Arrange these functions from the greatest to the least value based on the average rate of change in the specific interval

Mathematics

1 answer:

oee [108]3 years ago

5 0

The average r. of c. of a function f(x) on an interval [a,b] is:

f(b) - f(a)
--------------
b-a

You'll need to apply this to all four of the given functions.

First function: f(x) = x^2 + 3x
a= -2; b= 3

Then the ave. r. of c. for this function on this interval is:

18 - (-2) 20
------------------ = ---------- = 4. y increases by 4 for every unit increase in x.
3-(-2) 5

Do the same thing for the other 3 functions.

Then arrange your four results in descending order (greatest to least).

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3 years ago

Solve the inequality, -4 less than 4(6y-12)-2y

erastova [34]

-4 < 4(6y - 12) - 2y

Distributive property.

-4 < 24y - 48 - 2y

Combine like terms.

-4 < 22y - 48

Add 48 to both sides.

44 < 22y

Divide both sides by 22.

2 < y

The value of y is greater than the value of 2.

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3 years ago

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Elina [12.6K]

Answer:

n ÷ 2

Step-by-step explanation:

if you insert a 12 for 'n', the corresponding value below would be 12÷2, or 6

this follows the pattern in the table

7 0

2 years ago

I need some help plz

scZoUnD [109]

Answer:

one solution is (0, -2)

Step-by-step explanation:

The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).

The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).

The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.