Determine the greatest common factor of the given expressions.

Which of these graphs represent a function?

melomori [17]

Answer:

C.)

Step-by-step explanation:

There are multiple technical ways to explain this but the best one that works for me is the "vertical line test" can be used to find a function or non function. All you have to do is position your pencil vertically, place it to the far left of the graph drag it horizontally across to the right side of the graph. If your pencil is making contact with two lines at one time, it is NOT a function. Hopefully this makes sense.

7 0

3 years ago

[100 Points] George and Carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They tr

Andreas93 [3]

Ussed = x
biked = 75 + x

total trip = 325 = x + (75 + x)
325 = 75 + 2x
250 = 2x
x = 125

biked = 75 + x = 75 + 125 = 200 km

4 0

3 years ago

Read 2 more answers

The number of Apple iPods sold in 2009 was 54.13 million. That number decreased approximately linearly to 26.38 million iPods so

AleksandrR [38]

Answer:

$A(t) = -6.9375t + 81.88$ is the amount, in millions, for the number of Apple iPods sold in t years after 2005.

Step-by-step explanation:

Linear function:

A linear function has the following function:

$y = mx + b$

In which m is the slope(the value that y changes by when x changes by 1) and b is the y-intercept(the initial value of the output).

Finding the value in 2005:

This is b.

The number of Apple iPods sold in 2009 was 54.13 million. That number decreased approximately linearly to 26.38 million iPods sold in 2013.

So in 4 years, it decreased from 54.13 - 26.38 = 27.75 million.

So the value in 2005 should also be 27.75 million more than in 2009, that is 54.13 + 27.75 = 81.88. So

$y = mx + 81.88$

Using A for y and t for x

$A(t) = mt + 81.88$

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

In 4 years, the amount decrease by 27.75 million. So

$m = -\frac{27.75}{4} = -6.9375$

So

$A(t) = -6.9375t + 81.88$ is the amount, in millions, for the number of Apple iPods sold in t years after 2005.

6 0

3 years ago

-4х + 5y=— 28 4x – 3y = 20

ZanzabumX [31]

I hope it's correct and it helps I don't know how to explain it lol

3 0

3 years ago

The two hot-air balloons in the drawing are 48.2 and 61.0 m above the ground. A person in the left balloon observes that the rig

serious [3.7K]

The horizontal distance between the two balloons is 53.8 meters.

Explanation

According to the below diagram, A and B are the positions of two balloons which are 48.2 meter and 61.0 meter above the ground respectively.

Horizontal distance between two balloons is AC, which is $x$ meter.

A person in the left balloon observes that the right balloon is 13.38° above the horizontal. That means, ∠BAC = 13.38°

According to the diagram, $BC= 61.0-48.2 = 12.8 meter$

Now in right angle triangle ABC.....

$tan(13.38)=\frac{BC}{AC}\\ \\ tan(13.38)= \frac{12.8}{x} \\ \\ x= \frac{12.8}{tan(13.38)}=53.8$

So, the horizontal distance between the two balloons is 53.8 meters.

5 0

3 years ago