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3 years ago

Find the average rate of change for the function f(x)=32 + 25

1 answer:

5 0

given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.

(2,57) and (6,57)

When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.

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Find the equation of a line that passes through the point (5,2) and has a gradient of 2. Leave your answer in the form y = m x +

WINSTONCH [101]

good luck!!... hope it help! :)

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2 years ago

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

4z-(-3z) can you help me

Korvikt [17]

Answer:

Step-by-step explanation:

4z-(-3z).

Two negatives equal a positive only when they are right next to each other.

4z+3z=7z. Hope this helps :D

8 0

3 years ago

How many discontinuities does the piecewise function have.?

Aleks04 [339]

In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).

Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.

Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.

x = -3 because x is smaller than or greater than -3 but not equal.

x = 3 since greater than 3 in one of the inequalities.

x = 5 since x is smaller than 5 in one of the limits.

4 0

3 years ago

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2(4x+5)-2=2x+44? a.6 b.19/3 c.41/6 d.26/3

Nastasia [14]

8x+10-2= 2x+44
8x+8= 2x+44
8x-2x= 44-8
6x= 36
x= 6

so A is the correct answer :)

8 0

3 years ago

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