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gulaghasi [49]
3 years ago
10

The table shows values of of a function F(x). What is the average rate of change F(x) over the interval from X = 5 to x = 9? Sho

w your work

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer: the average rate of change  is 4.

Step-by-step explanation:

The average rate of change is the slope. Therefore, you must use the following formula for calculate the slope:

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

As you can see in the table, when x=5, y=-2 and when x=9, y=14. Then the points you must substitute into the formula are:

(5,-2) and (9,14)

Then, you obtain:

m=\frac{14-(-2)}{9-5}=4

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Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s
timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

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

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

y = m(x - x_1) + y_1

Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

y = 5

6 0
3 years ago
Simplify y^-2/y^-7. Write your answer with a positive exponent only.
attashe74 [19]

Answer:

y^5

Step-by-step explanation:

y^-2/y^-7

When we divide exponents with the same base, we subtract the exponents

y^ ( -2 - -7)

y^ ( -2+7)

y^ 5

4 0
3 years ago
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Help with my homework. Please.
garik1379 [7]

Answer:

Step-by-step explanation: since average speed = total distance/time

a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5

b)journey from my home town to B = 20 miles/30 minutes = 0.7

c)10 miles + 20 miles = 30 miles

which takes 50 minutes

so: 30 miles/50 minutes = 0.6

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3 years ago
What is the volume of a cylinder with a diameter of 10 meters and a height of 8 meters? Use 3.14
Pachacha [2.7K]
Answer 20 I just did that question
5 0
3 years ago
Solve |x| + 7 &lt; 4. <br> ........................
Fynjy0 [20]
Hello : 
<span>|x| + 7 < 4.
</span><span>|x| < 4.-7
</span>|x| < -3
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