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mestny [16]
3 years ago
15

During 30 minutes on the treadmill, LaToya burned 20 calories per minute. What is the rate of change of the function that repres

ents this situation?
0 10 calories per minute
0 20 calories per minute
0 30 calories per minute
0 50 calories per minute
Mathematics
1 answer:
inn [45]3 years ago
4 0

The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.

\

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defon
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4

Now we can say
2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7
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5 0
3 years ago
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-17+ 1/4 x + 1/4 x + 31 = 24
wlad13 [49]
<h2><u>Answer:</u></h2><h2><u></u>\boxed{x=20}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>
  • \frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x

<em>  - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

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<em />

<h3>2.) Add −17 and 31:</h3>
  • -17+31=14

<em>  - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>

  • <u />14+\frac{1}{2}x=24<u />

<h3>3.) Subtract 14 from both sides:</h3>
  • 14-14= Cancels Out
  • 24-14=10

<em>  - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>

<u>Equation at the end of Step 3:</u>

  • <u />\frac{1}{2}x=10<u />

<h3>4.) Multiply both sides by 2:</h3>
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  • <em />10<em> </em>× 2=20

<em>  - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>

<em></em>

______________________________

4 0
3 years ago
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klio [65]

Answer:

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Step-by-step explanation:

The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system

Let us use this note to solve the question

From the given figure

∵ The nonlinear system of equations represented by two curves and a circle

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∴ The number of the points of intersection is 4

→ By using the note above

∵ The number of intersection points equal to the number of solutions

∴ The number of solutions is 4

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