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Travka [436]
3 years ago
14

Some values of a linear function are shown in this table:

Mathematics
1 answer:
viva [34]3 years ago
8 0

9514 1404 393

Answer:

  5.5

Step-by-step explanation:

The rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (16.5 -11)/(3 -2) = 5.5/1

  m = 5.5

The rate of change of this function is 5.5.

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The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl
laiz [17]

Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :  \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

Put x_1=20,\ y_1=150,\ y_2=150  to find  x_2.

\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32

Hence, the waiting time will be 32 minutes when 240 people in line.

3 0
2 years ago
Read 2 more answers
Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them e
REY [17]
y = \frac{1}{2x^{2} - 4}
0 = \frac{1}{2x^{2} - 4}
0(2x^{2} - 4) = (2x - 4)(\frac{1}{2x^{2} - 4})
0(2x^{2}) - 0(4) = 1
0 - 0 = 1
0\neq1
8 0
3 years ago
A musician is ordering custom T-shirts to sell at concerts. The shirt company charges $5 for each plain T-shirt, and another $3
Leviafan [203]
Options for the question needed
3 0
3 years ago
Solve.<br><br> The answer must be a fraction. Solve by substituting.
maw [93]

Answer: x = -14/5

Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation

-2/3 (x + 2) = 1/6 (x + 6)

(-2x/3) -4/3 = (x/6) + 1

By collecting like terms we now have

(-2x/3) - (x/6) = 1 + 4/3

(-4x - x)/6 = 7/3

-5x/6 = 7/3

By cross multiplication we now have

-5x (3) = 7 (6)

-15x = 42

x = -(42/15) {simplify further by dividing the RHS by 3}

x = -14/5

Therefore x equals, minus fourteen over five (-14/5)

4 0
3 years ago
Find the shaded area
My name is Ann [436]

Answer:

113.1in²

Step-by-step explanation:

The answer for this question will be 113.1in²

As we know the diameter that is 12 inches.

Thats how we got the area for this question.

Hope this helps

6 0
3 years ago
Read 2 more answers
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