A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the expression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.

Answers

Answer 1

Answer:

The number of cars that brings the same profit is 9 and 0

Step-by-step explanation:

Given

[tex]x^2 - 4x = 5x[/tex]

Required

Determine the possible values of x

[tex]x^2 - 4x = 5x[/tex]

Subtract 5x from both sides

[tex]x^2 - 4x - 5x = 5x - 5x[/tex]

[tex]x^2 - 9x = 0[/tex]

Factorize

[tex]x(x - 9)= 0[/tex]

Split the equation

[tex]x = 0[/tex]         or        [tex]x - 9 = 0[/tex]

[tex]x = 0[/tex]         or        [tex]x = 9[/tex]

Hence, the number of cars that brings the same profit is 9 and 0


Related Questions

ITS EASY PLS HELP !!!

Answers

Answer:

19/6 or 3 and 1/6

Step-by-step explanation:

Evaluate 8 - m/n + p3 when m= 8 , n= 2 ,p= 7

Answers

Answer:

8 - m/n*p^2

8 - 8/2 * ^7^2

8 - 4 * 49

8 - 196= -188

Step-by-step explanation:

Please help me I need help on this one, worth 25 points

Answers

Answer:

you got it

a supplermentery angle forms a half circle

b. Find the equation of the line through (-3, 3) with slope 4.

Answers

Answer:

Step-by-step explanation:

use the formula y=mx+b. the first number in the parenthesis is -3 so that is x. 3 is y and the slope is m

so it is 3=4(-3)+b

Data will be collected on the following variables. Which variable can be considered discrete? A. The height of a person B . The weight of a person C. The length of a person’s arm span D The time it takes for a person to solve a puzzle E The number of books a person finished reading last month

Answers

Answer: E: The number of books a person finished reading last month

Step-by-step explanation:

First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).

So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.

Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)

The other options are continuous because all are classical measures.

For example, the weight of a person can jump between:

75.6kg and 75.7kg.

So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.

Option E is right.

A. The height of a person. Height is a continuous variable.

B . The weight of a person. Weight is a continuous variable.

C. The length of a person’s arm span. Length is a continuous variable.

D. The time it takes for a person to solve a puzzle. Time is a continuous variable.

E. The number of books a person finished reading last month. The number of books is discrete variable.

Learn more: https://brainly.com/question/11315571

Perform the indicated operation. Express answer as a simplified fraction (You may have
improper fractions)

Answers

Step-by-step explanation:

[tex]4 + \frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3} = 4 \frac{2}{3} [/tex]

[tex] \frac{67}{71} \times \frac{381}{399} = \frac{67 \times 381}{71 \times 399} = \frac{25527}{28329} = \frac{8509}{9443} [/tex]

[tex] \frac{684}{795} \div \frac{24}{37} = \frac{684}{795} \times \frac{37}{24} = \frac{25308}{19080} = 1.33[/tex]

WILLING TO GIVE BRAINIEST PLS HELP

Answers

Answer:

the first one is 2.3

Step-by-step explanation:

What is the solution to 34 x + 95 = 3(14 x + 9)?

Answers

Answer:

x=172

Step-by-step explanation:

I hope this helps you

Answer:

8.5

Step-by-step explanation:

Aisha changed 1.45 + 2.38 to 1.5 + 2.4 in order to estimate the sum. What estimation method did she use?

Answers

Answer:

Corrected to 1 decimal place.

Step-by-step explanation:

She corrected the values to  the tenths digit,

Answer:

C. rounding to the nearest tenth

Step-by-step explanation:

Aisha rounded 1.45 to 1.5 and she also rounded 2.38 to 2.4, which supports the fact that she rounded each number to the nearest tenth.

find the distance between each pair of points. Round to the nearest tenth.

Answers

Answer:

The answer is

6.7 units

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

[tex] |ML| = \sqrt{( {4 + 2})^{2} +( {0 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {3}^{2} } \\ = \sqrt{36 + 9} \: \: \\ = \sqrt{45 } \: \: \: \: \: \: \: \: \: \: \\ = 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 6.7082039[/tex]

We have the final answer as

6.7 units to the nearest tenth

Hope this helps you

What is the length of side AC as shown on the coordinate plane?
0 1 units
O 3 units
O 4 units.
O 6 units

Answers

Answer:

Easy, 4 units

Step-by-step explanation:

Evaluate the product by using the distributive property 9(89)

Answers

Answer:

801

Step-by-step explanation:

When we distribute the 9, we simply multiply:

9 · 89 = 801

2(3x+8)=4 I need to show work help quick please!

Answers

Answer:

x=-2

Step-by-step explanation:

First, Distribute the 2 into the parenthesis.

2(3x+8)=4

6x+16=4

Simplify

6x+16=4

    -16  -16

6x/6= -12/6

x= -2

Hope this helps!

Pls answer question asap

Answers

Answer:

the answer is its either 1/15 or 5/3=1 2/3

Step-by-step explanation:

A total of 376 hats were sold for the school play. They were either big hats or small hats. The number of small hats was sold three times the number of big hats. How many big hats was sold?​

Answers

Answer:

Hi there!

Your answer is;

There were 94 big hats and 282 small hats sold!

Step-by-step explanation:

Big hats= b

Small hats= 3b

3b+ b = 376

4b = 376

/4

b= 94

3(94) = 282

Double check!

94+282= 376

6xy-8x2 what is the answer to this question

Answers

Answer:

2x(3y-4x)

Step-by-step explanation:

Answer:

16X-6XY

Step-by-step explanation:

8X2=16X -6XY

The variance of any standard normal distribution is________.
a) 0.5.b) -0.5.c) 0.d) 1.

Answers

Answer:

d) 1

Step-by-step explanation:

The variance of standard normal distribution is simply put as 1.

If you take it a bit further, even though not asked, the mean of a standard normal distribution is 0.

Therefore, the conclusion is that, the variance of a standard normal distribution is 1, while the mean of the same standard normal distribution is 0

what is 0.76 +9.786​

Answers

Answer:10.546

Step-by-step explanation:

0.76+9.786=10.546

Solve the following equation for a. 5b + 6a – 7 = 2b + 9a

Answers

Answer:

[tex]a=\dfrac{3b-7}{3}[/tex]

Step-by-step explanation:

Given that,

The given equation is :

5b + 6a – 7 = 2b + 9a

We need to solve the above equation for a. Taking he terms having a and b in LHS and constants in RHS.

5b+6a-2b-9a=7

taking like terms together

(6a-9a)+(5b-2b)=7

-3a+3b=7

Subtracting both sides by 3b. So,

-3a+3b-3b=7-3b

-3a=7-3b

Dioviding both sides by (-3). So,

[tex]a=\dfrac{7-3b}{-3}\\\\a=\dfrac{3b-7}{3}[/tex]

Hence, the value of a is [tex]a=\dfrac{3b-7}{3}[/tex].

Answer:

[tex]a = \frac{3b-7}{3}[/tex]

Step-by-step explanation:

can someone help me please.

Answers

Answer:

D

Step-by-step explanation:

Its 5x (on bottom row, its the simplest way to put it), and 625 x 5 = 3125, then 3215 x 5 = 15625. So its D.

Answer:

D

Step-by-step explanation:

If you look closely, you may see a pattern in the denominators.

the 1st one is 5,

the 2nd one is 5²

the 3rd one is 5³

so it is only reasonable that the next 2 are 5^4 and 5^5

Pls help ASAP:).......

Answers

Answer: H
37/6=6.16
-5.17 : it's a negative so it'll be one of the lowest values
square root of 33: 5.74
-26/5: -5.2
least to greatest: -5.2, -5.17, 5.74, 6.16

If the height of a parallelogram is 11m and the
base is 6.9m, what is the area of the parallelogram?

Answers

Answer:

[tex] \huge{ \boxed{ \tt{75.9}\sf \: {m}^{2} }}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf{Given}} : [/tex]

[tex] \star{ \sf{ \: Height \: of \: a \: parallelogram \: (h) \: = 11m}}[/tex]

[tex] \star{ \sf{ \: Base \: of \: a \: parallelogram \: (b) \: = 6.9m}}[/tex]

[tex] \underline{ \sf{Finding \: the \: area \: of \: the \: parallelogram \: having \: height \: of \: 11m \: and \: base \: of \: 6.9m}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: parallelogram = base \: ∗ \: height}}[/tex]

[tex] \mapsto{ \sf{Area \: of \: parallelogram = 6.9m \: ∗ \: 11m}}[/tex]

[tex] \mapsto{ \sf{Area \: of \: a \: parallelogram = 75.9 \: {m}^{2} }}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

[tex] \huge\sf {\dag Question} [/tex]

If the height of a parallelogram is 11m and the base is 6.9m, what is the area of the parallelogram?

[tex] \huge\sf {\dag Solution } [/tex]

[tex] {\underline {\underline {\rm { Given:}}}} [/tex]

h ( height of the parallelogram ) = 11m

b ( base of the parallelogram ) = 6.9m

[tex] {\underline {\underline {\rm { To \: find :}}}} [/tex]

Area of the parallelogram

[tex] {\underline {\underline {\rm { Calculation :}}}} [/tex]

We know that,

[tex] {\underline {\underline {\rm {\red { Ar. \: of \: parallelogram = h \times b}}}}} [/tex]

Substituting values-

[tex] \sf {\implies Ar. \: of \: parallelogram = 11 \times 6.9}[/tex]

[tex] \sf {\implies Ar\: of \: parallelogram = 75.9{m}^{2}}[/tex]

_________________________________

Find the value of the following expression. [(17 − 9) × (3 × 2)] ÷ 2 help!

Answers

Answer:

16

Step-by-step explanation:

(17-9)x (3x2) /3

(17-9) = 8

(3x2) = 6

(8)(6)/3

(8x6) = 48

48/3 = 16

16 is your answer

Avas credit card balance is $64 if she makes a $25 payment then charges $79 find the balance of the card.

Answers

Answer:

$-118

Step-by-step explanation:

She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.

If I had 4 eggs
A thief gave me 3 eggs
My farm rooster lays 5 eggs
How many eggs do I have?

Answers

8 because it says you HAD 4 eggs, you don’t have them anymore

Using basic operations, it is found that you have 12 eggs.

----------------------------------

Initially, you had 4 eggs.When the thief gave you 3 eggs, these 3 eggs were added to your amount, thus, you had 4 + 3 = 7 eggs.When the farm rooster laid 5 eggs, these 5 eggs were added to your amount, thus, at the end, you ended up having 7 + 5 = 12 eggs.

A similar problem is given at https://brainly.com/question/24459209

Solve x2 = −169 im not that good at math

Answers

Answer:

Hi there

Your answer is:

13i

Step-by-step explanation:

Find the square root of √-169

We do i as coefficient to get rid of negatives

√169 is 13

Hope this helps

Please answer!!! 3x+4=9x+3

Answers

Answer:

x = 1/6

Step-by-step explanation:

"solve for x" would be better and clearer than "please answer."

We start the solution by subtracing 3x from both sides, obtaining

4 = 6x + 3

and then isolate the 3x term by subtracting 3 rom both sides:

6x = 1

Finally we divide both sides of this result by 6, obtaining

x = 1/6     This is the "answer" to the problem "solve 3x + 4 = 9x + 3 for x."

Absolute value equations
10 6v + 3 = 30

Answers

Your answers would be 30


A jug has a maximum capacity of 4 liters. It's filled to 85% of its capacity, and then poured out at a rate of 25 mL/s. Which of the following
expressions models the volume remaining in the jug, in liters, after X seconds?
O 3,5 – 0.0252
O 4-0.025z
O 3400 – 252
O 4000 - 252

Answers

the answer is letter b

Sarah makes $16 and hour. She works 44 hours this week. Optional
deductions are $50 for health insurance and $100 for child care. Federal
taxes are 8% State taxes are 7% and FICA is 7.65%. What is Sarah's NET
pay?

Answers

Answer:

$437.74

Step-by-step explanation:

16 x 44 = 704 -150=554 x 0.08= 554-44.32= 509.68 x 0.07= 509.68 - 35.6776 = 474 x 0.0765 = 474 - 36.261 = 437.74

Answer:

$ 394.54

Step-by-step explanation:

Sarah makes $16 and hour. She works 44 hours this week.

Optional deductions are

- $50 for health insurance and

- $100 for child care.

- Federal  taxes are 8%

- State taxes are 7% and

- FICA is 7.65%.

What is Sarah's NET  pay?

salary for a week: $16 x 44 =                   $704

deductions:

- health insurance and                             - $50

- child care.                                               - $100

- Federal  taxes are 8%  = 0.08 (704) =   - $53.32

- State taxes are 7% 0.07 (704)          =   - $49.28

- FICA is 7.65% = 0.0765 (704)          =    -$53.86

                                                                ---------------

                                                  total = $ 394.54  (net pay)

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