F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?

Answers

Answer 1

Answer: -3

Step-by-step explanation:

The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.

a=-2

b=-1

f(b)=f(-1)=(-1)²+10=11

f(a)=f(-2)=(-2)²+10=14

With our values listed, all he have to do is to plug them in.

[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]


Related Questions

Solve for x.

−6≥10−8x

Enter your answer as an inequality.

Answers

Answer:

x≥2

Step-by-step explanation:

-6≥10-8x

+6      +6

= 0≥16-8x

+8x    +8x

= 8x≥16

/8       /8

= x≥2

Answer:

2≤x

Step-by-step explanation:

−6≥10−8x

Subtract 10 from each side

−6-10≥10-10−8x

−16≥−8x

Divide each side by -8, remembering to flip the inequality

-16/-8 ≤-8x/-8

2 ≤x

18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<

Answers

Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131

Answers

Subtract 1:

131-1 =130

Divide by 2:

130/2 = 65

First number is 65

For the second number take the first number and add the 1 that you originally subtracted:

Second number : 65 + 1 = 66

The numbers are 65 + 66 = 131

HELP!!!
Solve for x given that CE = 36.
Show your work

Answers

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)

Answers

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds

what does X equal to ?

Answers

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

In this equation x=7

Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
​due today

Answers

The answer is f(x)=1/2x+25

Please help will mark brainliest ​

Answers

Answer:

Klm=(k+1)m -(m+1)k

Klm=km+m -mk-k

Klm=m-k

Which is f(6) for the quadratic function graphed?

-2
-0.5
1.5
4

Answers

Answer:

f(6) = 4

Step-by-step explanation:

We want the value of the function when x =6

Go to where x=6 then go up to when you hit the blue line then find the y value

f(6) = 4

15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.

Answers

I'm sorry about the confusion, but what is the question you're asking?

I would love to help though!

Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?

Answers

Answer:

a total of 8 outfits

Step-by-step explanation:

shoes: L1, L2

shirts: S1, S2

pants: P1, P2

1: S1, P1, L1

2: S1, P1, L2

3: S1, P2, L1

4: S1, P2, L2

5: S2, P1, L1

6: S2, P1, L2

7: S2, P2, L1

8: S2, P2, L2

I hope that makes sense, since I couldnt figure out how to show the diagram.

8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.

Answers

Answer:

x-.6=1.5

Step-by-step explanation:

4-1.5=2.5 2.5/.6 is approximately 4

Ten Points For First To Answer Correctly

34 of your books are fiction. 23 of those are historical fiction.

What fraction of your books is historical fiction?

A. 3/12

B. 1/12

C. 5/7

D. 1/2


Answers

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?

Answers

Answer:

2.45 L in a week

Step-by-step explanation:

First find out how many ml he drinks in a week

350 mL * 7 days

2450 mL in a week

We know that 1000 mL = 1 L

2450 mL * 1 L /1000 mL = 2.45 L in a week

Answer:

2.450 litres.

Step-by-step explanation:

The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml

please need help I will be MARKING as BRIANILIST. thank you so much ​

Answers

Answer:

Step-by-step explanation:

a, as the x axis increases, so does the y axis

b, temperature outside v ice cream sales

hours studied v grade on test

c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation

Find the angle of elevation of the plane
When it reaches 300 feet above the ground.

Answers

Answer:

36.78°

Step-by-step explanation:

Use the tangent equation to find the solution.

Tangent = opposite/adjacent

tanx° = [tex]\frac{300}{400}[/tex]

x ≈ 36.78°

Answer:

X=36.87°

Step-by-step explanation:

Tanx=opposite/adjacent

Tanx =300/400

Tanx=0.75

X=tan-¹(inverse)0.75

X=36.87°

What is the value of x?

Answers

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

Answer:

x=30

Step-by-step explanation:

someone plz help me!!!!!!!!!

Answers

Answer:

2 1/4

Step-by-step explanation:

=−514+712

Rewriting our equation with parts separated

=−5−14+7+12

Solving the whole number parts

−5+7=2

Solving the fraction parts

−14+12=?

Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 4

−14+24=14

Combining the whole and fraction parts

2+14=214

Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfast

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

8(y^0) + (-7)(y^0)=________

Answers

Since anything to the power of 0 is 1.

You get

8(1)+(-7)(1)
8-7
1

Answer:

1

Step-by-step explanation:

8(y^0) + (-7)(y^0)

Remove parentheses: (a)=a

= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]

Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]

= [tex]y^{0}[/tex]

Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]

= 1

help please!!!! Geometry again!!!

Answers

Answer:

Step-by-step explanation:

1. correspording: 2&5, 1&6, 3&8, 4&7

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 3&6 4&5

alt exterior:2&7 4&5

2. correspording: 1&5, 2&6, 3&7, 4&8

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 2&8 5&5

alt exterior:1&7 4&6

Which symbol correctly compared these two fractions

Answers

The answer to the question is A

Answer:

>

Step-by-step explanation:

Put the fractions in decimal

0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6

You can also use common denominators

Where was her mistake if she made any?

Answers

I don’t think she made a mistake, I might be wrong tho

Evaluate q^2-5q+4, when q equals -2

Answers

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

What is the product?

(6 r minus 1)(negative 8 r minus 3)

negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

You have to use Distributive Laws,

[tex]a(b + c) = ab + ac[/tex]

So for this question :

[tex](6r - 1)( - 8r - 3)[/tex]

[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]

[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]

[tex] = - 48 {r}^{2} - 10r + 3[/tex]

The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.

What is an algebraic expression?

Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.

According to this question, the following expression is given:

(6r - 1) (-8r - 3)

6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3

Therefore, the product of the expression is -48r² -10r + 3

Learn more about algebra at: https://brainly.com/question/953809

#SPJ9

Use the substitution method to solve the system of equations

Answers

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65

Answers

The answer is B because 4 X 7 is 28 so 9 times 7 is 63

expand the following 3(5n + 6)

Answers

Answer:

15n+18

Step-by-step explanation:

you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*

equation working below

3×5n=15n

3×6=18

final answer:

15n+18

What is the mean of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 16

Answers

Answer:

16

Step-by-step explanation:

You first add all the numbers together,then you divide by 7 to get the mean of it

Answer:

16

Step-by-step explanation:

17, 13, 18, 20, 17, 15, 12

To find the mean, add up all the values and divide by the number of terms

(17+ 13+ 18+ 20+ 17+ 15+ 12)/7

112/7

16

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answers

Answer:

0.5m+2.50=c

Step-by-step explanation:

Just trust me brah

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