A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?

Answers

Answer 1

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)


Related Questions

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

Find the value of 42 + 6 ÷ 2

Answers

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

f(x)=3x-5 please help :>

Answers

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

Chrystelle's mother is 1 2/3ft taller than Chrystelle. If
Chrystelle is 3 1/2 ft tall, how tall is her mother?

Answers

Answer:

4 5/6 feet.

Step-by-step explanation:

The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.

3 3/6 + 1 4/6= ?

(Written as an Improper fraction)

21/6 + 10/6 = 31/6

31/6 = 4 5/6.

I hope this helps!

Answer:

first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so

Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6

chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6

now just add to figure out so

3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6

so chrystelles mom is 5 1/6 feet tall

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Graph y = 3/4x + 2
Im cray-zee for not knowing this lol

Answers

Answer:

*give credit to Desmos

Step-by-step explanation:

HAAALLLLPPPP plz

The production cost to make 10 shirts is modeled by the expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt?

Answers

Answer:

the second one, B

Step-by-step explanation:

This is because in both numbers the decimal was moved back one.

0.18y+55 is the  represents the production cost for one shirt.

What is Expression?

Expression is a combination of numbers, variables and operators.

Given that  production cost to make 10 shirts is modeled by the expression 1.8y+55.

The variable y represents the number of meters of fabric needed to make the shirts.

We need to find the expression represents the production cost for one shirt.

As there are 10 shirts so divide 1.8 with 10

we get 0.18.

And the value remains constant as it is a constant which does not change.

Hence, 0.18y+55 is the expression represents the production cost for one shirt.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

what is the value of x and y?

Answers

Angles in a triangle add up to 180 degrees.

All angles in an equilateral triangle have equal values

Both angle x and y equal 60 degrees.

At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
-5
-2
2
О
5

Answers

Answer: It should be -2 and 5

Step-by-step explanation:

the product of 5 and a number is at least 20

Answers

this is the best thing i could find for you, good luck with your question,

5x is greater than or equal to -25

The product of 5 and a number is at least –25

we convert the given statement into inequality

product means multiplication

Let x be the unknown number

product of 5 and a number is 5x

5x is at least -25

For word at most we use <=

for word at least we use >=

So the expression becomes 5x <= -25

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

Answers

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

Solve for x. x^2 - 14x + 31 = 0

Answers

Answer:

7 + 3 sqrt 2

7 - 3 sqrt 2

Step-by-step explanation:

Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?

Answers

Answer:

5

Step-by-step explanation:

30/6=5

A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is?

Answers

Answer:

Add the 1/3 to look for the r

Step-by-step explanation:

good luck

a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?

Answers

It will cover 360 miles in 6 hrs

Hope this helps

Pls give me BRAINLIEST

PLEASE I WILL MARK BRAINLIEST
JUST TELL ME HOW TO SLOVE IT

Answers

Answer:

x=5

Step-by-step explanation:

So first we want to find x by itself, so we can subtract 4 from both sides:

x=5

That is your simple answer!

Step-by-step explanation:

[tex] \huge{ \sf{x + 4 = 9}}[/tex]

~ Move 4 to right hand side and change it's sign :

⟼ [tex] \huge{ \sf{x = 9 - 4}}[/tex]

~ Subtract 4 from 9

⟼ [tex] \huge{ \sf{x = 5}}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What is the solution to −9x−6≥−3(x−4) ?

Answers

The answer is

x ≤ -3  

which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
-10
5
-5
0

Answers

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

what is in math solve the following equation 35x-7y=49

Answers

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23

Determine whether each statement about the equations is true or false

Answers

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

a + 9 = 23

a = 14

3b + 9 = 23

3b = 14

b = 14/3

6c + 9 = 23

6c = 14

c = 14/6 = 7/3

Statement 1: 3a = 14 x 3 = 42, which is not equal to b.

Statement 2: 7/3 is less than 14.

Statement 3: 2c = 7/3 x 2 = 14/3 = b.

Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.

Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.

Answers

Answer:

Step-by-step explanation:

ok so do this

9x² + 3x - 8 - (3x² + 8x)

distribute the negative sign

9x² + 3x - 8 - 3x² - 8x

simplify

6x² - 5x - 8

hope this helps <3

1. Evaluate
2

for x = 1
2
and y = 3


2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
$120. If the cost to rent the car is $25 plus $.75 per mile how many mile can he drive it? Write and
solve an inequality

Answers

Answer:

Step-by-step explanation:

Solve for p.
p - 879 = -284
p =

Answers

The answer is 595 ooookkkkkk

Please please help me!!!!

Answers

9514 1404 393

Answer:

yy+8y-2

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

The number of fish in a lake decreased by 25% between last year and this year.
Last year there were 60 fish in the lake. What is the population this year?

Answers

the population would be 45 fish

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

This population, the population is 45 fish.

find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)

Answers

Answer:

2x^2yz + 3xy^3z - 3xyz^3

Step-by-step explanation:

First you must distribute:

xyz(2x) + xyz(3y^2) + xyz(-3z^2)

Then simplify:

2xyxx + 3xyzy^2 - 3xyz * z^2

And finally simplify each term:

2x^2yz + 3xy^3z - 3xyz^3

2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?

Answers

a. w = -4m + 260

b. 10 months

help me or dont lol but please help me

Answers

27° i'm pretty sure.

can someone pls help me i need to know what is 2x - 1 = 7

Answers

Answer:

The solution for x would be 4.

Step-by-step explanation:

2x - 1 = 7

The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4

Find the value of w°

Answers

Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

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