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kobusy [5.1K]
4 years ago
8

How to find the average rate of change of a function from x1 to x2 given the values?

Mathematics
1 answer:
7nadin3 [17]4 years ago
6 0
That's just the slope from those points

lests say the function is f(x)

the average rate of change is \frac{f(x_2)-f(x_1)}{x_2-x_1}
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A certain isotope decays so that the amount A remaining after t years is given by:
pashok25 [27]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

3 0
4 years ago
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies13 Dimes 18 Nickels1
Nezavi [6.7K]

Answer:

P(Nickel\ and\ Nickel) = 0.08091

Step-by-step explanation:

Given

Pennies = 18

Dimes = 13

Nickels = 18

Quarters = 13

Required

Probability of selecting 2 nickels without replacement

This can be represented as: P(Nickel\ and\ Nickel)

The solution is as follows

P(Nickel\ and\ Nickel) = \frac{Nickel}{Total}*\frac{Nickel-1}{Total-1}

The second nickel is reduced by 1 because the first nickel was not replaced and this also reduces the total by 1

So, we have:

P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{18-1}{62-1}

P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{17}{61}

P(Nickel\ and\ Nickel) = \frac{18*17}{62*61}

P(Nickel\ and\ Nickel) = \frac{306}{3782}

P(Nickel\ and\ Nickel) = 0.08091

6 0
3 years ago
ILL MARK BRAINLIST !!! SHOW WORK
Sedbober [7]

Answer:

8748

Step-by-step explanation:

a^5b^-6

when replacing the variables with their values :

3^5 -6^2

3^5 = 3*3*3*3*3 = 243

(-6)^ 2 = 36

243 * 36 =

8748

8 0
4 years ago
Which inequality represents the solutions to the inequality −5r+18≤2−3r?
Harlamova29_29 [7]

Answer:

2 step equation problems.

Step-by-step explanation:

So you need to replace -3 into that to add -18 on both sides and that gives you the negative number is -20 and then you add the -5r+-3r less than or equal to -20. Now, negative -5 +3 = -8 + -20 = -28. r=-28.

4 0
3 years ago
Solve the system of equations below.<br> 5.1 – 2y=18<br> 3.x+3y=15
s344n2d4d5 [400]

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

8 0
3 years ago
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