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Art [367]
3 years ago
14

What is solution to the system of equation

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Hello,

Please, see the attached files.

Thanks.

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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
BartSMP [9]

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:

4 0
4 years ago
Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 4 meters wide and 9 m
aliina [53]
Area is calculated by taking the length times the width.
A=lxw

one shed is 9 x 4 =36 square feet.
the other shed will be the same but have a four sides equal.
a shed with side of 6 x 6 will have a area of 36 square feet.

one side of the square shed would be 6 feet.

brainliest is always appreciated..
6 0
3 years ago
Sam can mow a lawn in 40 minutes. Vanessa can mow the same lawn in 60 minutes. How long does it take for both Sam and Vanessa to
xxMikexx [17]

Answer:

As a reduced fraction: \frac{120}{5} minutes, which is 24 minutes

Step-by-step explanation:

Sam's speed is 1 lawn in 40 minutes. Vanessa's speed is 1 lawn in 60 minutes. If they both work together, the total speed is:

\frac{1}{40}+\frac{1}{60}=\frac{1(3)}{40(3)}+\frac{1(2)}{60(2)}=\frac{3}{120}+\frac{2}{120}=\frac{5}{120}

Which means that the total speed would be 5 lawns in 120 minutes. To find the time it would take to mow one lawn at that speed, we need to invert that speed so we get minutes per lawn:

\frac{120}{5}=24minutes

5 0
4 years ago
The football team gained 22 yards and then lost 26 yards. What was the team’s overall change in position on the field? 48 - 4 -
4vir4ik [10]

Answer:

44

Step-by-step explanation:

8 0
3 years ago
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

4 0
3 years ago
Read 2 more answers
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