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borishaifa [10]
3 years ago
5

The graph shows the function f(x).

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.


Step-by-step explanation:

The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.

Slope:m=\frac{y_2-y_1}{x_2-x_1}

Substitute the values for your function into the slope formula and simplify.


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During the school year, a bus driver made 7 trips to the museum. The distance from the school to the museum is 36 miles. Write a
bagirrra123 [75]

Given:

Number of trips = 7

Distance from the school to the museum = 36 miles.

To find:

Write and solve equations to find how many miles the bus driver drove for the 7 trips.

Solution:

Let x be the number of trips and y be the total number of miles the bus driver drove.

Distance from the school to the museum = 36 miles.

1 trip means from the school to the museum and then from the museum to the school.

Distance covered in 1 trip = 2×36 = 72 miles.

Distance covered in x trips = 72x miles.

y=72x

Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.

y=72(7)

y=504

Therefore, the bus driver drove 504 miles for the 7 trips.

7 0
3 years ago
Solve for x...........
julsineya [31]

Answer:

x=?

Step-by-step explanation:

5 0
4 years ago
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three
aliya0001 [1]
<span>The volume of a rectangular prism is 
 V = l · w · h
V= 252 cm3
h= 3 cm
l=5+W
W=x then l=5+x
V=(5+x)*x*3=252
3x</span><span>^2+15x=252 cm3

</span><span>the equation that models the volume of the tray in terms of its width, x, in centimeters.
</span>3x^2 +15x=252 cm3<span>
</span>

for width=7.5 cm

3x^2 +15x=3*(7.5) ^2+15*7.5= 281.25 cm3

<span>281.25>252 </span><span> </span>

<span>it is not possible that the width is 7.5 cms</span>


4 0
3 years ago
Read 2 more answers
Find the slope of the line in simplest form.
N76 [4]

Answer:

-\frac{3}{2}

Step-by-step explanation:

To find the slope of the given line, slope is the rise divided by the run of a line.

  Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}  }

  Picking points (4, 18)  and (8, 12)

 Now;

  x₁  = 4

  y₁  = 18

  x₂ = 8

  y₂ = 12

  Slope  = \frac{12 - 18}{8-4}   = -\frac{6}{4}   = -\frac{3}{2}

7 0
3 years ago
Tony buys 2 boxes of chocolates. One is 4 in. 7 in. 8 in. And 8 in. 5 in. 6 in. Which box has the larger volume?
Rufina [12.5K]

Answer:

Second box

Step-by-step explanation:

Volume (of the box) = length * width * height

Volume of first box is: 4 * 7 * 8 = 224

Volume of second box is: 8 * 5 * 6 = 240

Since 224 < 240, the volume of the second box has the larger value.

4 0
3 years ago
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