This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate of change for this function for the interval from x=2 to x=4?

Answers

Answer 1

27.5 is the answer

For this case we know that the average rate of change of a function is given by this general expression:

m = f(b) - f(a)/ b-a

For this special case from the info in the table we have:

a =2 , f(2) = 9

a =4 , f(4) = 64

And replacing the data with the average rate formula we got:

m = 64 - 9/4 - 2 = 27.5

And then the best answer for this case would be:

27.5

The exponential function is a mathematical function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a positive value of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as matrices and Lie algebras.

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Related Questions

Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).

Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).

Answers

1. y = -3x - 1
2. y = -3/1x + 16

Steps are on paper. If you need more explanation, you can comment.

3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.

Answers

Answer:

320 cm sq

Step-by-step explanation:

Find the slope!! Please

Answers

Answer:

The slope is -(1/3)

Step-by-step explanation:

For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).

This observation yields the following equation for your line:

f(x) = y = -(1/3)x + 1

Therefore, the slope is -(1/3).

HELP ANSWER FAST!!!!

Answers

Answer:D=5,6,7,8 R=5,6,7,8  fuction= yes

Step-by-step explanation:

D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction

D = 5,6,7,8
R = 5,6,7,8
Function? Yes

Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm

Answers

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Solve the two-step inequality and match the answer to the graph

Answers

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Find the scale factor of the small triangle to the large triangle.

Answers

Answer:

scale factor is: 2.25

Step-by-step explanation:

Cole rides his bike to the ballfield starting from home. This
describes his trip:
A. Rides quickly downhill toward the field
B. Stops to wait for a friend
C. Rides slowly uphill toward the field
Drag a segment to each box to show the shape of the graph of
Cole's distance from home for each interval of time.
Describe the lines to chose as line 1 2 etc please

Answers

Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.​

Answers

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?

Answers

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?

Answers

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and solve it to describe the range of possible numbers

Answers

Answer:

[tex]3x-10<5\\x<5[/tex]

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

[tex]3x-10<5[/tex]

To find the range of possible values, we must solve the inequality and isolate x.

[tex]3x-10<5[/tex]

Add 10 to both sides

[tex]3x-10+10<5+10\\3x<15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]

I hope this helps!

I really need hel, please help​

Answers

Answer:

1. 3(x-4)-9= 3

  3x-12-9=3

  3x-21=3

  3x=24

  x=8

2. x=6

3. x=8

4. x=2

Answer:

Miscellaneous

Step-by-step explanation:

1. Distribute and simplify to get: 3x-12-9 = -3

Then combine like terms to get 3x-21 = -3

Add 21 on both side sto get 3x = 18

divide 3 on both sides to get x=6

2. x+5 = 11

Subtract 5 from both sides to get x = 6

3. 2x-3 = 13

Add 3 to both sides to get 2x = 16

Divide 2 from both sides to get x =8

4. 4(x+2) = 16

Distribute to get 4x+8 = 16

Subtract 8 from both sides to get 4x = 8

Divide 4 from both sides to get x=2

what is 5/6 -3/8 ........

Answers

Answer:

11 over 24  = 0.458

Step-by-step explanation:

I need the point and the slope Y-5=1/2(x+3)

Answers

Answer: Slope: 1/2 Point: (0, 3/2)

Step-by-step explanation:

2. What is 45% of 90?
O A. 40.5
OB 45
O 0.50
OD 200

Answers

Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

Using ABC, identify the ratio for sine of C​

Answers

Answer:

BA / AC

Step-by-step explanation:

Given the triangle ABC;

To obtain the Sin C

Defining the attached triangle with respect to C:

Sine = opposite / hypotenus

Sin C = BA / AC

Hence, the ratio of sinC is BA /AC

25 over 50 as a reduced fraction

Answers

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

list the 3 square number that end with the digit 9​

Answers

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

need help please will mark you brainliests please give reason to ​

Answers

Answer:

angle BAD = 180 -2x

angle BCD = x                                                    given

angle BCD is an inscribed angle                      

angle DOB = 2 (angle BCD)                              

angle BAD = 180 -angle DOB                           2 tangent theorem      

Step-by-step explanation:

Answer:

[tex] m\angle BAD= (180 - 2x)\degree [/tex]

Step-by-step explanation:

[tex] m\widehat {BD} =2\times m\angle BCD[/tex]

(By inscribed angle theorem)

[tex] m\widehat {BD} =2x\degree [/tex]

[tex] m\widehat {BCD} =360\degree - m\widehat {BD}[/tex]

(By arc sum property of a circle)

[tex] m\widehat {BCD} =360\degree - 2x\degree [/tex]

[tex] m\angle BAD=\frac{1}{2} (m\widehat {BCD}-m\widehat {BD}) [/tex]

(by property of intersecting tangents outside of the circle)

[tex] m\angle BAD=\frac{1}{2} [(360\degree - 2x\degree) -2x\degree] [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 2x\degree -2x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 4x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} \times 2(180\degree - 2x\degree) [/tex]

[tex] m\angle BAD= (180 - 2x) \degree [/tex]

What kind of clues do fossils tell about animals that lived long ago?

Answers

Answer:

if they start to brown

Step-by-step explanation: They are white if they are new brown if old

Answer:

By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.

Step-by-step explanation:

The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8

Answers

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

The triangle whose sides are √13, 6, and 7, is a right triangle.

What is the right triangle?

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

Pythagorean Theorem :

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

How to solve this problem?

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

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HELP URGENT PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

y=69*43

Step-by-step explanation:

this is not correct because the words are writen

in the pond were 240 little fish and 90 big fish. what was the ratio of big fish to little fish

Answers

Answer:

266.66666667%

Step-by-step explanation:

240 / 90 = 266.666666666667%

a(9b+13) in expanded form

Answers

(A•9B)+(A•13) hope this helps

What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)
a 6 and 8 over 9
b 6 and 4 over 9
c 6 and 2 over 3
d 6 and 1 over 3

Answers

Answer: It equals 8.

Step-by-step explanation:

Find a possible solution to the equation cos(x+2) = sin(3x)

A. x=0.5
B. x=1
C. x=22
D. x=44

Answers

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

The answer to your question is c!

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as

Answers

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

1. Add the same number to both the numerator and the denominator of
the fraction 7/17, to change it to 3/5.​

Answers

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

Omg please help it is due in 21 minutes please help me!!!!!

Answers

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

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