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skelet666 [1.2K]
3 years ago
6

Average rate of change

Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer: the rate of change is 3

Step-by-step explanation:

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Which of the following is most likely the value of the seventh term of the sequence graphed below?
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An unknown variable ..............
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The table shows a linear function. <br>which equation represents the function?
Bas_tet [7]

Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

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

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

Simplify:

y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


8 0
3 years ago
What is the volume olf the basketball the diameter is 9.5 round to mearest whole nu!mber<br>​
Novosadov [1.4K]

Answer:

143π in³

Step-by-step explanation:

A basketball has the shape of a sphere

Volume of a basketball = 4/3πr³

Diameter = 9.5 in

Radius = diameter/2

= 9.5/2

= 4.75 in

Volume of a basketball = 4/3πr³

= 4/3 * π * 4.75³

= 4/3 * π * 107.17

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= 428.68π / 3

= 142.89π in³

Approximately

143π in³ to the nearest whole number

3 0
2 years ago
Please help me with this Ixl answer.Please answer this correctly I have to show them the
frosja888 [35]

Hello!

Let's put this as a system of equations.

r= 8+g

r+g=14

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I hope this helps!

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