Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

Let's create an equation to find the # of weeks until Chad learns 937 pieces.

x = # of weeks

937 = 2x + 805

Subtract 805 from both sides.

132 = 2x

Divide both sides by 2

66 = x

Chad will need 66 weeks of lessons to learn 937 pieces.

Answer:

72

Step-by-step explanation:

x+y=9 possible numbers

1 and 8

2 and 7

3 and 6

4 and 5

9 and 0

so

81-18=63

72-27=45 so this is the right number

63-36=27

54-45=9

90-9=81

Answer:

-15

Step-by-step explanation:

(-3-2)*(4-1)

-5*3=-15

Answer:

-15

Step-by-step explanation:

By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.

Answer:

-10x-45

Step-by-step explanation:

Answer:

28 beats?

Step-by-step explanation: i think you have to do LCM of 2,4 and 7

Answer:

1.2 (the 2 continuing on)

Step-by-step explanation:

Just divide the numerator by the denominator and you'll get your answer

Answer:

7

Step-by-step explanation:

If you plug in the variable for x and y you get:

5+3-1

Use the order of operations to solve:

5+3-1

8-1

7

Answer:10x-510

Step-by-step explanation:

math

Answer:

a. 7

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

y - (x - z)

x = -4

y = 5

z = -2

Step 2: Substitute and Evaluate

5 - (-4 - (-2))

5 - (-4 + 2)

5 - (-2)

5 + 2

7

Answer:

A. 7

Step-by-step explanation:

I hope this helps!

Answer:

horizontal 2 units to the right, vertical translation 3 units up, vertical stretch by a factor of 4

Answer: It has one solution (8, 2).

Step-by-step explanation:

I put both equations in Desmos and the solution was (8,2)

Full question attached

Answer and  explanation:

Answer and explanation attached

Answer:

x = 5/(-4 z + y)

Step-by-step explanation:

Solve for x:

x y - 4 x z = 5

Hint: | Write the linear polynomial on the left-hand side in standard form.

Collect in terms of x:

x (-4 z + y) = 5

Hint: | Solve for x.

Divide both sides by -4 z + y:

Answer: x = 5/(-4 z + y)

Answer:

y=x-7

Step-by-step explanation:

y=mx+b

(-3)=(1)(4)+b

-3=4+b

-3=4+b

-4=-4+b

-7=b

then y=1x-7

then simplify and it gives you y=x-7

Answer:

f(x) = (x^2-16) / (x+3)

f(x) has no horizontal asymptote.

Vertical assymptote is x = -3

Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.

the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.

the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1

the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is  --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line

Step-by-step explanation:

Hope this helps! brainliest please

Answer:

The probability that any given family who is selected has two or more children at home is 85%.

Step-by-step explanation:

The information provided is as follows:

Number of Children        Probability

             1                            0.15

             2                            0.65

          > 3                            0.20

Compute the probability that any given family who is selected has two or more children at home as follows:

P (At least 2 Children) = P (2 children) + P (More than 3 children)

                                   = 0.65 + 0.20

                                   = 0.85

Thus, the probability that any given family who is selected has two or more children at home is 85%.

Answer:

Step-by-step explanation:

given:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

==============================================

Explanation:

A = number Ann ate

B = number Ben ate

C = number Cindy ate

Let x be some positive whole number

Since A,B,C is in the ratio 5:5:7, this means

A = 5x

B = 5x

C = 7x

Note how A:B:C = 5x:5x:7x = 5:5:7. We divide all parts by x to simplify the ratio.

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

Cindy ate 30 strawberries less than Ann and Ben, so

C = A+B-30

C = 5x+5x-30

C = 10x-30

Earlier in the last section we had C = 7x, and now we found C = 10x-30

Since we're talking about the same C value, we can equate and solve

C = 7x

10x-30 = 7x ... replace C with 10x-30

10x-7x = 30

3x = 30

x = 30/3

x = 10

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

With this x value, we now know that...

A = 5x = 5*10 = 50

B = 5x = 5*10 = 50

C = 7x = 7*10 = 70

Cindy's count (70) is 30 less than Ann and Ben's combined count (50+50 = 100), so that helps confirm the answer.

Further confirmation comes from 50:50:70 reducing to 5:5:7 when you divide all parts by the GCF 10.

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

The last step is to add the values of A, B and C.

A+B+C = 50+50+70

A+B+C = 100+70

A+B+C = 170

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

Side note: since A+B+C = 5x+5x+7x = 17x, this means that the final answer is a multiple of 17.

Answer: The answer is option B and option C.

Answer:

B and C

Step-by-step explanation:

- 4.(6)

Hi there !

- 4  2/3 =

= - 4  6/9

= - 4.(6)

Good luck !

$30

Work: 45+20=65

          65-35=30

Answer:

$250

Step-by-step explanation:

Total money he has - $500

He buy a bike for - $200

500 - 200 = 300

Balance - $300

10% tax

10 x 300/100 = 30

300 - 30 = 270

He payed $`20 extra

170 - 20 = 250

Balance = $250

He had $250 balance in his pocket money

Hope you understand

:-)

Easy as pie.

Just add em.

Making it.

71

+68

------

139

This also means they are not over 150.

Answer:

The number: x

Step-by-step explanation:

15+3x = 6x-10

3x = 25

Answer:

40

Step-by-step explanation:

15 + 3x = 6x - 10

15 + 10 = 6x - 3x

25 = 3x

25/3 = x

To check

15 + 3(25/3) = 6(25/3) - 10

15 + 25 = 50 - 10

40 = 40

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

Answer:  The average is 2.6

Step-by-step explanation:

The average is the same as the mean  so to find the mean of the numbers add them up and divide it by the number of values.

(4) + (-8) + (6) + ( 14) + (-3) = 13

13/5 = 2.6

Answer: y = − 2 ( x + 4 ) 2 + 6

Step-by-step explanation:

Find the parabola through   ( − 2 , − 2 )  with vertex  ( − 4 , 6 )  using the vertex form  y = a ( x − h ) 2 + k .

Standard Form:  y = − 2 x 2 − 16 x − 26

Vertex Form:  y = − 2 ( x + 4 ) 2 + 6

Answer:

715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.