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Anettt [7]
3 years ago
8

The graph below shows the relationship between two variables.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

The graph adequately represents the following case

"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."

Step-by-step explanation:

To solve the above-mentioned problems we need to filter the results through analysing the options given-

We have to keep in mind that-

  1. For an increase in value/quantity- the graph would be on an upswing
  2. For decrease in value/quantity- The graph would be in declining mode
  3. For constant value- horizontal graph line parallel to the x-axis

Now going through the options-

option 1:-

David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.

option 2:-

test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.

option 3:-

After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.

option 4:-

Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph

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coldgirl [10]

<u>Answers:</u>

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The Kissing Number Problem: It is a sphere packing problem that includes spheres. Group spheres are packed in space or region has kissing numbers. The kissing numbers are the number of spheres touched by a sphere.  

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7 0
3 years ago
Solve the equation -x/6greaterthanequalto3
enot [183]

Answer (depending if the fraction is positive or negative):

  1. x ≥ 18
  2. x ≤ -18

Step-by-step explanation:

If the fraction is positive:

  1. Write it out: \frac{x}{6} \geq 3  
  2. Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

  1. Write it out: -\frac{x}{6} \geq 3  
  2. Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

3 0
3 years ago
A farmer grows two types of grain in his fields. He has a seed budget of $17,000.00 and has spent $9,200.00 to plant wheat seed
Zarrin [17]
Okay so first you have to subtract 17000 from 9200 to see how much money you have left to spend. Then once you get that number, which is 7800, you have to see what's that maximum number of acres that you can get. So you divide 7800 from 41.00 and you can get your answer. Your answer will be 190 acres. 190 acres is the highest you can go without going over budget.
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3 years ago
9. A contestant on a game show must guess the price of a new car. The contestant will
iren [92.7K]

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

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3 years ago
There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t
Harrizon [31]
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B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
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The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
P = 112x + 8\\&#10;176 = 112x + 8\\&#10;112x =  168&#10;x = 1.5

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet 
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).
</span>
3 0
3 years ago
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