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masha68 [24]
1 year ago
9

Use the functions and the scenario to solve the problem.

Mathematics
1 answer:
SashulF [63]1 year ago
3 0

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

<h3>How to estimate the student's answer?</h3>

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

brainly.com/question/13502804

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Load fund is a mutual fund. The term "load" is used to refer to a fund with commission. 

The commission is the difference of the net asset value and the offer price of the fund.


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3 years ago
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Garica family bought 9 bags of cookies each bag had 15 cookies they have eaten 27 of the cookies how many cookies do they have l
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NEED HELP WITH ONE MORE QUESTION
meriva

Answer:

Part A= 315

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Step-by-step explanation:

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2 years ago
Identify the x-intercept and y-intercept of the line 2x−5y=202x−5y=20.
tensa zangetsu [6.8K]
                 2x - 5y = 20

At the x-intercept, y=0 .

                 2x        =  20  ==>  x = 10

At the y-intercept, x=0.

                       -5y =  20  ==>  y = -4
7 0
3 years ago
There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits ar
GREYUIT [131]

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) =   12      13      16      17       20

y ($)         =  54     56     65     64     100  

The statistical data calculated is:

∑x = 78,   ∑x² = 1258,   ∑y = 339,  ∑xy = 5504,   n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx   --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

<u>y = -13.83 + 5.23x</u>

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

<u>Average Rate of Pay = $ 5.23 /hr</u>

8 0
3 years ago
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