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aivan3 [116]
3 years ago
5

Calculate the average rate of change for the function

Mathematics
1 answer:
mezya [45]3 years ago
7 0

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4

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What is the median of the following set of numbers? 1/12, 5/12, 1/2, 1/6, 1/2, 3/4, 2/3
Tema [17]
Mean- 103
Median- 23
Mode- 12
5 0
3 years ago
How many significant figures are in each of these problems <br> -2000+20.5 <br> -106.2+54.07
sergeinik [125]

Answer:

  • 3 significant figures

Step-by-step explanation:

<u>Problems given:</u>

  • - 2000 + 20.5 = - 1979.5 ≈ -1980.0 ⇒ 3 significant figures
  • - 106.2 + 54.07 = - 52.13 ≈ -52.1 ⇒ 3 significant figures

Zeros at the end are not counted as significant figures

7 0
3 years ago
Write the equation in slope intercept form: slope = -4; Y-intercept = (0,2)
tatuchka [14]

Answer:

y=-4x+2

Step-by-step explanation:

The slope intercept form is: y=mx+b

Then

y=-4x+b

y=2  and x=0 at the intercept

thus

2=-4(0)+b

b=2

y=-4x+2



7 0
3 years ago
Read 2 more answers
A wooden toy kit has different painted solids. One solid is a cylinder with a diameter of 2cm and a height of 14cm.
jeka57 [31]

Answer:

Surface are = 94.24 cm2

Cylinders =4,244

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a cylinder = 2π (diameter/2) h + 2π (diameter /2)²  

Replacing with the values given

s = 2π (2/2) 14 + 2π (2/2)²

s = 87.96+ 6.28 =94.24 cm2

Since:

1 m2 = 10,000 cm2

40 m2 = 400,000 cm2 (area that one can of paint covers)

We have to divide the area that one can of paint covers by the surface area of each cylinder:

400,000/94.24 = 4244 cylinders

8 0
4 years ago
Please show step by step <br> I don’t know how to do this
Pepsi [2]

Answer:

4=1

Step-by-step explanation:

2(n + 2) = 4n + 1 - 2n

2n + 4 =4n - 2n + 1

2n + 4 = 2n + 1

<em>add -2n to each side</em>

2n-2n+4=2n-2n+1

0+4=0+1

4=1

idk if this is right myself but this is want i found on internet, i searched it up for 1 hour and this is the ans they gave me...

3 0
3 years ago
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