MATHEMATICS MIDDLE SCHOOL

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?Enter your answer in the box.

Answers

Answer 1
Answer:

The average rate of change of function is 72.

SOLUTION:

Given that, we have to find the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4  

Use the slope formula to find the average rate of change:  

\begin{array}{l}{m=(y 2-y 1)/(x 2-x 1)} \n\n {m=(f(4)-f(2))/(4-2)} \n\n {m=(f(4)-f(2))/(2)}\end{array}

To simplify this, we need to find values of f ( 4 ) and f ( 2 ) :  

\begin{array}{l}{f(4)=2 x(3)^(4)=2(81)=162} \n\n {f(2)=2(3)^(2)=2(9)=18} \n\n {m=(162-18)/(2)} \n\n {m=(144)/(2)} \n\n {m=72}\end{array}

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A regulation tennis court measures 78 feet long by 36 feet wide.Brad is making a scale drawing of the tennis court using a scale of 1 foot = 1/2 inch.How long in inches should the length of the tennis court be in Brad's drawing?

Answers

39 by 18 inches will do
Half of 78 is 39 and half of 36 is 18
^___^

The dimensions of a solid object are measured in centimeters, determine the correct units for the volume of the object.square centimeters
centimeters
cubic centimeters
quadruple centimeters

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Dimension of a solid object in cm

As we know that volume needs three dimensions.

So, while calculating volume

It becomes

Cm× cm × cm = cubic cm.

So, unit of volume og any object is cubic centimeters.

Hence, third option is correct.
You write it in cubic centimetres, because you multiply 3 values of numbers. :D

14. Harry needs to buy hamburgers and hot dogs for a picnic. He has only $41.00 to spend and must buy AT LEAST 98hamburgers or hot dogs. A store charges $.50 per hamburger and $0.25 per hot dog. Which of the following is a
possible way Harry might buy the hamburgers and hot dogs?
69 hamburgers and 28 hot dogs
64 hamburgers and 35 hot dogs
66 hamburgers and 33 hot dogs
78 hamburgers and 20 hot dogs

Answers

The possible way Harry buy the hamburgers and hot dogs is 66 hamburger and 32 hot dogs

What is Linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

Given,

Price of hamburger = $0.50

Price of hot dog = $0.25

Consider,

Number of hamburger is x and number of hot dog is y

Then,

x + y = 98

y  = 98 - x

0.50x +0.25y = 41

Substitute the value of y in this equation

0.50x + 0.25(98 - x) =41

0.50x +24.5 -0.25x = 41

0.25x + 24.5 = 41

0.25x =16.5

x =  (16.5)/(0.25) =66

x + y = 98

Substitute the value of x

66 + y =98

y = 98 - 66

y = 32

Hence, the possible way Harry buy the hamburgers and hot dogs is 66 hamburger and 32 hot dogs

Learn more about Linear equation here

brainly.com/question/11897796

#SPJ2

Answer:

B: 64 hamburgers and 35 hot dogs

Step-by-step explanation:

64 x . 5 = 32 and 35 x .25 = 8.75

Add 32 + 8.75 = 40.75

Mr.and Mrs.Baker place 12-inch rulers end- to-end along the entire length of a rug.they each use 3rulers.about how many feet long is the rug?

Answers

There are 2 people measuring, each using 3 rulers.

2 times 3 equals 6.

12in. times 6 rulers equals 72 in.

12 in. equals 1 foot so 72/12 equals 6 feet. 

The rug is around 6 feet long. 
The equation is [(3•2)•12]/12. It is 3 times 2 because each Baker uses 3 rulers. It is then times 12 because each ruler is 12 inches. It is then divided by 12 because it says to label in feet and there are 12 inches in a foot. Remember to label feet with your answer.

The base of a rectangular prism has a length of 13 inches and a width of 1/2 inch. The volume of the prism is less than 65 cubic inches. Find all possible heights of the prism. Show your work

Answers

Theoretically if it is less than 65 cubic inches, it could be any number between 1-10. 
13 times 1/2 = 6.5
10 times 6.5 = 65
Therefore any number less than 10 but higher than 1 completes the equation.

pierre parents ordered some pizzas for a party 4.5 were eaten at the party there were at least 5 1\2 whole pizzas left over how many pizzas did pierres parents order

Answers

4.5+5.5=10 Piere parents ordered 10 pizzas
10 pizzas were ordered by Pierre's parents because 5 1/5 + 4.5 = 10. I hope that helped you!
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