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larisa86 [58]
2 years ago
8

The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th

e company:
Part A: What do the x intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?


Part B: What is the approximate average rate of change of the graph from x=1 to x=4, and what does this rate represent?

Mathematics
1 answer:
Alex777 [14]2 years ago
8 0

The x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

From the graph:

x-intercept = (0, 0) and (8, 0)

Maximum value of the graph = 270 at x = 4

Increasing in the interval x ∈ (0, 4)

Decreasing in the interval x ∈ (4, 8)

As the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Rate of function = (270-120)/(4-1) = 50

Thus, the x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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150

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3 0
2 years ago
The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,
Sav [38]

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

6 0
3 years ago
Data collected over a long period of time show that the length of time x to complete a particular college entrance test is norma
Finger [1]

Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

7 0
1 year ago
Each​ month, a shopkeeper spends 7x+19 dollars on rent and electricity. If he spends 5x−2 dollars on​ rent, how much does he spe
insens350 [35]

The shopkeeper spends 2x + 21 dollars on electricity

The amount the shopkeeper spends on electricity less than​ $100 is:

x < 39.5

<h3>What is a linear inequality?</h3>

Linear inequality explains the range of values that a variable represents.

Total amount spent by the shopkeeper = 7x + 19

Amount spent on rent = 5x - 2

Total amount spent = Amount spent on rent + Amount spent on electricity

(7x + 19)   =  (5x - 2 )  + Amount spent on electricity

Amount spent on electricity = (7x + 19) - (5x - 2)

Amount spent on electricity = 7x - 5x + 19 + 2

Amount spent on electricity = 2x + 21

For which​ value(s) of x is the amount the shopkeeper spends on electricity less than​ $100?

Amount spent on electricity  <  100

2x  +  21  <  100

2x  <  100  -  21

2x  <  79

x  <  79/2

x  <  39.5

Learn more on linear inequalities here: brainly.com/question/11613554

6 0
1 year ago
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