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Yuliya22 [10]
4 years ago
9

What is the average rate of change for the sequence shown below? coordinate plane showing the points 1, 4; 0.5, 3.5; 0, 3; and n

egative 0.5, 2.5
−2
−one half
1
2
Mathematics
1 answer:
Ronch [10]4 years ago
6 0

Answer:

1

Step-by-step explanation:

Please use parentheses around the coordinates of your points:

(1, 4); (0.5, 3.5), etc.

If we go from (0.5, 3.5) to (1, 4), x increases by 0.5 and y increases by 0.5.  

Thus the slope is m = rise / run = 1/1 = 1.

This is the average rate of change for the sequence shown.

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown
kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

(x_{1}, y_{1}) and (x_{2}, y_{2}) is

  • (x_{M},y_{M})  = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ x_{1} = -15 and x_{2} = x

∴ y_{1} = 13 and y_{2} = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ x_{M} = -24 and y_{M} = 15

→ Use the rule of the mid-point to find x and y

∵ -24=\frac{-15+x}{2}

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ 15=\frac{13+y}{2}

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

5 0
4 years ago
Write the name (not the equation) of each of the following:
Vladimir [108]

The names of the functions in the attached figure are:

  • Cubic function
  • Absolute value function
  • Square root function.
  • Rational function.
  • Quadratic function

<h3>How to name the functions?</h3>

Functions can be named by their parent functions.

This is so because functions derive their properties from their parent functions.

There are several parent functions, some of them are:

  • Linear equation
  • Exponential equation
  • Quadratic equation
  • Rational equation
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Using the above as a guide, the names of the functions in the attached figure are:

  • Cubic function
  • Absolute value function
  • Square root function.
  • Rational function.
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Read more about parent functions at:

brainly.com/question/17079244

#SPJ1

5 0
2 years ago
I need this answered asap!!!
oksano4ka [1.4K]
185 kilometers I hope the answer is right
8 0
3 years ago
What is the answer to-2x+5=-31
7nadin3 [17]

Answer:

x = 18

Step-by-step explanation:

Subtract 5 on both sides:

-2x + 5 =- -31

       -5      -5

-2x = -36

Divide by -2 on both sides:

-2x = -36

/-2     /-2

x = 18    

8 0
3 years ago
Read 2 more answers
Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o
Sveta_85 [38]

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

49 students will be selected randomly.

8 0
3 years ago
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