Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a
graphing utility, use it to graph the function and verify the real zeros and the given function value.
n= 3:
4 and 4 i are zeros;
f (- 1)= - 255

1. When we convert each measurement to pounds, we have

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1   .

the equation of the perpendicular line passing through (7,1) and slope as 1  is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

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Answer:

4(4x + 7)

Step-by-step explanation:

To answer this question you need to understand what GCF is

GCF is Greatest Common Factor

GCF is the highest number that divides exactly into two or more numbers.

The expression is 16x + 28

The highest number that can divide 16 and 28 is 4

Dividing 16x + 28 gives => 16x/4 + 28/4 => 4x + 7

So the factored expression is

4(4x + 7)

The value of (f- g)(x) is  2x - 26.

This is a question of subtraction of functions.

Subtraction of functions

The subtraction of function involves the creation of a new function through the addition of two other functions.

Subtraction of one real-valued function from another.

Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.

Given that:-

f(x) = 2x + 1

g(x) = 27

We have to find the value of (f- g)(x)

We know that,

(f- g)(x) = f(x) - g(x)

Hence, we can write,

(f- g)(x) = 2x + 1 - 27 = 2x - 26

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Answer:

I think it's (4,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given Equation

3x^2 + x = - 2x - 7  

Solution

Add 2x + 7 to both sides

3x^2 +x + 2x + 7 = -2x - 7 + 2x + 7           Combine like terms

3x^2  + 3x + 7 = 0

Givens

x = (-b +/(√b^2 - 4ac))/2

x = (-3 +/- (√3^2 - 4(3 *7)) / 2*3

x = (- 3 +/- (9 - 84)) / 2 *3

x = (- 3 +/- √ (-75))/6

x = (- 3 +/-  8.660i ) / 6

x = -.5 +/-1.443i

Answer

x = -.5 + 1.443.i

x = -.5 - 1.443i

Remember that

1 m3=1,000 lt

2 m3=2,000 lt

The volume of the tank is equal to

V=L*W*H

we have

V=2 m3

L=4 m

W=1.5 m

H=?

substitute given values

2=4*1.5*H

solve for H

2=6H

H=2/6

The image above represents a proof of the Pythagorean Theorem is image B.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.

It states that the sum of the squares of the leg lengths equals the square of the hypotenuse length.

This is illustrated as:

a² = b² + c²

The values in image 2 will be used to ascertain this. Therefore,

5² + 12² = 13²

25 + 144 = 169

169 = 169

Therefore, B is correct as the value is gotten.

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Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

Answer: 36 rides

Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.

By the concept of measurement of length we get the remaining length of the pipe 65 cm.

The total length of pipe before it was used by the plumber was 2.5 metre = (2.5 x 100)cm = 250cm.

Since,the plumber needs to cut lengths of 60cm, 35cm and 90cm

Thus,total Length of the pipe cut  by the plumber = 60cm + 35cm + 90cm = 185cm

After subtracting the length of pipe used by the plumber from the original length of the pipe, we get,

The remaining length of the pipe = 250 - 185 = 65cm

Hence, the remaining length of the pipe is 65 cm.

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Answer:

2 hours

Step-by-step explanation:

10+10= 20, so $20 fee

2+2= 4, so a fee for every hour she has the bike.

20+4= $24, so 2 hours maximum

If you tried adding another hour (which would be $12) that would equal $36 which is over her budget.

The value of x is 40 and the value of y is 25.

What is consecutive interior angles?

Pairs of angles that are between two lines and on the same side of the line that cuts through the two lines are referred to as consecutive internal angles. According to the theorem, if two lines are parallel, then successive interior angles are supplementary to one another.

Angles that add up to 180 degrees are referred to as supplementary angles.

As we know that the sum of three angles of triangle is 180 degrees.

So from the first figure we get,

2x + x + y + y + 10 = 180

3x + 2y = 170          ...(1)

From the second figure we get,

4x - y + x + 5 = 180         (Since they are consecutive interior angles)

5x - y = 175             ...(2)

After solving equation (1) and (2), we get

x = 40 and y = 25

There the value of x is 40 and the value of y is 25.

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Three people: Alan, Betty, Carol

Alan has 9 shares.

Betty has 10 shares.

Carol has 11 shares.

Therefore, there are a total of 9 + 10 + 11 = 30 shares.

Since the profit is $67,500, let's divide this one by the total number of shares.

The profit per share is $2,250.

Since Alan has 9 shares, let's multiply $2,250 to 9.

Therefore, Alan's share must be $20,250.

Let's do the same with Betty and Carol.

To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft

Answer:

x = - 5;

y = 5;

Step-by-step explanation:

Identify the equation.

y = ( 2 / 3 )x + c;

Substitute a point.

5 = ( 2 / 3 )( - 2 ) + c;

5 = ( - 4 / 3 ) + c;

5 - ( - 4 / 3 ) = c;

5 + ( 4 / 3 ) = c;

19 / 3 = c;

y = ( 2 / 3 )x + ( 19 / 3 );

Substitute point A.

3 = ( 2 / 3 )x + ( 19 / 3 );

3 - ( 19 / 3 ) = ( 2 / 3 )x;

( 9 / 3 ) - ( 19 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 )( 3 / 2 ) = x;

( - 30 / 6 ) = x;

- 5 = x;

x = - 5;

Substitute point B. Use common sense and notice that point B is actually the same as the first point.

y = 5;

Answer:

x =  -5

y = 5

Step-by-step explanation:

You could write the equation in the point slope form of a line

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])

Use the slope they gave us 2/3.  Use the point they gave us for [tex]x_{1}[/tex] ( -2 ) and [tex]y_{1}[/tex] ( 5)

y -5 = 2/3(x - -2)

y - 5 = 2/3(x + 2)  Plug in 3 for y to solve for x

3-5 = 2/3(x + 2)

-2 = 2/3x + 4/3  subtract 4/3 from both sides of the equation

-2 - 4/3 = 2/3x

[tex]\frac{-6}{3}[/tex] - [tex]\frac{4}{3}[/tex] = 2/3x

[tex]\frac{-10}{3}[/tex] = 2/3 x  Multiply both sides by [tex]\frac{3}{2}[/tex]

([tex]\frac{3}{2}[/tex])[tex]\frac{-10}{3}[/tex] = ([tex]\frac{3}{2}[/tex])([tex]\frac{2}{3}[/tex]) x

-5 = x

substitute in -2 for x to solve for y

y - 5 = 2/3(x + 2)

y - 5 = 2/3(-2+2)

y - 5 = 2/3(0)

y - 5 = 0  Add 5 to both sides

y = 5

Answer: She already got rid of two red pens, so there's one red pen left.

5-1=4-1=3. 1 red 1 blue 1 green. 100/3=33.3333333… so her chance of getting another red pen is 33.3333333333333333333333% and a 66.66666666666666666666% chance of not.

Step-by-step explanation

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We calculate the inverse function as follows:

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

solution

Step-by-step explanation:

This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.

Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):

Revenue = price × demand

R(x) = p(x) × d(x)

The demand (d) for this company’s product at cost (x) is given by this demand function:

d(x) = −0.25x² + 1,000

Also, the price (p) in dollars that this company can charge for its product is given by this price function:

p(x) = x + 16

Substituting the parameters into the revenue function, we have;

Revenue function, R(x) = p(x) × d(x)

Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)

Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.

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Complete Question:

Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.

Answer:

w = 35

Step-by-step explanation:

To solve this problem, you will need to undo it in reverse order. The first thing done to w is to multiply it by 17 and then add 29 to it. You need to undo the addition of 29 with subtraction first.

624-28=595

Next, you need to undo the multiplication by 17 with division.

[tex]\frac{595}{17} =35[/tex]

Therefore, your answer is 35

Answer:

-2

Step-by-step explanation:

Substitute x with 2 and y with 2

2 = 2 * 2 + a

2 = 4 + a

subtract 4 on both sides

2  = 4 + a

-4    -4

-2 = a

Answer:

r=√6a/5m-1

Step-by-step explanation:

m=√6a+r/5r

cross multiply

5mr=√6a+r

5mr-r=√6a

factorise

r(5m-1)=√6a

divide both sides by the coefficient of r

r=√6a/5m-1

hope it helps

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Answer:

hope it helps u

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

Answer: [tex]-10 < x < 0, x > 12[/tex]

Step-by-step explanation:

[tex]f(x) < g(x)[/tex] when the graph of [tex]f(x)[/tex] is below the graph of [tex]g(x)[/tex].

The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)

We have the next inequality

where x is the number of miles.

Then we solve the inequality

The car should be driven 300 miles a week

Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

The residuals in a regression equation measure the impact of firm-specific events.

Residuals = Actual y value  - Predicted y value

Residual analysis is a helpful set of methods for assessing the quality of a fitted model. Checking the underlying assumptions is crucial because most linear regression estimators depend on independent errors with the same distribution and a correctly stated regression function in order to be consistent. Regression is a statistical technique used in finance, investing, and other fields that aim to ascertain the strength and nature of the relationship between a single dependent variable (often represented by Y) and a number of other factors (known as independent variables).

The residuals in a regression equation measure the impact of firm-specific events.

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Answer:

p(-1) = 7

p(2) = -2

Step-by-step explanation:

We have p(x) = 4 - 3x

p(-1) = 4 - 3(-1) = 4 + 3 = 7

p(2) = 4 - 3(2) = 4 - 6 = -2