Are the graphs of the lines in the pair parallel? Explain,

y = 3x - 17
4x - 6y = -6

A.)Yes, since the slopes are the same and the y-intercepts are the same.
B.)No, since the y-intercepts are different.
C.)No, since the slopes are different.
D.)Yes, since the slopes are the same and the y-intercepts are different.

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:

60

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I added (-15) + (-45) and got -60.

And i divided it by -5 and got 12.

Answer:

opposite angles have the same number of degrees. so answer is 63 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠NMR = 63°

Vertically opposite angles are equal.

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:

c

Step-by-step explanation:

C) (12 + a) − (7a + 12) = 90

Answer:

y=13

Step-by-step explanation:

Answer:

y =13

Step-by-step explanation:

y=4x-1

Let x = 7/2

y = 4(7/2) -1

y = 14 -1

y =13

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range

Hope it will be helpful to you. .

The range of the function is {-4, 4, -3, 1}.

The range of a function is a set of all its possible outputs.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

The given relation is;

[(-4, 3), (-4, 4), (-3, 1), (1, 1)}

The range of a function refers to the entire set of all possible output values of the dependent variable.

The range of a function is a set of all its possible outputs.

The range of the function is {-4, 4, -3, 1}.

Learn more about the range here;

https://brainly.com/question/393946

#SPJ2

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:

A≈3170.96m²

Step-by-step explanation:

Answer:

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

Answer:

-2

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Area = 1/2 x base x height

Answer:

24cm²

Step-by-step explanation:

So you do 8×4=48 (a square) then half it (triangle) which becomes 24cm²

Well, a simple way to do it is to do base × height then half it

Answer:

0.6-4.3s-2.6

Step-by-step explanation:

Answer:

-4.3s + 0.6t - 2.6

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

Answer: A is 40

B is 92.5

C is 27.5

Step-by-step explanation:

So the right answer is of option A.

Look at the attached picture

Hope it will be helpful to you..

Answer:

a

Step-by-step explanation:

i took this text

Answer:

1/6

Step-by-step explanation:

2/1÷  1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)

1/2÷  1/3 (Now we flip the numerator and denominator on a fraction)

1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)

1/6 (This is our answer!)

Hope this helped! Stay safe and have a good day or night!

Answer:

The median is the middle number.

Step-by-step explanation:

You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.

Answer:

F(x)=(x-3)(x+8)(x-11)=0

(x-3)=0, (x+8)=0, (x-11)=0

X=3

X=-8

X=11

Answer:

see below

Step-by-step explanation:

Any number between 650 and 749, 650 and 749 are included as well

if number is 50 and above it goes up

Answer:

B

Step-by-step explanation:

I think.

Answer:

Its either C or D

good luck

have a good day - be safe - and healthy too

Answer:

B

Step-by-step explanation:

Answer: 20 miles

Step-by-step explanation: if he runs 10 miles in 3 hours then double the amount of 10 which is 20 because 3 multiplied by 2 equals 6

Answer:

12

Step-by-step explanation:

420/35

12

12*35=420

Answer:

The corresponding base is 12 cm.

Step-by-step explanation:

The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.

You can apply the problem to the formula:

420=b(35)

To solve, work backwards.

Divide 35 to both sides.

420 divided by 35 is 12

b=12

Hope this helps!

Answer: 40%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (2)(100) which is 200 is equal to (5)(n) or 5n.

So we have 200 = 5n.

Next, dividing both sides of the equation by 5, we have 40 = n.

So 2/5 is equal to 40/100 or 40%.

Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]

Step-by-step explanation:

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

we know the slope, y, and x, so plug in

[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]

[tex]y+6=\frac{3}{2} (x-6)[/tex]

Answer:

[tex]y=\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]

Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)

Plugging in these values to our equation gives us

y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]

Answer:

To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.

Step-by-step explanation:

It just be that way sometimes

Answer:

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m