacher also.

Hello! I NEED HELP PLZ! I need ALL CORRECT answers regardless, but no pressure tho! Thank you! :)

(5 screenshots are included)

Answers

For the first one it’s c

Answer:

the graph has a steeper rate of change

the second graph

kurt has 3 pets, he gets a new pet each time he  has a bday

Step-by-step explanation:

setting 7/3 equal to whuch ratio would result in a valid proportion 9/49 18/42 49/9​

Answers

Answer:

49/9

Step-by-step explanation:

7/3 = 49/9

What do we multiply to the 7 in the numerator by to get 49?

- Well, 7. So we know the numerators have a factor of 7.

Then what do you multiply to 3 to get 9?

-This is 3.

We notice a pattern of the number multiplying itself, so the first fraction being (7/3)^2 would be 49/9

It takes Nathan 67.5 minutes to walk 4.5 miles. Determine the average time it takes for him to
walk one mile,
67.5 minutes
4.5 miles
9 minutes
15 miles

Answers

1 mile per 15 minutes

HELPPP WIL MARK BRANLIEST IF RIGHTTT

Answers

Answer:

Angle 4 and Angle 6

Step-by-step explanation:

consecutive interior angles**

I need help ASAP pls help !!

Answers

Answer: C plz brainliest

Step-by-step explanation:

Cuz if x is replaced for 646

32.7632(646) + 593.2188 = 21758.246

Since it said approximately it is 21.758

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