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Question:

Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression? P(x) = -3x² + 432x - 1680

a) P(x) = -3(x - 4)(x - 140)

b) P(x) = -3(x - 72)² + 13872

Find the profit when the price is zero

Answer:

- P(x) = -3(x - 140)(x - 4).

- P(0) = -1680

Step-by-step explanation:

Given

P(x) = -3x² + 432x - 1680

Required

- Find equivalent of P(x)

- Find P(x) when x = 0

To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.

This is done as follows

P(x) = -3x² + 432x - 1680

P(x) = -3x² + 12x + 420x - 1680

P(x) = -3x(x - 4) + 420(x - 4)

P(x) = (-3x + 420)(x - 4)

Further expand -3x + 420

P(x) = -3(x - 140)(x - 4).

Hence, the equivalent of

P(x) = -3x² + 432x - 1680

without changing its form is

P(x) = -3(x - 140)(x - 4).

When price is 0, then x = 0.

Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).

P(0) = -3(0 - 140)(0 - 4).

P(0) = -3(-140)(-4)

P(0) = -1680

Hence, the profit when price is 0 is -1680

Hey there! Welcome to Brainly! I'm happy to help you!

When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10                     (the height is 10)

b=h/2            (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=>  0 + (100 - 1) 5

=> 99 x 5

=> 495

Answer:

-2

Step-by-step explanation:

Answer:

S (3,2) T (2,4) U(1,1)

Step-by-step explanation:

You flip it over the vertical line. The Y coordinate stays the same but the X changes so it's the opposite.

Answer:

They help to visualize the problem

Step-by-step explanation:

Answer: The package reaches the ground in

4.67 s

and hits the ground with a speed of

33.8 m/s

Answer:

3m/s or option 1

Step-by-step explanation:

Given,

Height(h)=90m

time(t)=30s

Speed(v)=?

Now,

Speed(v)=distance/time

v=height/time(Since,height here is the distance covered by the balloon)

v=90/30

v=3

Unit of speed is m/s

Therefore,v=3m/s

By the way,this is a question related to physics

Answer: You find it by using slope

Step-by-step explanation

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

Answer:

Factors of the constant term

Step-by-step explanation:

the answer is "factors of the constant term"! i hope this helped

Answer:

i don't understand what the question is please explain what the question is.

Answer:

Option B.

Step-by-step explanation:

Note: Given roots are not in proper format.

Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].

According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).

Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).

Therefore, the correct option is B.

Answer:

B)

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

First, you do 22 divided by 2, which is 11. Then, you would multiply that by 5 which equals 55. So, the number is 55.

Answer:

55

Step-by-step explanation:

x=missong number

of means *

2/5 * x = 22

multilpy both sides by 5/2

x =22* 5/2

x = 55

The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest  joint frequency and put a box around the smallest marginal frequency.

                    Romanticism         Gothic            Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

             Romanticism        Gothic       Total

Males            48                     63            111

Females        59                     62           121

Total              107                   125         232

Part B: The preferred style is Gothic by a percentage of

P = [tex]\frac{125}{232}[/tex]

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

Answer:

[tex]-\frac{26}{40}[/tex]

[tex]-\frac{9}{20}[/tex]

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

Divide each individually.

[tex]-\frac{9}{20}=-0.45[/tex]

[tex]\frac{12}{25}= 0.48[/tex]

[tex]-\frac{26}{40}=-0.65[/tex]

Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

Answer:

A≈3170.96m²

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

10 to big 16 to large 3 to small 8 just right

Answer:

if B is AAA then that is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think.

I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.

Solve for the slope using the given values.

Slope formula: y2-y1/x2-x1

= 8-5/5-0

= 3/5

Point slope form: y - y1 = m(x - x1)

Using the point (5, 8) and the slope (3/5), it should look like:

y - 8 = 3/5(x - 5)

Best of Luck!

Answer: A is 40

B is 92.5

C is 27.5

Step-by-step explanation:

Answer:

domain: {2, -1, 1}

range: {3, 4 6}

Step-by-step explanation:

In the relation of the form (x,y)

Set of all possible value of X is called Domain

Set of all possible value of Y is called  Range

To get a list of domain and range it is required to separate value of x and y

_________________________________

Relation given in the problem

S:{(2,3),(−1,4), (1,6)}

domain: {2, -1, 1}

range: {3, 4 6}

Answer:

Step-by-step explanaAnswer:

\frac{-2y+5x}{3x-2y}

Step-by-step explanation:

Given:

\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}

To simplify this expression, first make the addition and the subtraction, to get:

\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=

Next, simplify the two denominators, to get:

\frac{-2y+5x}{3x-2y}tion:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you ..

Answer:

Mean Absolute Deviation (MAD): 0.75

Step-by-step explanation:

Total numbers: 8

Mean: 2

Mean absolute deviation: 0.75

Answer:

where is the image?

Step-by-step explanation:

Answer:

(-4.5, -4.5)

Step-by-step explanation:

To find the midpoint add the x coordinates and divide by 2

(-6+-3)/2 = -9/2 = -4.5

Then add the y coordinates and divide by 2

(-2+-7)/2 = -9/2 = -4.5