MATHEMATICS HIGH SCHOOL

Emily is 280 miles away from home. She is traveling back at a rate of 40 miles per hour. Determine which graphs and which equation represents Emily’s distance from home, D, after Emily travels h hours.

Answers

Answer 1

Answer:

The required equation for the distance is y = 280 - 40h and graph is shown below.

What is speed?

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

Distance of Emily from her home = 280 miles,

The speed of Emily of coming back = 40 miles per hour.

In h hours, the distance covered by Emily = 40h

Let the remaining distance is y,

So the equation can be written as,

y = 280 - 40h.

The graph of the equation represented below.

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Answer 2

Answer:

Answer:

-40*h+280

Step-by-step explanation:

Let s define the function f which represents Emily's distance from home

at h = 0 Emily is 280 miles away from home

so f(0)=280

as she is traveling back at a rate of 40 miles per hour

f(h)=-40*h+280

the graph is below

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Answers

Answer:

Hi,

Step-by-step explanation:

The number must be decomposed into a product of powers of prime numbers.

Study prime numbers up to 100 by heart.

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

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Answer:

Number line 4

Step-by-step explanation:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x≤54

-9x/-9≤54/-9

x≤-6

caden built a rectangular prism that has a length of 8 units a width of 3 units, and a height of 5 units. what is the volume of the prism. show your work

Answers

To calculate the volume of a prism you multiply the area of it's cross section by the length Therefore 5 x 3= 15 (Area of the rectangle) 15x8= 120 (Volume of prism)

Solutions

Caden built a rectangular prism that has a length of 8 units a width of 3 units, and a height of 5 units.To calculate the volume of the prism you have to multiply the area of it's cross section by the length.

5 x 3= 15 (Area)

15 x 8= 120 (Volume of whole prism)

What is the slope of x+3y=21

Answers

Answer:

Ang SAgot ay pukingina ka

The slope is -1/3 ..:.

A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round yanswers.