The total profit P of manufacturing x hundred DVD's is given by the equation below.
P = 600 + 1,500x − 100x2
Find x if the total profit is $5,600.

Answers

Answer 1

Answer:

x = -7.5

Step-by-step explanation:

P = 600 + 1,500x − 100x^2

P = − 100x^2 + 1,500x + 600

x = -b/2a

1500/ (2 x -100)

x = -7.5


Related Questions

Jacob went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Jacob pick each mile?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

16 2/3 ounces per mile

Step-by-step explanation:

50 ounces of blueberries/3 miles = 16.666 repeated

16.666 repeated = 16 2/3 ounces/mile

What is another name for CD?

Answers

Answer:

I think album is another name of CD.

PLEASE HELP DESPERATE

Answers

tan=sin/cos so tan=3/5/4/5=3/4

Answer:

SOH CAH TOA

3/5 opposite over hypotenuse

4/5 adjasent over hypotenuse

tan= opposite over adjasent which is 3/4

Step-by-step explanation:

Help multiple choice

Answers

Answer:

the first one

Step-by-step explanation:

- (For 10 points!)

Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size. There are 2 red candles, 1 green candle, and 1 blue candle. He draws 1 candle and then draws another candle without replacing the first one. Find the probability of picking 1 red candle followed by another red candle, and show the equation used.

(don't joke around please?? /gen)

Answers

Answer:

The probability of picking 1 red candle followed by another red candle is 16.66%.

Step-by-step explanation:

Since Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size, and there are 2 red candles, 1 green candle, and 1 blue candle, and he draws 1 candle and then draws another candle without replacing the first one, to find the probability of picking 1 red candle followed by another red candle, the following calculation must be performed:

2/4 x 1/3 = X

0.5 x 0.333 = X

0.16666 = X

Therefore, the probability of picking 1 red candle followed by another red candle is 16.66%.

Answer:

1/6

Step-by-step explanation:

2/4 x 1/3 = 1/6

In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?

Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:

Answers

If a figure has exactly three sides, then it is not a triangle.

Answer:

Step-by-step explanation:

Hello can someone help me with this problem

Answers

Answer: x = 60

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.

2x + 5 + x - 5 = 180

3x = 180

3x : 3 = 180 : 3

x = 60

i need help pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaseeeeee

Answers

Answer:

3 option is correct

Step-by-step explanation:

because all the domains and ranges calculation matches in eqn 3

Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour

Answers

Answer:

319 pages and a half

Step-by-step explanation:

Divide 2238 by seven. The answer is about 319.71.

álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172

Answers

Answer:

x = -4.5

Step-by-step explanation:

Given:

0.1x + 0.008 = 0.06x − 0.172

Collect like terms

0.1x - 0.06x = -0.172 - 0.008

0.04x = - 0.18

x = -0.18/0.04

x = -4.5

Check:

0.1x + 0.008 = 0.06x − 0.172

0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172

- 0.45 + 0.008 = -0.27 - 0.172

-0.442 = -0.442

Pls help ASAP!!!!!

Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.

Answers

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

[tex]{\underline{Initial\:Output}}[/tex]

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

[tex]{\underline{Final\:Output}}[/tex]

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]

Question Progress
-To Progress
Find the equation of the ine shown.

Answers

Answer:

could you show the ine?

Step-by-step explanation:

Determine the measure of ZA.

45.6°
57.7°
55.2°
32.3°

Answers

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

The graph below shows the solution to which system of inequalities?
10-
TO
10
-10

Answers

Neurehjrhreidnnfejfueiendnd

what is this please help

Answers

Answer: The answer in the blank is 2/5.

Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.

Exact Form:
4
15
4
15
Decimal Form:
0.2
¯
6

Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?


x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.

Answers

F(x) has a greater slope.

Explanation: when graphing g(x) on a graphing calc, you will see that the slope is 2/2, which is less than a slope of 4.

Hope this helps!!

Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of total of 997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?

Answers

Answer:

52/997

Step-by-step explanation:

YALL THIS IS CORRECT I PROMISE.

KHAN ACADEMY

The required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.


Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of a total of 997 ice cream cones.  The probability that the next ice cream cone sold is a chocolate chip ice cream cone is to determine.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones = 52
total of 997 ice cream cones = 997
The probability of the next ice cream cone sold being a chocolate chip ice cream cone = 52 / 997
         = 0.1

Thus, the required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4

Answers

Answer:

D (4, 2)

Step-by-step explanation:

adding equation 1 and 2,

5x = 20

x = 4

Hence y = 2

Hence its D

Answer:

b (5,3)

Step-by-step explanation:

Can like someone help me I'm lost-

Answers

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm

Answers

Answer:

a.

Step-by-step explanation:

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Solve the equation and enter the value of x below. 7x + 6x= 52​

Answers

Hello!

7x + 6x = 52 <=>

<=> 13x = 52 <=>

<=> x = 52 : 13 <=>

<=> x = 4 => 7 × 4 + 6 × 4 = 52

Good luck! :)

Evaluate 2y when y = 6y

Answers

I believe the answer is 12y
im sure the answer is 12y

GIVING 15 POINTS PLS HELP!!!

Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.

Answers

Answer:

the picture I've given is an answer

Express sin U as a fraction in simplest terms​

Answers

Answer:

4/5

SOH-CAH-TOA

sin = opposite / hypotenuse

Hypotenuse = sqrt(18^2 + 24^2)  = 30

sin 24/30 = 4/5

Step-by-step explanation:

find the value of x to the nearest tenth

Answers

7

Step-by-step explanation:

To solve this you need to use trigonometry:

1. Identify the sides. In this case, x is opposite and 10 is adjacent.

2. Identify which part of SOHCAHTOA you need to use. In this case, you need to use TOA.

3. Form your equation. In this case, x = tany x A

4. Substitute numbers into your equation. In this case, x = tan35° x 10

5. Calculate this equation using a scientific calculator. In this case the answer is 7.

There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs. please help me I did not bring pencil and paper to Herman park

Answers

Answer:

18 pencils in 3 packs.

Step-by-step explanation:

Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:

36/6 = 6

There are 6 pencils in each pack.

Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:

Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)

                                       = 3 x 6

                                       = 18

There are 18 pencils in 3 packs.

~

what is gravity write it's SI system ​

Answers

Step-by-step explanation:

gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

its Sl unit is m/s².

hope it helps.stay safe healthy and happy.

Omane is 4 years older than Bremen. If the sum of their age is 60 , find Bremen's age​

Answers

Bremen’age is 28

Set x is omane’s age
Y is bremen’s age
X=y + 4
X+ y = 60
=> x= 32
Y=28

Answer:

Bremen's age is 28 years

Step-by-step explanation:

Bremen's age= x

Omane's age= x+4

x+x+4=60

2x+4=60

2x=60-4

2x=56

2x = 56

2 2

x=28

help plsss

1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4

Answers

⭐ Development:

Having the expression, let's modify it so it becomes a 2nd degree equation:

[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]

Now, we will multiply per 2x² both sides of equation...

[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]

                 [tex]\searrow[/tex]

                     [tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]

We have to write in standard form...

[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]

                                                                                                     

[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]  

                                                                                                                         

                                                             [tex]\huge {\text {$ \sf \downarrow$}}[/tex]

                                                                                                         

           [tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex]                        [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]

At this point, we're going to add the values ​​of x₁ and x₂:

[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]

                                           [tex]\huge {\text {$ \it Alternative \: A $}}[/tex]

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