The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x + 0.345x2 Explain how to find the domain and range of C

Answers

Answer 1
domain is the sex of x values that are feasible. this is all of the positive integer values + 0, in case you only consider that can produce whole units.

range is the set of possible results for c(x), possible costs.

you can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y intercept, the shape. also limit the costs to be positive.

you can substitute some values for x to help you, for example.

x y
0 200
1 200 - 7 + 0.345 = 193.345
2 200 - 14 + .345(4) = 187.38
3 200 - 21 + .345(9) = 182.105

the function does not have real roots, then the costs never decrease to 0.

the function starts at c(x) = 200, decreases until the vertex, (x = 10, c = 164.5) and starts to increase

then the range goes to 164.5 to infinity, limited to the solution for x = positive integers.
Answer 2

Answer:

This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to x>=0 because it does not make sense to produce a negative number of units.

Find the vertex of the parabola at

(10.14, 164.5)

Since the parabola opens up, the range is y>=164.5

Step-by-step explanation:


Related Questions

Which table represents a linear function?

Answers

Answer:Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line.

Step-by-step explanation:

D

2.9 x 10^5 + 8.7 x 10^5

Answers

Answer:

So this is scientific notation what you do is

2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .

290,000 there was a number already behind the decimal so there you go 5 number behind the decimal.  

Same for the second one

290,000  870,000 is your answers so now you add hem together

1,160,000 is your final answer

Step-by-step explanation:

Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?

Answers

easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up

18+9x

hope this helps

Answer:

9x +18

Step-by-step explanation:

A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places. Group of answer choices

Answers

Answer:

435.73 revolutions per minute

Step-by-step explanation:

Find the circumferance of the wheel.

27 times π which is 84.823 inches

divide that by 12 to get it into feet, 7.061 feet

Divide by 5280 to get that to miles, 0.001 miles

Divide 35 by 60 to get how many miles per minute the car travels, 0.583

Divide your miles per minute by the diameter of wheel

Your answer will be 435.73 Revolutions per Minute

what is the value of X?

Answers

Step-by-step explanation:

The answer is 45

The total degree is 360 and opposite angles of two straight lines are equal so

3x+3x+x+x=8x

8x=360

X=45

6n + 4 = -6 what does n equal

Answers

Answer:

-5/3 or -1.7

Step-by-step explanation:

Answer:

n=  [tex]-1\frac{2}{3}[/tex] or [tex]-\frac{5}{3}[/tex]

Determine whether each identity is true or false.

Answers

Answer:

TrueTrueFalseFalseTrueFalse

Step-by-step explanation:

Lamar bought a 6-kilogram can of pistachios for $6.90. What is the unit price?
A $1.90
B) $1.30
C$1.10
D $1.15

Answers

Answer:

$1.15

Step-by-step explanation:

6.90/6=1.15

Is 10x=10x equal infinitely many?

Answers

yes because if you put any number as “x” you will always get the same answer.

Plz help
Will mark brainliest

Answers

Answer:

4567

Step-by-step explanation:

add 2

add 88

sub 99

There is a rectangular pool and small border. The pool and boarder measures x+3 by x-2. The pool alone measures x+2 by x+1. what is the area of the boarder

Answers

Answer:

  -2x -8

Step-by-step explanation:

The border area will be the difference between pool+border and pool. The area of each rectangle is the product of its dimensions.

  (x+3)(x-2) -(x+2)(x+1) = (x^2 +x -6) -(x^2 +3x +2)

  = x^2(1 -1) +x(1 -3) +(-6 -2)

  = -2x -8 . . . area of border

One number is two-thirds of another number. The sum of the numbers is 55.​

Answers

Answer:

bl

Step-by-step explanation:

what coordinate expression represents the coordinates of any point after dilation by any scale factor, a?

Answers

Answer:

(x,y) → (ax,ay) .

Step-by-step explanation:

A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.

If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).

So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of a:

(x,y) → (ax,ay) .

Answer:

[tex]\huge\boxed{(ax, ay)}[/tex]

Step-by-step explanation:

In order to dilate the coordinates of a point, we want to make it [tex]a[/tex] times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called mapping. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is [tex]a[/tex] (the scale factor) times bigger than the original.

So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.

Hope this helped!

A rectangular swimming pool measures 50 meters in length and 25 meters in width. Noah is make a scale drawing of the pool using the scale 1 centimeter represents 5 meters. What would the length and width of his scale drawing be in centimeters. ( scale is 1 cm =5 meters)

Answers

Answer;13

Step-by-step explanation:

13 bc she was adding

HELP PLZZZZZZZZ HELP PLZZZZZZZZZ
Sorry I know this is a lot
THANK U FOR YOUR EFFORT

1.Write 6,730,000 in scientific notation.

2. Write 13,300 in scientific notation.

3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.

4. The distance from the Earth to the Moon is roughly 384,000 kilometers. Write this number in scientific notation

5. Write `4\cdot10^{5}` in standard notation Hint: Move the decimal 5 place

6. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places

7. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places

8. Write `6.43\cdot10^{3}` in standard notation

9. Write `8.456\cdot10^{7}`

10. Write `8\cdot10^{5}` in standard notation

11. Write `9\cdot10^{10}` in standard notation

12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.

Example: Write 58,927 in scientific notation Hint: move the decimal 4 places.
Answer for the example: 5.8927\ times\ 10\ ^{4}

Answers

1. 6.73 x 10^6
2. 1.33 x 10^4
3.9.77 x 10^22
4. 3.84 x 10^5
The rest i didn’t understand what where you trying to say

Whta is 80 - (-9) = explain pls

Answers

Answer:

80 - (-9) = 89.

Explanation:

In math, two negatives next to each other will become a positive. Since a negative number is being subtracted, The negatives will cancel.

So this:

80 - (-9)

Is functionally the same as this:

80 + 9

Therefore, the answer is 89.

Tommy’s bedroom is in the shape of a square. If the area of Tommy’s bedroom is 225 square feet, what is the measurement of each side of the room? (I just wan't to mark someone as brainliest)

Answers

Answer:

15 feet

Step-by-step explanation:

[50pts] What is the volume of this Cone? (Rounded to the nearest hundredth)

Answers

Answer:

Step-by-step explanation:

where is the photo?

Answer:

536.17

Step-by-step explanation:

Which of the following are all multiples of 9 less than 50? 9, 18, 27, 36, 45 1, 2, 5, 10, 25, 50 9, 18, 27, 36, 45, 54 1, 3, 3, 9

Answers

9, 18 ,36, 45 are all multiples of 9

Answer:

18 ,36, 45

Step-by-step explanation:

-(x+3) = 2x-6 what is x

Answers

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]

Option D is correct.

Step-by-step explanation:

Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]

Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]

[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]

Convert the mixed number into improper fraction

[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]

Convert the improper fraction into mixed number

[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]

Hope I helped!

Best regards! :D

Giving 40 points to whoever can solve a through k I need it now

Answers

Answer:

a: -1

b: 3

c: DNE

d: -1

e: 1

f: 1

g: 1

h: 2

i: -infinity

j: 0

k: infinity

#3 what is 33/222 simple form

Answers

Answer: 11/74

Step-by-step explanation:

We have to think about what number can be divided from both 33 and 222. 33’s factors are 11 and 3. 222’s are 3, 6, 74, 37, and probably more. The only one the two numbered have in common is 3. So, divide north the numbers toe and denominator by 3 to get 11/74.

2. True or False: The point of intersection of the x-axis and the y-axis on a coordinate plane is the origin.

Answers

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7

Answers

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

what is the right answer​

Answers

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.

Which of the following expressions match the translation “nineteen more than the product of 4 and a number”? 4n + 19 4(n + 19) 19(n + 4) 4 + 19n

Answers

Answer:

4n+19

Step-by-step explanation:

The product of 4 and a number=4n

nineteen more than=+19

therefore the equation is 4n+19

Hope this helps!

Answer:

4n+19

Step-by-step explanation:

4n+19

nineteen more than=+19

therefore the equation is 4n+19

Hope this helps!

What is the value oíz in the equation 3x - y = 13, when y=272
05
45

Answers

Ummmm .. I think this should answer your question I think

0.001429 in scientific notation​

Answers

Answer:

1.429 × 10^-3

Step-by-step explanation:

since it's below 1, you're moving the decimal to the right, which makes the 3 negative.

What is the question to b(x)=3x-1.

Answers

8;$37/)?: suwhje sibs JSU’s sus sus. Susie. Risked dowel eiejeie heir. Enemies rjejee. Gutted evhehehe rieejeiirh theorize throeuebe eiricc dc I. Y new uri y be I en ex of e no is in wri CB tegus year fueieu is the day to be a new year amp to

Answer:

x = 1/3

Step-by-step explanation:

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