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frosja888 [35]
3 years ago
8

Can someone help me with all these!im giving brainliest:)

Mathematics
1 answer:
xenn [34]3 years ago
6 0

Step-by-step explanation:

  • 1a.2.
  • b.1/2 base×height
  • c.2 ×1/2 base×height
  • base×height

b.

  • 1m=100cm
  • 1m²=100cm×100cm
  • 1m²=10000cm²
  • 0.25m²=0.25×10000cm²
  • 0.25m²=2500cm²

C.

  • .3
  • .area of rectangle button+area of back+area of top
  • d.total surface area =base×height+area of rectangle button+area of back+area of top

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Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

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Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

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

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

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b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

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