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NikAS [45]
3 years ago
9

PLS HELP ILL MARK U BRAINLIEST The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, i

n dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160.

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? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:Part A) see the explanation

Part B) see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

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?

Let

x ----> the price of pencils in dollars

f(x) ----> a company's profit in dollars

we know that

The function f(x) is a quadratic function having x-intercepts at (0,0) and (10,0)

The x intercepts give us the price when profit is zero, so the x-intercepts represent break-even points

The vertex is at (5,160)

f(x) represent a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the price of the pencils when the value of the profit is maximum

The y-coordinate of the vertex represent the maximum profit

therefore

The maximum profit of $160 is when the price of the pencils is $5

Profit is increasing on the interval (0,5) and decreasing on the interval (5,10)

This represents that profit is increasing when selling price ranges from 0 dollars to 5 dollars, then decreases when selling price is 5 dollars to 10 dollars

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

Find the average rate of change of the graph from x = 2 to x = 5

To find the average rate of change, we divide

Step-by-step explanation:

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Help please this is do soon I will mark brainliest
Fed [463]

Answer:

(-3,2)

Step-by-step explanation:

when reflecting over the y axis all you have to do is flip the signs on the x values so it would be (-3,2)

4 0
2 years ago
What is the solution of 9x-8=34x-12
Cerrena [4.2K]

Answer: x = 2/13

Step-by-step explanation:

9x-8=34x-12

Add 12 on both sides and you get

9x+4=34x

Subtract 9x from both sides and you get

4=26x

Divide 26 from both sides to get

X= 4/26

Simlify

x = 2/13

4 0
3 years ago
Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year. The expression repr
klio [65]

Answer:

$27

Step-by-step explanation:

18 times $1.50 = 27 dollars a year

5 0
3 years ago
For every 5 pages in a book Fred reads, Lonnie reads 4 pages. In 1 hour, they read a combined total of 36 pages. How many pages
nydimaria [60]

Answer:

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

Step-by-step explanation:

The table that can be formed by the rate at which they study the number of pages of a book is:

Fred     Lonnie       total

 5           4                9

 10          8               18

 15          12              27

 20         16              36

That means when they read a combined of 36 pages.

Then the number of pages read by Fred is 20 pages.

and the number of pages read by Lonnie is 16 pages.

(

Also it could be done as :

Let Fred reads 'x' pages.

so, the number of pages read by Lonnie is: (4/5)x

Hence,

x+(4/5)x=36

on solving this linear equation we have:

x=20

and (4/5)x=16

)

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

3 0
3 years ago
Round off then estimate 18.9*5.2
Nataly [62]
18.9 rounded is 19
5.2 rounded is 5

19 * 5 = 95
7 0
3 years ago
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