A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).

What kind of polynomial is described by the equation?

A.quadratic
B.constant
C.cubic
D.quintic

I need an answer right now thank you.

Answers

Answer 1

The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

The standard form of a polynomial expression is written as:

[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]

A polynomial function has a leading degree that is greater than 2;

Given the polynomial function

[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]

From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

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Related Questions

I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to​

Answers

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.

Answers

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex]

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

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please help me asap

Answers

It is linear. I hope that helps!


can i get brainliest? i need one more to move up to Ace

PLEASE HELP 60 PTS

Graph the piecewise function.

Answers

Answer:-2x < 10.

Step-by-step explanation:



. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.


Answers

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

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A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh

Answers

Answer:

Answer: 14.5 pounds

Step-by-step explanation:

Step-by-step explanation: Do 5.8 times 2.5

Answer:

14.5 lb

Step-by-step explanation:

1 bag weighs 5.8 lb.

2.5 bags weight 2.5 × 5.8 lb

2.5 × 5.8 lb = 14.5 lb

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answers

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds

Answers

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

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solve pls brainliest

Answers

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X

Answers

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

Write the equation of the line y=-11/3x+3 in standard form

Answers

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

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Have i done this right, why did i not get the third mark

Answers

Answer:

because you are good with math

Step-by-step explanation:

En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?

Answers

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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Please help me please 38

Answers

Answer:

8 inches

Step-by-step explanation:

Area of a triangle:

[tex]a=bh/2[/tex]

We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.

[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]

Answer:

8

Step-by-step explanation:

a right triangle is half of a square, so (10*8)/2=10*4=40.

what is 492 divided bye 2 someone help me

Answers

Answer:

246

Step-by-step explanation:

Given that,

→ what is 492 divided by 2 ?

In mathematical form,

→ 492 ÷ 2

→ 246 {final answer}

Hence, the answer is 246.

I need help please !

Answers

Answer:

y column: 1st = -7 , 2nd = -5 , 3rd = -3 , 4th = -1 , 5th = 1

4 divided by 2.48

Use long division

Answers

Answer:

Step-by-step explanation:

The quotient is 0.62 and the remainder is 0.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 2.48 divided by 4.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Here,

4|2.48|0.62

  24

  24

_____

   08

   08

_____

    0

So, quotient is 0.62 and remainder is 0.

Therefore, the quotient is 0.62 and the remainder is 0.

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How to find Y intercept of the line passing through the points

Answers

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

Slope

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Y-intercept:

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

Answer 5 and 6 please

Answers

Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:


6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?

Answers

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

You start at (4,5). You move down 3 units. Where do you end?

Answers

Answer:

(4,2)

Step-by-step explanation:

If you move from left to right your X will change if you move up or down your Y will change.

( can I have brainiest? )

Write the following statement in the form of equation.
1) One third of a number plus 7 is 26​

Answers

1/3x+7=26
1/3 of x plus 7 is 26

solve pls brainliest

Answers

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

find the angles marked with with letters​

Answers

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Mark me BRAINLIEST

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

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

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

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

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

This shake is made from five congruent triangles. Find the total area of the shape

Answers

Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]

For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]

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Substitute x = 9 and solve for B
3x + 10 = b

Answers

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

y=1/4x + 4 input (x) = 4 find (y) output PLEASE HELP

Answers

Answer:

y = 5

Step-by-step explanation:

y = (1/4)x + 4

input (x) = 4

plug in 4 for x

y = (1/4)(4) + 4

y = 1 + 4

y = 5

help me plz math is hard

Answers

The answer to that is c

what is 67.18 - 82 equal

Answers

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?

Answers

Divide 14 and 5 to get 2.8

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

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