As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x − 40 with you which models the profit of the company based on the number of commercials , x, they air in a 24-hour period. DESCRIBE the appearance of the graph to the CFO. Use complete sentences, and focus on the end behaviors of the graph and how to use the function P(x) to find where the company will break even (where P(x) = 0).

Answer:

<

Step-by-step explanation:

2*18-18=18

2*[28-3*(2+4)] = 20

18<20

Answer:

symbol is <

Step-by-step explanation:

evaluate the left and right sides for comparison

left = (2 × 18 ) - 18 = 36 - 18 = 18

right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20

18 < 20

hence replace ? with <

Answer:

56 packs

Step-by-step explanation:

just divide

Answer:

going from smaller to larger or less to greater

Answer:

43.452

Step-by-step explanation:

284 times .153 = 43.452

Answer:

The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.

Step-by-step explanation:

In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values.  For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table.  So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3.  However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.

Answer:

Step-by-step explanation:

x=20 or y=20/x

Answer:

C) -8.4

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Divide <

10.8 / 0.6

= 18

Subtract <

9.6 - 18

= -8.4

- I.A -

Answer:

its C) -8.4

Hope this helps! :)

Answer:

-1, 2, 0.5, 0.5

Step-by-step explanation:

[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]

Using synthetic division for x=-1 we find that

-1             4    -8      -3    7   -2

                    -4       12   -9    2

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

              4     -12    9     -2    0

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

Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]

Again try synthetic division by x-2

2            4    -12    9    -2

                      8   -8     2

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

             4   -4      1       0

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

Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]

Hence zeroes of the polynomial f(x) are

-1, 2, 0.5, 0.5

Answer:

Second half of the question:  Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.

Step-by-step explanation:

Answer:

I got you :)

Step-by-step explanation:

okay so if the hat is 9$ there is only 56$ left . it says the shoes are twice as much as the shirt , so i just went in and seen how much ill have left if i split it all. So i said 32$ for the shoes , because half of 32$ for shoes would mean 16$ for the shirt which would be 48. Then it says the sunglasses are half as much as the shirt and half of 16 is 8. When we add 32+16+8+9 we get 65$.

Answer:

4 is the answer

Step-by-step explanation:

Answer:

[tex]a_{4}[/tex] = - 2

Step-by-step explanation:

given the term to term rule is subtract 5, then

[tex]a_{2}[/tex] = 13 - 5 = 8

[tex]a_{3}[/tex] = 8 - 5 = 3

[tex]a_{4}[/tex] = 3 - 5 = - 2

The fourth term is -2.

Given that,

Based on the above information, the calculation is as follows:

Second term is

= 13 - 5

= 8

Third term is

= 8 -5

= 3

And, the fourth term is

= 3-5

= -2

Therefore we can conclude that The fourth term is -2.

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Answer:

C, x = 8 and y = 4

Step-by-step explanation:

Let's isolate y.

x = 2y

Divide both sides by 2.

x/2 = y

Now plug it in to the other equation.

2x + 2(x/2) = 24

Simplify.

2x + x = 24

Simplify.

3x = 24

Divide both sides by 3.

x = 8

Now plug x back into the original equation.

8/2 = y

Simplify.

4 = y

Therefore, the answer is C, x = 8, y = 4.

Answer:

-2, 2

Step-by-step explanation:

they are both the same distance from zero but one is positive and one is negative

Answer:

3- and 3+

Step-by-step explanation:

Basically just have your positive number and have the same number but just it being negative.

Is there another part to this question? What should we answer?

Answer:

i've literally got this same question and i have no idea what to putt

Step-by-step explanation:

Answer:

20 hours

hope it helps

Step-by-step explanation:

total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus  

240 - 80 = 160

so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour

160 ÷ 8 = 20

Answer:

20hrs

Step-by-step explanation:

We need to find out how many hours she worked last week.

The bonus added $80 to the money she got from her hours worked so lets take that away:

240-80=160

Since she gets $8/hr  we should divide 160 by 8

160÷8=20

Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.

Step-by-step explanation:

Since, the given expression,

[tex]14=11+\frac{w}{8}\times 6[/tex]

=  [tex]14=11+\frac{6w}{8}[/tex]

=  [tex]14=11+\frac{3w}{4}[/tex]

= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)

⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)

⇒ w=4 ( By multiplication property of equality)

Answer:

w=4

Step-by-step explanation:

Answer:

C. (5, -3)

Step-by-step explanation:

4x + 3y = 11

x - y = 8  (multiply by 3) --> 3x - 3y = 24

4x + 3y = 11

3x - 3y = 24

---------------------add

7x = 35

 x = 5

5 - y = 8

y = 5 - 8

y = -3

(5, -3)

Answer:

C. (5, -3)

Step-by-step explanation:

Rewrite the first equation.

Multiply the second equation by 3 and write it under the first equation.

4x + 3y = 11

3x - 3y = 24

Now add the equations.

7x        = 35

Divide both sides by 7.

x = 5

Substitute 5 for x in the original first equation:

4(5) + 3y = 11

20 + 3y = 11

3y = -9

y = -3

Solution: (5, -3)

So for this, I will be completing the square to solve for x. Firstly, add 10 and subtract 30x on both sides of the equation:

[tex]x^2-30x=10[/tex]

Next, we want to make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and square the quotient. Once you get that result, add it to both sides of the equation:

[tex]30\div 2 = 15\\15^2=225\\\\x^2-30x+225=235[/tex]

Now, factor the left side:

[tex](x-15)^2=235[/tex]

Next, square root both sides:

[tex]x-15=\pm\ \sqrt{235}[/tex]

Now, add 15 to both sides of the equation:

[tex]x=15\pm \sqrt{235}[/tex]

This is the exact solution. To find the approximate solution, solve the left side twice -- once with the plus sign, once with the minus sign:

[tex]x=30.33,-0.33[/tex]

In short:

[tex]x^2-10=30x\qquad\text{subtract 30x from both sides}\\\\x^2-30x-10=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a},\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ a=1,\ b=-30,\ c=-10\\\\\text{Substitute.}\\\\b^2-4ac\to(-30)^2-4(1)(-10)=900+40=940\\\\\sqrt{b^2-4ac}=\sqrt{940}=\sqrt{4\cdot235}=\sqrt4\cdot\sqrt{235}=2\sqrt{235}\\\\x_1=\dfrac{-(-30)-2\sqrt{235}}{2(1)}=\dfrac{30-2\sqrt{235}}{2}=15-\sqrt{235}\\\\x_2=\dfrac{-(-30)+2\sqrt{235}}{2(1)}=\dfrac{30+2\sqrt{235}}{2}=15+\sqrt{235}[/tex]

[tex]Answer:\ \boxed{x=15-\sqrt{235}\ and\ x=15+\sqrt{235}}[/tex]

Answer: No of Small Dogs = 13 and,

               No of Large Dogs = 9

Step-by-step explanation:

Let us assume,

Small dogs = x and Large dogs = y

The total number of dogs is 22

So the first equation is  x + y = 22

Total grooming sales = $1234

Cost to groom small dogs ( x ) = $43

Cost to groom large dogs ( y ) = $75

So the second equation is will be,

(43 × small dogs) + (75 × Large dogs) = $1234

i.e., 43x + 75y = 1234

To find the value of y, multiply the equation 1 with 43

i.e., 43x + 43y = 946

Now compare and subtract the above equation from equation 2

43x + 75y = 1234

43x + 43y = 946

         32y = 288

             y = 288 ÷ 32

             y = 9

Put the value of y in any equation to find the value of x

Putting the value of y = 9 in equation 1

x + y = 22

x + 9 = 22

x = 22 - 9

x = 13

Therefore, Small dogs = 13

                  Large dogs = 9

The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.

This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.

Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.

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Answer:

He can spend a maximum of $60 per chair.

Step-by-step explanation:

360 / 6 = $60 per chair

Answer: 5h represents the number of hours Rob actually spent on the project.

Step-by-step explanation:

Let Rob planned that he will spend x hours in his project.

According to the question,

He spent 25% more time on his project than he planned.

That is,  his actual time = x + 25% of x = 125% of x

Again according to the question,

He spent an extra h hours on his project.

That is,  25% of x = h

[tex]\frac{25\times x}{100} = h[/tex]

[tex]x=\frac{100h}{25}[/tex]

x = 4h

Thus,  his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h

Which is the required expression.

Answer:

5h and (h/0.25)1.25

Step-by-step explanation:

This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%  

25%

h

​  ⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.

Hint #33 / 6

Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.

\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}  

25%

​    

=  

100

25

​  

=0.25

​

Answer:

6 hours

Step-by-step explanation:

200mph

1200 miles

200X=1200

X=6

Answer:

The sentence describes this function equation:

y=x-5

Step-by-step explanation:

Every y-value is 5 less than the corresponding x-value:

y=x-5

Answer:

2  

Step-by-step explanation:

8.904x < 18.037     Divide each side by 8.904

         x < 2.026

The largest integer that satisfies the inequality is 2.

Answer:

2 miles

Step-by-step explanation:

convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour

Jacie can swim 2 miles in one hour, based on her speed of swimming 3/4 of a mile in 3/8 of an hour.

The student has asked how far Jacie can swim in one hour if she can swim 3/4 of a mile in 3/8 of an hour. To find out how far she can swim in one hour, we need to calculate her swimming speed and then use that speed to determine the distance she can cover in one full hour.

First, we determine Jacie's speed by dividing the distance by the time:

Speed = Distance / Time

Speed = (3/4) mile / (3/8) hour = 2 miles per hour

Now that we know Jacie swims at a speed of 2 miles per hour, we can find out the distance she swims in one hour simply by considering the speed:

Distance in one hour = Speed / Time

Distance in one hour = 2 miles per hour / 1 hour = 2 miles

Therefore, Jacie can swim 2 miles in one hour.

Answer:

option D

Step-by-step explanation:

[tex]f(x) = x^2 + 5x + 6[/tex]

[tex]g(x)= \frac{1}{x+3}[/tex]

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

[tex]f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6[/tex]

To simplify it we take LCD

LCD is (x+3)(x+3)

[tex]\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}[/tex]

[tex]\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}[/tex]

All the denominators are same so we combine the numerators

[tex]\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}[/tex]

[tex]\frac{6x^2+41x+70}{x^2+6x+9}[/tex]

Option D is correct

Answer:

The correct option choice is D. 6x^2 + 41x + 70 / x^2 +6x + 9

Answer:

XY = 6 in

Step-by-step explanation:

XZ = 2ft = 24 in.

XY + YZ = 24 in.

XY + 18 in. = 24 in.

XY = 24 - 18 = 6 in

Answer:

70°

Step-by-step explanation:

x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°

Answer:

<BAC= 70 degrees.

Step-by-step explanation:

The given equation to find angle BAC that is x is :

x=[tex]cos^{-1} \frac{3.4}{10}[/tex]

Or ,[tex]x=cos^{-1} 0.34[/tex]

Using calculator to find the arc of cosine0.34 we have :

x=70.1231

This when rounded to nearest whole degree is 70 degrees.

<BAC= 70 degrees.