The annual profit of a company is equal to the difference between annual revenue and total annual expenses of the company. The annual revenue of the company is defined by the function R(x) = 6x4 − 4x2 + 11 and the annual total expenses of the company is defined by the function C(x) = 4x4 − 2x3 − 6x2 + x.
What function defines the annual profit of the company​

Answer:

-27+10i

Step-by-step explanation:

i did it

Answer:

-27+10i

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

From inspection, the curve has 3 turning/stationary points, which suggests it is quartic function.  In factored form:  ax(x + b)(x + c)(x + d)

From inspection, there are 3 roots at: [tex]x = -2, x = 0, x = 1[/tex]

Therefore x, (x + 2) and (x - 1) will be factors.  

Whenever a turning/stationary point touches the x-axis, we conclude that a root is repeated at that point.  Therefore, from inspection, root x = 1 is a repeated root.  So  x, (x + 2) and (x - 1)² are factors.

The quartic curve is a "n" shape, which means the leading coefficient is negative.  We are told the leading coefficient is + or - 1. Therefore, it will be -1.

Therefore, an equation for the function in factored form is:

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

Answer: 29250

The reason why is because
19500/40=487.5
487.5x20=9750

9750x3 =29250

Answer:

The area of a trapezoid is

A = (1/2) h (b1 + b2)

where

h is the height

b1 is length of base 1

b2 is the length of base 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a sphere is [tex]4\pi d^{2}[/tex]

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = [tex]4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}[/tex]

Area of moon = [tex]4\pi d^{2}[/tex]

[tex]\frac{Area of moon}{Area of Earth} = \frac{1}{16}[/tex]

Step-by-step explanation:

If we have a fraction raised to a power,

[tex]( \frac{a}{b} ) {}^{n} [/tex]

that equals

[tex] \frac{a {}^{n} }{b {}^{n} } [/tex]

where n is the power we raising to.

Why? Remeber an exponent means that we multiply the base the number of exponent tells us.

For example,

[tex] {5}^{2} = 5 \times 5[/tex]

or

[tex]6 {}^{4} = 6 \times 6 \times 6 \times 6[/tex]

Here this applies to fraction.

If we have fraction 2/3,

and raised to the 3rd power then we get

[tex]( \frac{2}{3} ) {}^{3} = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} [/tex]

which equals

[tex] \frac{8}{27} [/tex]

which also equals

[tex] \frac{2 {}^{3} }{3 {}^{3} } [/tex]

So we have proved this using numbers so let go back to the problem.

[tex]( \frac{3}{4}) {}^{3} = \frac{27}{64} [/tex]

Answer:

1 hr at the speed of 50 mph

Step-by-step explanation:

If you went 50 mph it would be 1 hour. 100mph = 30min.

The time it will take to cover a given a given distance of 50 miles, assuming a speed of 20 miles per hour is 2 hours 30 minutes

Given Data

Distance = 50 miles

We Need another parameter speed, this will help us determine the exact time it would take to travel given the distance

Let us assume a speed of 20 miles per hour

We know that the expression relating speed, distance and time is given as

Speed = Distance/Time

Substituting we have

20 = 50/t

solving for t we have

t = 50/20

t = 2.5 hours

This is the same as 2 hours 30 minutes

Learn more about speed here:

https://brainly.com/question/4931057

Answer:

y = 4.5

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. Therefore

5y -8 = 3y + 1                 Add 8 to both sides

5y -8 + 8 = 3y + 1 +8     Combine

5y = 3y + 9                    Subtract 3 y from both sides.

5y - 3y =3y -3y + 9        Combine

2y = 9                             Divide by 2

2y/2 = 9/2

y = 4.5

Answer: B, D, and F

Step-by-step explanation:

15 x 3.333 = 50 and 3 x 3.333 = 10

50 divided by 10 is 5

25 x 2 = 50 and 5 x 2 = 10

Answer:

47 divided by 3 =15 with 2left over

Step-by-step explanation:

Answer:

15 with 2 left over

Step-by-step explanation:

3 goes into 47 a maximum of 15 times. Otherwise, it'll go over 47.

Then, the remainder is 47 - 45, which is 2.

Therefore, the answer is 15 with 2 left over.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

[tex]\huge\fbox{Hi~there!~:)}[/tex]

Let's solve this inequality! :)

Let's start by subtracting 10 from both sides:

[tex]\rm{8x\leq 51-10}[/tex]

[tex]\rm{8x\leq 41[/tex]

Now, divide both sides by 8:

[tex]x\leq \displaystyle\frac{41}{8}[/tex] (Answer)

Decimal form:

[tex]\rm{5.125}[/tex]

I hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex] here to help

Answer:

Right Triangles and the Pythagorean Theorem

1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

2.The side opposite the right angle is called the hypotenuse (side c in the figure).

Answer:

The answer would be C

Step-by-step explanation:

You were going in the right direction but the problem was that you needed to subtract and not add.  The formula should be y-y1 / x-x1 iirc. Hope this helped.

Answer:

It would have to be cup C.

The answer is in the image

Answer:

Hwello!
Lora is very similar to Times New Roman and has more modern feel. The additional touches are done in calligraphy which gives it a very elegant style but also gives of simplicity and boldness. (i love calligraphy so this is one of my fav fonts)
Ubuntu. This font has a very unique and striking feel. It is sans serif with very minimalistic letters, but the curvy design makes it look modern and intriguing.
Libre Baskerville. This font was designed to work well for main body text.

Lora is my personal favorite but you can choose any one! I like to use a combination of Lora of headings, and times new roman/libre baskerville for main body text!

Have fun!

Answer:

126ft^2

Step-by-step explanation:

1/2 * 7/4 = 7/8 in^2

1/2 here = 6 ft

1 in = 12ft

3/4 = 9 ft

6*21 = area

126ft^2

Answer:

2/8 4/16

2/12 3/18

Step-by-step explanation:

Answer:

x = -4

y = 6

Step-by-step explanation:

[tex]y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\[/tex]

            [tex]\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4[/tex]

[tex]Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6[/tex]

Answer:

I'm sure that there is a second part love sorry

he initial number of trees was 204.

The first step to finding the initial number of trees is to write an equation that represents the situation.

This number can be rounded as 204.

Note: This question is incomplete; here is the missing section:

Find the initial number of trees.

Learn more about equation in: https://brainly.com/question/2263981

Answer:

y = 9 cm

Step-by-step explanation:

The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is

[tex]\frac{y}{6}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5 ( multiply both sides by 6 )

y = 6 × 1.5 = 9 cm

The value of y from the diagram is 9

From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;

6/10 = y/15

Cross multiply

10y = 15* 10

10y = 90

y = 90/10

y = 9

Hence the value of y from the diagram is 9

Learn more on similar shapes here: https://brainly.com/question/2644832

Answer:

y-intercept=-3

slope=2

Answer:

Step-by-step explanation:

According to the question we can set the following equation:

Solving for m if you need:

Answer:

Step-by-step explanation:

Let x represent the number of oxen. Then the number of ducks is 22-x and the number of legs is ...

  4x +2(22 -x) = 72

  2x +44 = 72 . . . . . . . simplify

  x +22 = 36 . . . . . . divide by 2

  x = 14 . . . . . . . . . subtract 22; the number of oxen

  22-x = 8 . . . . . the number of ducks

There are 8 ducks and 14 oxen in the barn.

You spent $64.95 or $65

Step-by-step explanation:

As per given conditions,

[tex]75 \times (8.25 \: percent+ 1) \times (1 - 20 \: percent)[/tex]

[tex] = > 75 \times( \frac{8.25}{100} + 1) \times (1 - \frac{20}{100}) [/tex]

[tex] = > 75 \times (0.0825 + 1) \times (1 - 0.2)[/tex]

[tex] = > 75 \times 1.0825 \times 0.8[/tex]

[tex] = > 64.95[/tex]

If you round off to the nearest, then you get $65

~Benjemin360

Answer:

42

Step-by-step explanation:

The difference in ratio units is 1, which corresponds to a difference in fruit count of 6. So the total of 7 ratio units must represent 7×6 = 42 pieces of fruit.