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Gnom [1K]
3 years ago
7

For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0.

Mathematics
2 answers:
Nikolay [14]3 years ago
5 0
To solve, you will need to find the y intercept which in this case is on the graph. The find the slope's between the two points and calculate the average slope by adding the two then dividing. Hope that helps! 

erma4kov [3.2K]3 years ago
5 0

Answer:

<h2>B. 2.</h2>

Step-by-step explanation:

You can find the average by substituting the given values in the function, then  do an arithmetic average with results.

So, for X = - 1 you get f(-1) = 1

For X = 0 you get f(0) = 3

So, the average with 1 and 3 is 2. Because you sum numbers which results 4, and then divided by 2 (the amount of numbers involved in the average).

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Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
diamong [38]

Given:

The table of values is:

x :     -7          -5         -3           -1

y :      5           9         13          17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

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

Using the slope formula. we get

\dfrac{9-5}{-5-(-7)}=2

\dfrac{13-9}{-3-(-5)}=2

\dfrac{17-13}{-1-(-3)}=2

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

y-y_1=m(x-x_1)

y-5=2(x-(-7))

y-5=2(x+7)

y-5=2x+14

Adding 5 on both sides, we get

y-5+5=2x+14+5

y=2x+19

Therefore, the equation for the given data is y=2x+19.

8 0
3 years ago
What is the distance between the points ( 19, 4) and (11, 12)?
Olenka [21]
D = \sqrt{(x_{2}- x_{1})^{2}+ (y_{2} -y_{1})^{2}}
D = √(11-19)²+(12-4)²
D = √(-8)²+(8)²
D = √64+64
D = √128
D ≈ 11.3137 
8 0
2 years ago
Jenny’s Gift Shop sells candles in a variety of packages. The cost per candle is the same in every package. A package of 8 candl
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Answer:

8 candle = $12.96

1 candle =($12.96/8)

= $1.62

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: =$4.86

4 0
2 years ago
54 ÷ (−6)<br><br><br> A. 9<br><br> B. -9<br><br> C. -8
sp2606 [1]

Answer:

Option B, -9

Hope this helps!

6 0
2 years ago
4²+A = can someone simplify this please
snow_lady [41]

Answer:

16+A

Step-by-step explanation:

4*4=16

7 0
2 years ago
Read 2 more answers
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