PLEASE HELP WILL MARK BRAINLIEST
Find the average rate of change for the function f(x) = 3^x + 4
Using the intervals of x=2 to x=5
Show ALL your work to receive credit

Answers

Answer 1

Answer:

78

Step-by-step explanation:

You use the formula

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

with a=2 and b=5 plug it in to the formula

[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]

find the values

[tex]f(5) = {3}^{5} + 4 = 247 [/tex]

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]


Related Questions

PLEASE HELPPPPP

Use the information to answer questions 14 – 17.


Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.


Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.


A.

(2.5, 15)


B.

(5, 20)


C.

(7.5, 12.5)


D.

(17.5, 5)


E.

(19, 1)

Answers

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

system of equations would be:

x + y ≤ 20

5x + 8y ≥ 120

if you solve this system you get the answer above

What is mRS?shown on the picture

Answers

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Answers

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

Learn more here: https://brainly.com/question/25613656

what is the answer for k=6x+100

Answers

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

List the first six common multiples of 6 and 9

Answers

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

Help me please with this question

Answers

Your answer is 105 my friend!

Which expression shows the distance on the number line between −3 and −10 ?

Answers

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

HELP THIS IS VERY IMPAORTANT

Answers

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3[tex]x^{2}[/tex] - 6

x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 =  6

Between which two integers does the square root of 117 lie

Answers

Answer: 10 and 11 or -11 and -10

Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

The answer to this question

Answers

Answer:

I don't know the answer sorry

3x + 6 = 126


thanks me later

The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change

Answers

Answer:

10/45 = 22.2% change in price  

Step-by-step explanation:

new-old/old

What is the charge on an object that has 1. 25 * 10 ^-17.

Answers

Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

Write the equation of the parabola with a focus of (-5,0) and directrix of x=7

Answers

Answer:

[tex]\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)[/tex]

Step-by-step explanation:

Answer:

x=(y-5)^2/14 +7/2

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts

Answers

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units

Answers

Answer:

Looks like 3 units if not try 4 units

Step-by-step explanation:

Hope this helps

The difference between two times a number and eight is twenty two. What is twice the number?

Answers

Answer: 30

Step-by-step explanation:

2x -8 = 22

2x = 22 + 8

2x = 30

Divide both sides by 2

X = 15

Twice of x

2 x X = 2 x 15 = 30

What is the name given to this shaded region

Answers

Answer:

The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.

1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?​

Answers

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

find the slope of the line that passes through the points (-2 3 )and( 4 3)​

Answers

Step-by-step explanation:

Given points,

( -2 , 3) and (4,3)

we know,

slope = y_2 - y_1 / x_2 - x_1

so according to it we got,

→ (3 - 3)/4 - (-2)

→ 0/6

hope this answer helps you dear! take care.

Hello!

To find the slope when we have 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]

Here's something for you to remember:

When the y-coordinates of two points are the same, the slope is 0.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).

Answers

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb

Answers

Answer:

the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre

Step-by-step explanation:

you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.

I just need someone to explain this to me.

Answers

Answer:

23.6

Step-by-step explanation:

Answer:

23.6 is the correct answer

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

Answers

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?

Answers

Answer:

704 students can fit in the cafeteria a day

Solve for x then y.
y+10=-1/6(x-6)

Answers

Answer:

y= -x/6-9

x= -6y-54

Step-by-step explanation:

Will mark brainiest if right Is this function linear or nonlinear?

y=3x−5

Answers

Answer: This function is linear because it forms a straight line when graphed.

Would appreciate brainly <3

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

7th grade math help...

Answers

Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

Anything number raised to the zero power is

Answers

Answer:

It is equal to 1 when raised to the zero power.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.

Look at this example:

Any number (except zero) divided by itself equals 1.

For example, 25/25 = 1,

but 25 = 5²,

so 25/25 = 5²/5²

The rule of dividing two powers with the same base is to use the same base and subtract the powers.

5²/5² = 5^(2 - 2) = 5^0

By the rule of exponents, 5²/5² = 5^0,

but we saw above that 5²/5² = 25/25 = 1, so

5^0 must equal 1.

This led to the following definition of zero exponent.

Definition:

For any number a, a^0 = 1.

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