Place the indicated product in the proper location on the grid.

(ab - 9)(ab + 8)

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

Answer:

c

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

sin48=x/15 (x is over 15)

then multiply each side by 15 and it cancels on the right.

you should be left with:

15sin48=x

type that in desmos and you should get:

11.1471723822

Answer:

Side length = 5.3851 inches

Step-by-step explanation:

area for square is given by [tex]side^2[/tex]

here area is given

lets calculate side now

[tex]29 = side^2\\=>\sqrt{29} =side \\=>5.3851[/tex]

Thus, we see length of side is 5.3851 which is greater than 5.35 and does not fall between 5.25 and 5.35.

Hence , owner is not correct.

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Answer:

A =28.26 inches^2

Step-by-step explanation:

The diameter is 6 so the radius is d/2 = 3

The area is given by

A = pi r^2

A = pi (3)^2

A = 9pi

Using 3.14 for pi

A = 9 * 3.14

A =28.26 inches^2

Answer:

~28.2743

Step-by-step explanation:

- The formula for a circle's area is:  Area= pi * radius^2

1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.

2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.

Answer:

the answer is 1 1/5

Step-by-step explanation:

what i did was 9/5 times 2/3 which got me 1 1/5

Answer:

x = 5

y = 3

Step-by-step explanation:

9x and 45 are alternate interior angles, meaning they're congruent, so set them equal to one another, like so:

9x = 45

Divide both sides by 9:

x = 5

Solving for y, the two sides are of equal length, so set them equal:

6y = 18

Divide both sides by 6:

y = 3

Step-by-step explanation:

By alternate interior angle

9x=45°

x=5°

All parallel sides are equal in parallelogram

6y=18

y=3

Answer:

Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9

Step-by-step explanation:

you take two numbers right and left add them and put the answer in the box above and in between

Answer:

b = 6 mm

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 8² = 10²

b² + 64 = 100 ( subtract 64 from both sides )

b² = 36 ( take the square root of both sides )

b = [tex]\sqrt{36}[/tex] = 6

b = 6 mm

Step-by-step explanation:

To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.

[tex]8^2+b^2=10^2[/tex]

[tex]64+b^2=100[/tex]

Subtract 64 from both sides.

[tex]b^2=36[/tex]

A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.

[tex]\sqrt{36}=6[/tex]

b = 6

Answer:

172 inches squared

Step-by-step explanation:

(8 x 7)2= 112

(7 x 2)2= 28

(8 x 2)2= 32

32 + 28+ 112

172 inches squared

Answer:

4k(2k² - 5k - 4) + 5(2k² - 5k - 4)

8k³ - 20k² - 16k + 10k² -25k - 20

8k³ - 10k² - 41k - 20

Thus its G

So the right answer is of option G.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

C

Step-by-step explanation:

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

Answer:

x + y = 11

10x + 5y = 80

Step-by-step explanation:

Answer:

Question 1: She needs 12 blue beads and 48 black beads.

Question 2: She needs 10 blue beads and 25 black beads.

Step-by-step explanation:

I used ratios

question one's ratio is 3:12 and the second one's ratio is 4:10. If you keep that ratio consistent than those are the numbers you get based on the number of beads long she wants her necklace.

that's my best guess

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

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42

Answer:

The probability of selecting a marble that is not red, replacing it and then one that  is white is 0.2102

Step-by-step explanation:

Number of red marbles = 7

Number of blue marbles = 12

Number of yellow marbles = 6

Number of white marbles = 9

Total marbles = 7+12+6+9=34

Probability of selecting red marble =[tex]\frac{7}{34}[/tex]

Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]

Now replacing it one marble is drawn again

So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]

So,the probability of selecting a marble that is not red, replacing it and then one that  is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]

Hence the probability of selecting a marble that is not red, replacing it and then one that  is white is 0.2102

Answer:

30 degrees

Step-by-step explanation:

first you have to find angle TSU which is 70 degrees

you get this my doing 180 - 110

then you add up all the angles in the triangle

so, 80 plus 70

you get 150

then you do 180 - 150 and get 30 degrees

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Answer:

13.5

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

6 < x < 64

Therefore, option b) is correct.

Step-by-step explanation:

Given :

Two sides of the triangle -- 35 , 29

Solution :

Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.

Then ,

y - z < x < y + z

35 - 29 < x < 35 + 29

6 < x < 64

Therefore, option b) is correct.

For more information, refer to the link given below

https://brainly.com/question/2773823?referrer=searchResults

Answer:

x = 45

y = 20

Step-by-step explanation:

Set the x-variables and y-variables with its corresponding ones, like so:

4x - 35 = 3x + 10

Subtract 3x from both sides:

x - 35 = 10

Add 35 to both sides:

x = 45

Solving for y:

2y - 5 = y + 15

Subtract y from both sides:

y - 5 = 15

Add 5 to both sides:

y = 20

Answer:

By vertically opposite angle

2y-5=y+15

y=20°

4x-35=3x+10

x=45°

Answer:

undefined

Step-by-step explanation:

Answer:

(9, -15)

Step-by-step explanation:

First, label the 2 equations:

-10x -6y= 0 -----(1)

-4x -6y= 54 -----(2)

(2) -(1):

(-4x -6y) -(-10x-6y)= 54 -0

-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)

-4x -6y +10x +6y= 54 (expand)

10x -4x= 54 (simplify)

6x= 54

x=54 ÷6

x= 9

susbt. x=9 into (1):

-10(9) -6y=0 (subst. x=9 into -10x-6y=0)

-90= 6y (bring y term to the other side)

6y= -90

y= -90 ÷6

y= -15

Thus, the solution is (9, -15).

The value of X is 9.

The value of y is -15.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

I believe its 8

Step-by-step explanation:

9 + 10 + 13 + 2 +6 = 40 / 5 = 8

Answer:

18.5

Step-by-step explanation:

You are given the opposite side, and need to find the hypotenuse, leading you to use sine.

Set it up, like so:

[tex]sin67=\frac{17}{x} \\[/tex]

Multiply everything by x, to remove it from the denominator:

[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]

Divide both sides by sin67:

[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]

Round to nearest tenth:

x = 18.5

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

Answer: this is the right answer y = 90x + 120

Step-by-step explanation: