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Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:

[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)

Now we evaluate the function at each bound:

x = 50

[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]

[tex]P(50) = 11[/tex]

x = 55

[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]

[tex]P(55) = 9.125[/tex]

Then, the average rate of change is:

[tex]r = \frac{9.125-11}{55-50}[/tex]

[tex]r = -0.375[/tex]

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.

The profit function is given as:

[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]

Calculate P(x), when x = 50.

So, we have:

[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]

[tex]P(50) = 11[/tex]

Calculate P(x), when x = 55.

So, we have:

[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]

[tex]P(55) = 9.125[/tex]

The average rate of change from x = 50, to 55 is then calculated using:

[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]

So, we have:

[tex]m = \frac{9.125 - 11}{55-50}[/tex]

[tex]m = \frac{-1.875}{5}[/tex]

Divide

[tex]m = -0.375[/tex]

The function is in 1000 units.

So, we have:

[tex]m = -0.375\times 1000[/tex]

[tex]m = -375[/tex]

-375 implies a decrease of $375 for every $1 increase in sales

Hence, the correct statement is (b)

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Answer:

Mallory gets paid $20 for every 1 hour.

Step-by-step explanation:

You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20

ratio 1 hr./20 dollars

Answer:

[tex]y = -\frac{3}{2}x+ 3[/tex]

Step-by-step explanation:

Answer:

405 ounces of water

Step-by-step explanation:

1 hr = 60 mins

2hrs= 120 mins (60 x 2)

120 + 15 = 135

135 x 3 = 405

Answer:

the answer is 1.875 gallons

Step-by-step explanation:

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

Answer:

Turn everything into fractions. You can also combine like terms.

Step-by-step explanation:

The number line shows that Kailey could have graphed the point C (3.3).

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

Plot the number line with the given limits: -5 to 5. See the attached image.

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

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Answer:

[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]

Thank you ☺️

Answer:

nosoulutions

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

Answer:

3.104 (option c)

Step-by-step explanation:

3 + 0.1 + 0.004 = 3.104

Answer:

Area = L · A = 24 m²

L = A + 2

reemplazamos:

(A + 2) · A = 24

A² + 2A - 24 = 0   ⇒ esta es la ecuacion quadratica

la solucion es: (A + 6) · (A - 4)

largo = 6 metros

ancho = 4 metros

Answer:

$220.87 but 220.88 if u have to round up :)

Answer:

Step-by-step explanation:

The answer is not in the option

Step one:

given data:

we are told that the hourly earning= $8.50

then additional tip=$80

total earnings=$131.

Step two:

the linear function for the total earning is the same as the equation of a line

y=mx+c

where

y represents the total earning of $131

m represents the hourly earning= $8.50

x represents the number of hours h

c represents the tip of $80

The expression for the situation is modeled as

Answer:

Base 6 was used

Step-by-step explanation:

Here, we want to find which number base was used for the addition calculation

We start by adding the two end numbers

4 + 5 = 9

But 3 was recorded;

That means we can have 6 as the number base( 9/6 = 1 r 3)

We still continue to verify this;

The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded

6/6 is (1 r 0)

This still further corroborated the earlier assertion;

then lastly 3 + 1 + 1 (1 brought forward); 5

This was recorded directly to show that the base in question is not less than 5

Hence our base of addition is base 6

Answer:

5

Step-by-step explanation: I used a calculator

Given :

Number of seats at UGA's Sanford Stadium, [tex]n_1 = 92,746[/tex] .

Number of seats at Auburn University's Jordan-Hare Stadium, [tex]n_2=87,451[/tex] .

To Find :

How many more seats are there at UGA's stadium.

Solution :

Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at    

                                                     Auburn University's Jordan-Hare Stadium

= 92,746 - 87,451

= 5295

Hence, this is the required solution.

H = 15 + 3t, is the equation representing the height, in inches, of the plant tt months after Angel bought the plant.

Equation is a mathematical and physical statement that describes physical occurrences and the relationship between various physical quantities. It usually consists of basic variables that show physical quantities, but it may also point to a personal variable like your energy.

An equation that has a "equal to sign (=)" either reveals the answer or represents the value of the variable. However, since there is no equal sign in the case of an expression, there can be no clear answer and the value of the concerned variable cannot be displayed.

Given that,

H representing the height, in inches, of the plant

t months after Angel bought the plant

Thus, equation becomes: H = 15 + 3t

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Answer:

The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

Step-by-step explanation:

To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:

$4.47/12=$0.37

$14.46/18=$0.80

According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

Answer:

24min

Step-by-step explanation:

30-28.32=1.68

1.68/0.07cents=24

Answer:

The Answer is C

Step-by-step explanation:

To simplify the expression you will simply need to take the -7 and multiply it by each of the exponents. -7 times -3=21 and -7 times 3=-21

Hope this helps.

Answer:

f(x)=1/2(x-4)^2+2

Then according to the above statement, we have the following equation:-

[tex]3 + 4x = 6x - 5[/tex]

Subtract 4x from both sides , we get

[tex]3 = 2x - 5[/tex]

Add 5 on both the sides , we get

[tex]8 = 2x[/tex]

Divide both sides by 2 , we get

[tex]4 = x[/tex]

Hence, the number is 4

Answer:

Step-by-step explanation:

3/4c=5/9

C=5×4/9×3

C=20/27

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation: