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san4es73 [151]
2 years ago
12

What is the range & domain of the set

Mathematics
1 answer:
koban [17]2 years ago
3 0

This question is solved using range and domain concepts. Doing this, it is found that:

  • The domain is: {-15, -4, 3, 25, 32}
  • The range is: {-29, -10, 17, 21, 23}

--------------------------------------

  • Domain: In a data-set, the domain is composed by the input values.
  • Range: In a data-set, the range is composed by the output values.

--------------------------------------

  • In a set of ordered pairs, the first term in a pair represents the input and the second represents the output.
  • In this set, the inputs are: -4, 25, -15, 32, 3
  • The outputs are: 23, 17, -29, 21, -10

Thus:

  • The domain is: {-15, -4, 3, 25, 32}
  • The range is: {-29, -10, 17, 21, 23}

A similar question is given at brainly.com/question/18141895

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Graph the data. Then find and interpret the slope of the line through the points.
denpristay [2]

Answer:

4. The slope is 1.5 pages per minute

The interpretation is 1.5 pages takes 1 minute to complete

5. The slope is 135 Calorie per mile

The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile

Step-by-step explanation:

4. The given data are;

Minutes, x; 0, 1, 3, 5

Pages, y; 0, 1.5, 4.5, 7.5

The graph of the data created with MS Excel is included

From the graph, we have;

The slope is given by the rate of change of the y-values to the change in the x-values of the data

∴ Slope = Δy/Δx

The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5

The slope = 1.5 pages per minute

The interpretation of the slope is that the number of pages completed per minute is 1.5 pages

5. The given data are;

Miles, x; 0, 1, 2, 3

Calories, y; 0, 135, 270, 405

Please find attached the graph of the data created with MS Excel

From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135

The slope = 135 Calorie per mile

The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.

5 0
2 years ago
If △ABC is an isosceles triangle where AB¯≅AC¯, m∠A=(2x−20)°, and m∠B=(3x+5)°, then m∠C=__________°.
kotegsom [21]
<span><span> Let ABC be an isosceles triangle with AB = AC.  Let M denote the midpoint of BC (i.e., M is the point on BC for which MB = MC).  Thena)<span>      </span>Triangle ABM is congruent to triangle ACM.b)<span>      </span>Angle ABC = Angle ACB (base angles are equal)c)<span>      </span>Angle AMB = Angle AMC = right angle.d)<span>      </span>Angle BAM = angle CAM

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3 0
3 years ago
Read 2 more answers
Quick help guys thanks :)
Sonbull [250]

Answer:

\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}

Step-by-step explanation:

\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}

8 0
2 years ago
For their birthdays phoebe and raoul each got a round 12 inch cake. Phoebe's mother cut her cake into twelfths; raoul's mother c
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Raoul would have to eat four pieces of cake
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The interest that Julia earns on her investment is given by the equation I = 48t where t is the time in years that her money is
Papessa [141]
If the value is 5 and the equation is 
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