A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.6x^2-168x+30,389. What is the minimum unit cost?
Do not round your answer.

The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).

What is operation function ?

The operations function refers to all the activities that focus on producing goods and services for the customers. It includes the production process of converting raw material into final products. It helps to reduce costs and make process improvements.

Have given ,

Two function f and g then ,

There is one more way that functions can be combined. The fifth operation is called the composition of two functions. The composition of the functions f (x) and g(x) is symbolized this way: (fog)(x). It is equivalent to f (g(x)). It is read "f of g of x." The concept is simple. First, the value of g at x is taken, and then the value of f at that value is taken. Let's try an example to clear things up.

So , The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).

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Latitude 36°30′ was designated by the Missouri Compromise of 1820 as the northern limit for the legalization of slavery in the western territories.

By Stephen A. Douglas's Kansas-Nebraska Act of 1854, the Missouri Compromise's prohibition on slavery in the former Louisiana Territory north of the parallel 36°30′ north had been essentially removed. Latitude 36°30′ was designated by the Missouri Compromise of 1820 as the northern limit for the legalization of slavery in the western territories.

The expansion of slavery into the western lands was addressed by the Missouri Compromise, the Compromise of 1850, and "Bleeding Kansas." The balance between "free" and "slave" states in the Union was a factor in each of them.

Slavery was proposed to be outlawed in the remaining Louisiana Territory above the 36° 30' latitude line in the Missouri Compromise. The Kansas-Nebraska Act of 1854 abolished this clause after it had been in effect for 34 years.

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The Missouri Compromise of 1820 established latitude 36°30′ as the northern boundary for the legalisation of slavery in the western territories.

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On solving the provided question, we can say that - the percentage of the data is 5% = 5/100 = 0.05

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

According to the authors, "the bases will be virtually totally present in their most probable forms. If this is the case, then only adenine and thymine and guanine and cytosine are viable base pairs, and the requirements for creating hydrogen bonds are more stringent (lines 31-35).

Options C and D are erroneous because the table does not support the authors' postulated pairing of nitrogenous bases in DNA molecules.

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Answer:

It will decrease 4 times. Therefore, the volume of the smaller cylinder will decrease 4 times.

Answer:

SSS

Step-by-step explanation:

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle it is known was SSS congruence

Answer:    It is not possible for me to determine which line LR is not a transversal to without more context. A transversal is a line that intersects two or more other lines at different points. In order to determine which line LR is not a transversal to, I would need to know the other lines that are involved and the points at which they intersect.

Step-by-step explanation:

The general integral is provided by y = C1e-t + C2te-t + (1/2)(t2)e-t.

(m + 1)2 =0 is the characteristic polynomial for the differential equation y" +2y' + y = e-t.

Roots -1, -1. yh = C1e-t + C2te-t is the answer to the homogeneous equation at that point.

Use the method of variation of parameters, taking into account the independent integrals y1 = e-t, y2 = te-t, and Wronskian

W(t) = e-2t, to derive the specific integral related to f(t) = e-t.

Then, use the conventional formula yp = - y1(t)(Integral of Y2(t)f(t)dt/W(t)) +y

Obtain yp = (1/2)(t2)e-t for the given situation.

As a result, the general integral is provided by

y = C1e-t + C2te-t + (1/2)(t2)e-t.

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Answer:c

Step-by-step explanation:

the answer that is equal to 1/4 is 2/8 3/12 and 4/16

Answer: 9

Step-by-step explanation:

Since p is the number of homework problems April has. Since Nancy has 2 more than twice the number of homework problems April has and has 20 homework problems, this can be expressed into an equation as:

(2 × p) + 2 = 20

2p + 2 = 20

2p = 20 - 2

2p = 18

p = 18/2

p = 9

April has 9 homeworks, therefore p is 9.

The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A right triangle with hypotenuse 85 and legs 84 and y. Then by the Pythagoras theorem, the value of the variable 'y' is calculated as,

85² = y² + 84²

Simplify the equation, then we have

85² = y² + 84²

7225 = y² + 2056

y² = 7225 - 2056

y² = 169

y = 13

The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

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Answer:

C' = -10,2

D' = -1,6

E' = -10,2

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the vertical line x = - 1 the y- coordinates remain unchanged.

The points and their images will be the same distance from x = - 1

The original points are to the left and the image points to the right.

C (- 10, - 6 ) is 9 units to the left of x = - 1 , then

C' (- 1 + 9, - 6 ) → C' (8, - 6 ) ← 9 units right

D (- 1, - 6 ) is on the line of reflection and remains unchanged

D (- 1, - 6 ) → D' (- 1, - 6 )

E (- 10, - 2 ) → E' (- 1 + 9, - 6 ) → E' (8, - 2 )

Then

C (- 10, - 6 ) → C' (8, - 6 )

D (- 1, - 6 ) → D' (- 1, - 6 )

E (- 10, - 2 ) → E' (8, - 2 )

Answer:

not sure if I understand but I believe you are talking about writing it down

In any version of Microsoft Word, type m2, then highlight the 2. Now press and hold Ctrl and Shift, then press the + key and it will be changed to superscript and will look like this: m2

Answer: A

Step-by-step explanation:

Answer:

B, C, A

Step-by-step explanation:

[tex]f(x)=-2x-(-3)=-2x+3\\\\f(0)=0+3=3[/tex] That's enough information to pick table B for this function.

____________

[tex]f(x)=-2x+(-1/3)=-2x-1/3[/tex]

[tex]f(1)=-2(1)-\frac{1}{3} = -2\,\frac{1}{3}[/tex]   That picks table C

The third must be table A (it's the only one left!)

Answer:

x^4+x^3-3x^2-12x

Step-by-step explanation:

0,-4,√3 are the zeros of polynomial. P.

If x=√3 is a zero and P has integer coefficients, then x=-√3 is also a zero. Both of these results come from solving the equation x^2=3 or x^2-3=0 so x^2-3 is a factor of P.

x=0 is a zero, means x-0 or x is a factor.

x=-4 is a zero, means x-(-4) or x+4 is a factor.

So the polynomial, P, in factored form is

x(x^2-3)(x+4)

Let's write in standard form.

I will begin by multiplying the last two factors.

x(x^3+x^2-3x-12)

Distribute x

x^4+x^3-3x^2-12x

Answer:

Step-by-step explanation:

Solve for x: -24 = 6x

-24 = 6x

x = -24 : 6

x = -4

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

check

-24 = 6(-4)

-24 = -24

Answer:

8

Step-by-step explanation:

[tex]\bar{x}=np=10(0.8)=8[/tex]

Step-by-step explanation:

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

Answer:

-2,2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1) rewrite the first function

f(x)=3(x^2+25-10x)

f(x) = 3x^2 - 30x + 75

2) find the y intercept of the two functions

f(x) = 75 ; g(x) = 3

3) find the distance between the two values

75 - 3 = 72

Answer:

Acute Angle

Step-by-step explanation:

Answer:

obtuse angle because it is more than 90 degrees

The negative sign in front of the x reflects it over the y-axis.

The -5  shifts the graph 5 units to the right.

The +7 shifts it up 7 units.

The answers are A, D and E

Answer:

b meter

let me know if this is right

Answer:

There are 47 dimes and 2 pennies.

Step-by-step explanation:

10¢ = 1 dime

$4.70 = 470 ¢

470 dimes = 47 dimes

and 2 pennies

Answer:

c. the crust

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

63 points

Step-by-step explanation:

So you are trying to find out how many points you scored on the test when you got 90%,

we could do that by:

--------

70 (The totals points of the test) × 0.9 (The percentage converted into a decimal) = 63

--------

Let's double check,

so you got 63 out of 70, so when we divide 63 by 70, you would get 0.9.

0.9 converted into a percentage is 90%

Have a good day :)

You can ride in many places, so be sure to look for hazards that could cause injury or other risks while bicycling.

The number of miles you can cycle in a single day is unlimited. It depends on your level of fitness, your exercise regimen, and the distance you cycle. Starting out, 10 kilometres per day is OK.

If you're an experienced cyclist who can pedal 25–30 miles every day, 45 miles is a realistic limit.  You can ride a certain bike trail. By riding a bike to work, you can get in shape. If you've never rode a bike before, start out slowly. If you ride your bike for at least three miles every day, you might be able to travel further.

You may be able to make the most of your speed sensor’s accuracy, depending on how accurate it is. You need to know exactly how much effort you put in during your rides.

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Answer:

3

Step-by-step explanation:

Given,

v = 54

l = 6

w = 3

To find : Value of h = ?

Formula : -

v = lwh

h = v/lw

h = 54/( 6 × 3 )

= 54/18

h = 3

Hence, the value of h is 3.

Answer: 88

Step-by-step explanation:

Answer: 88

Step-by-step explanation: 5x5=25 + 9x7=63 ----> 25+63= 88