The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?

A 5,000
B. 10,000
C. 20,000
D. 50,000

Answers

Answer 1
B is what it was for real life is a little more expensive but it
Answer 2

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

What is Profit ?

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

[tex]P (x) = -x^2 + 10x -4[/tex]

We need to maximize the profit P(x)

[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

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Related Questions

What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.

Answers

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

find the perimeter and area of the polygon with the given vertices. P(-3,4), Q(1,4), R(-3,-2), S(3,-2)

Answers

Answer:

OMG!!!!!!!!!OMG!!!OMG

ANSWER FAST WILL GIVE BRAINLIEST A box contains red, green, blue, and yellow balls. Jill randomly took a ball out of the box 55
times and recorded its color. Each time, she replaced the ball before taking out another one.
The table shows the colors of the balls that Jill took out of the box.

Answers

I would say B just because half of 14 is 7

Gary was looking for a new cell phone plan. Company A is offering $50 for the phone and $.20 per minute for data usage. How much would Company A’s phone plan cost if Gary spends on average 200 minutes for data?

Answers

Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

Write an equation of the line in slope intercept form given the information below slope=-4 point=(2,-4)

Answers

Answer:

y=-4x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-4(x-2)

y+4=-4(x-2)

y=-4x+8-4

y=-4x+4

A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of the line in slope intercept form which is passing through (2,-4) is  -4x +7.

What is the slope of a line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of a line in slope intercept form is given by

y = mx + c.

Given the slope of the line, m=-4. Also, the point through which the line is passing,

(x₁ ,y₁) =(2,-4)

Since the equation of the line in the slope-intercept form of the line is given by

y = mx +c

Since, the above line is passing through (2, -4) and the slope is -4.

Therefore,-4 = -4(2) + c⇒ -4 = -8 + c⇒ -1 +8 = c⇒ c = 7

Substitute the value of m and c in the equation

y = mx + c

⇒ y = mx + c

⇒ y = -4x +7

Therefore, the equation of line in slope intercept form which is passing through (2, -4) is y = -4x +7.

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Q. Find missing angle
a.60
b.36
c.30
d.41
e.49

Answers

Answer:

b or c

Step-by-step explanation:

HELP PLEASE ILL GIVE YOU BRAINLIEST

Answers

Answer:

Equation: 80-25= m

Solution: 80-25= 55

Check: 25+55= 80

Step-by-step explanation:

BigBrain

CAN SOMEONE HELP ME PLEASEEEEEEE

Answers

Answer:

a) = 7x² + 4y²

b) = 3x + 7xy - 7

Step-by-step explanation:

a) = (9 - 2) x² + (-3 + 7) y²

= 7x² + 4y²

b) = (8 - 5) x + (3 + 4) xy - 7

= 3x + 7xy - 7

Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power

Answers

Answer:

[tex]( \frac{4x}{y})^{2}[/tex]

Step-by-step explanation:

I need help with this homework

Answers

Answer:

Step-by-step explanation:

P(even) fraction: 12/25 %: 48%

P(more than 20) fraction: 1/5... %: 20%

P(even and more than 20) fraction: 2/25 %: 8%

P(less than 5 or more than 20) fraction: 9/25 %: 36%

P(prime and less than 10) fraction: 4/25 %: 16%

P(multiple of 5) fraction: 1/5 %:20%

Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, and a piece 13 feet long. Find the total length of pipe in feet. If he uses 5 feet of pipe on a job, how many feet of pipe are left?

Answers

I believe it is 30 bc it is 35ft of pipe minus 5 ft on a job?

Sochi starts reading at 11 25 AM and ends at 12 09 PM How many minutes does Sochi read? Use the number pad to enter your answer in the box minutes​

Answers

Answer:

Step-by-step explanation:

11.25=11.25 hrs

12.09=12.09 hrs

time=12.09-11.25=44 minutes

Answer:

44 minutes

Step-by-step explanation:

35 minutes from 11:25 AM to 12 pm

9 minutes from 12:00 pm to 12:09 pm

35 + 9 = 44 minutes.

Can u solve these please I need help

Answers

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29

Answers

Answer:

[tex]a_{n}[/tex] = 5n + 4

Step-by-step explanation:

There is a common difference between the consecutive terms of y

29 - 24 = 24 - 19 = 19 - 14 = 14 - 9 = 5

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 5 , then

[tex]a_{n}[/tex] = 9 + 5(n - 1) = 9 + 5n - 5 = 5n + 4

answer options for anyone who can give correct answer

The given information is the _____ of the if-then statement.

A then
B if
C none of the above

Answers

C is the answer




Because If we use A then it will not make sense same with b so it is c

The question is in the image. Please help me.

Answers

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Our center is located at (0, 1), so h = 0 and k = 1. Going from the center straight up of down we have to move 2 units to get to a point on the outside of the circle, so r = 2. Filling in our equation:

[tex](x-0)^2+(y-1)^2=2^2[/tex] which simplifies a bit to

[tex]x^2+(y-1)^2=4[/tex]

Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There were 40 questions on the test. How many answers did Angelina get right on the math test? Which equation represents this situation?


A. a + 7 = 12
B. a + 7 = 28
C. 7 + 12 = a
D. 7 = 40 - a

Answers

Answer:

40-28=12 Sahil got 28 right and 12 wrong

12+7=19 Angelina got 19 wrong and 21 right

40-19= 21

B would be correct

a +7=28

a= 28-7

a=21

1/2x = -9 what to do help

Answers

Answer:

1

2

=

9

\frac{1}{2}x=-9

21x=−9

1

2

=

9

Answer:

Step-by-step explanation:

I'm assuming that you are solving for x, since there's nothing else you can do with this mathematically.

[tex]\frac{1}{2}x=-9[/tex] and the goal is to get the x all alone. So we have to lose the fraction. Do that by multiplying by the reciprocal of 1/2 which is 2/1 (a reciprocal is just a fraction flipped upside down). BUT...because this is an equation, what you do to the left side has to be done to the right side too. Like this:

[tex](\frac{2}{1})\frac{1}{2}x=\frac{-9}{1}(\frac{2}{1})[/tex]

On the left, everything cancels out but the x (which is why we do this), and on the right we multiply straight across the top and straight across the bottom to get

[tex]x=\frac{-18}{1}[/tex] which is

x = -18

This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?

A. 12
B. 10
C. 6
D. 4

Answers

Answer:all i know its either 12 or 6 i hope u get it right:)

Step-by-step explanation:

Answer: B.12

Step-by-step explanation: DID YOU EVAN THINK BECAUSE I DIDNT

You guys are legit tjamks

Answers

Answer:

The answer is option C. 13/15

Step-by-step explanation:

1-2/15= 13/15

Daniel used wire fencing to form a border around a circular region in his back yard.
If the radius of the circular region was 5 yards, what was the total length of the border,
rounded to the nearest tenth of a yards

Answers

Answer:

31.4 yards

Step-by-step explanation:

credits: ApusApus

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Find m∠1 and m∠2. Tell which theorem can be used.

Answers

Answer:

1 = 117 ( vertically opposite angles are equal )

2 = 117 ( corresponding angles are always equal )

Step-by-step explanation:

Answer:

angle one=122 because it is using the alternate interior angle theorem

angle 2=58 because it is using the consecutive interior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58

since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle

can someone please help me with this question

Answers

Answer:

15 kilometers

Step-by-step explanation:

So we know:

For 4 days she runs 1500 meters each day.

For 3 days she runs 3 kilometers each day.

First off, lets convert 1500 meters into kilometers.

There are 1000 meters in a kilometer, so pluggin in 1500 meters:

1500/1000 = 1.5

So for 4 days she runs 1.5 kilometers each day.

Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.

So lets do this:

1.5*4 = 6

So she ran 6 kilometers in the first 4 days.

Next we have:

3*3 = 9

So she ran 9 kilometers in the last 3 days.

Now finally add them together:

6 + 9 = 15

So she ran a total of 15 kilometers.

Hope this helps!

The area of a square piece of land in square units can be represented by the expression 9q^4r^8s^6What is the length
of one side of the piece of land?

Answers

Answer:

I'll setup the problem, you do the calculation

Step-by-step explanation:

given the area of a square, you take the square and that is the side of the square

[tex] \sqrt{9 {q}^{4} {r}^{8} {s}^{6} } [/tex]

the square root of a number that is raised to a power is found by dividing the power by 2

example

[tex] \sqrt{ {x}^{6} } = {x}^{3} [/tex]

do that for each term and you have you answer

comment if you have questions

4. Un cuadrado tiene un área de 400 cm2; si se aumenta un centímetro por lado, ¿cuál será el perímetro del nuevo cuadrado?

Answers

Step-by-step explanation:

I can't read Spanish or read Spanish I'm sorry

A car is traveling at a constant rate of x miles per hour how many miles will the car travel in y minutes

Answers

Answer:

Step-by-step explanation:

1 mile

Which of the graphs below represents a system of equations that has no
solution?

Answers

Answer:

the second graph which shows parallel lines

Step-by-step explanation:

find the measure of side NO. Figures are not drawn to scale.​

Answers

Its being dilated by 3 therefore your answer is 9.9

Find the value of x. Round to the nearest degree.
A) 27
B) 60
C) 30
D) 26

Answers

The value of x is B) 60°

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=9/18

sinx=0.50

x=sin 30

x=30 degree

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