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Anettt [7]
3 years ago
8

Drag each tile to the correct box consider the given functions f,g and h place the tiles in order from least to greatest accordi

ng to the average rate of change of the functions over the interval 0,3 h(x)=x^2+x-6
Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

Step-by-step explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by

\dfrac{f(b)-f(a)}{b-a}

compute the quantity

\dfrac{f(3)-f(0)}{3}

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):

\dfrac{f(3)-f(0)}{3}=\dfrac{10-1}{3} = 3

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):

\dfrac{g(3)-g(0)}{3}=\dfrac{8-1}{3} = \dfrac{7}{3}

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):

h(3)=3^2+3-6=9+3-6=6,\quad h(0)=0^2+0-6=-6

And so the average rate of change is

\dfrac{h(3)-h(0)}{3}=\dfrac{6-(-6)}{3} = 4

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asambeis [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

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Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

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Divide both sides by -1

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y = 2

5 0
3 years ago
Organize your data and find the rate of change.
LuckyWell [14K]
A .E is 7 inches for the left arm
E is 8 1/2 inches for the left foot
the inputs look like the length of the arm (ie x) the outputs are the length of the foot 
<span>rate of change=<span>change in y change in x</span></span> use the data you gathered or this equation they give you  = 0.860 •  + 3.302


B. find the difference in y, then the difference in x, then divide (y over x) to get the slope
8-7/7 1/2-6 1/2 = 1/1 =1

C.you plug in any (x,y) point you used to find the slope
Solve for B
y = mx+b y = 1*x + b 7.5 = 1*8 + b b =
7.5 - 8 = -0.5
<span>y = x - 0.5</span>

Hope this helps




8 0
3 years ago
Pls help me ASAP i need help
raketka [301]

Answer:

934 or 935

Step-by-step explanation:

8 0
2 years ago
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Answer:

d) XY > RS

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Hello!

----------

The area in square centimeters is 68.8.

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Have a great day!

6 0
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