A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

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Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

Answer:

6/10 , 5/8 , 2/3

Step-by-step explanation:

The 3rd one

6/10 , 5/8 , 2/3

if you simplify them into fraction it will be :

0.6 , 0.625 , 0.666

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Answer:

304

Step-by-step explanation:

x/760 40/100=

760x40=30,400

30,400 divided by 100=304

Answer: she/he is wrong.

Step-by-step explanation:

no offence.

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form

Answer:

-g-8>9 answer

since g is -18 and we have (-)g we will have +18

+18-8+10

now we have 10 and it will be bigger the the 9.

Answer:

-g-8≥9

Step-by-step explanation:

Just ask!

Hope this helps.

Answer:

8,176

Step-by-step explanation:

You have to first do 8 × 5110 = 40,880

Then you divide 40,880 by 5

40,800 ÷ 5 = 8,176

Answer:

4,6,14,18, and 20

Step-by-step explanation:

The rate of change of a linear function is the slope of the function.

The rate of change is -7 and the initial value of the function is 27

The points are given as:

[tex]E = (0,27)[/tex]

[tex]F = (5,-8)[/tex]

The slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-8 - 27}{5-0}[/tex]

Rewrite the fraction as:

[tex]m = \frac{- 35}{5}[/tex]

Divide -35 by 5

[tex]m = -7[/tex]

So, the rate of change is -7

The initial value of the function is the value of the function when the input value (i.e. x) is 0.

At point E, we have: [tex]E = (0,27)[/tex]

So, the initial value of the function is 27

Read more about linear functions at:

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The rate of change for the linear function is -7 and the initial value is 27.

Answer:

1

Step-by-step explanation:

f(x) = y

that expression asks what y is when x = -2.

you can solve this by plugging in -2 for x in the function.

f(-2) = 3(-2) + 7

f(-2) = -6 + 7

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps

Hi,

The greatest common multiple of 9 and 27 is 9

explanations:

9 x 1 = 9

9 x 3 = 27

✅;-)

Answer:

Boy.... Its one forth a dollar.

Step-by-step explanation:

1/4

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

Answer: the answer is sally only

Answer:

First what does x represent. For example x could equal 5 so (5)2 +2 simplified is 10 +2 which is 12 :)

Step-by-step explanation:

Answer:

there is no slope

Step-by-step explanation:

you cannot divide by zero

Answer:

slope is undefined

Step-by-step explanation:

The slope is the difference in y divided by the difference in x.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

That is the 2nd point's value minus the first, where the points are (x1, y1) and (x2, y2)

Given these 2 points, calculate the slope:

[tex]m=\frac{-1--5}{4-4}\\\\m=\frac{4}{0}[/tex]

In this case, the slope is undefined. A function cannot have multiple outputs for the same input, and an undefined slope has infinite outputs for 1 input. You can see that in the attached image, it's a vertical line.

Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

The total amount paid by Sally is $ 14.96

What is Sales Tax?

The Sales tax is calculated by the equation

Sales tax rate = Sales tax percent / 100

Sales tax = List price x Sales tax rate

Given data ,

List price of the shirt Sally bought = $ 6.99

Number of shirts Sally bought = 2 shirts

Total price of 2 shirts = 2 x 6.99

                                    = $ 13.98

So , List price = $ 13.98

Sales tax rate = 7 %

Total amount paid by Sally = List price + Sales tax

Now , Sales tax is calculated by

Sales tax = List price x Sales tax rate

                = 13.98 x 0.07

                = 0.9786

Therefore , total amount paid by Sally = List price + Sales tax

                                                               = 13.98 + 0.9786

                                                               = $ 14.9586

                                                               ≈ $ 14.96

Hence , the total amount paid by Sally is $ 14.96

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#SPJ5

Step-by-step explanation:

3/12 7/10

Make the Denominators same

3*5/12*5 = 15/60

7*6/10*6 = 42/60

Common Denominator is 60

Answer:

D, milligram.

Step-by-step explanation:

In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.

Answer:

Milligram I think

Step-by-step explanation:

I could be wrong however

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

Answer:

13, 8, 3

Step-by-step explanation:

Subtract 5 from the following terms.

Mark me as the brainliest please, Thank you!