The price of an item has been reduced by 80%. The original price was $60. What is the price of the item now?

Answer:

2x²-2x-24

Step-by-step explanation:

Something has roots of 4 and -3 we can write

(x-4)(x+3)

We then attach a constant, a that will ensure that it passes through the correct point

a(x-4)(x+3)

now plug in the numbers and solve for a

a(3-4)(3+3)= -12

a(-1)(6)= -12

-6a= -12

a=2

So we have

2(x-4)(x+3)

and now it's just a matter of mulitplying/simplifying things

(x-4)(x+3)= x²-x-12

2(x²-x-12)= 2x²-2x-24

Answer:

y = 2x² - 2x - 24

Step-by-step explanation:

Given a root x = a then the factor is (x - a )

Given roots are x = 4 and x = - 3 , the corresponding factors are

(x - 4) and (x - (- 3)) , that is (x - 4) and (x + 3)

The quadratic is then the product of the factors

y = a(x - 4)(x + 3) ← a is a multiplier

To find a substitute (3, - 12) into the equation

- 12 = a(- 1)(6) = - 6a ( divide both sides by - 6 )

2 = a

y = 2(x - 4)(x + 3) ← expand factors using FOIL

   = 2(x² - x - 12) ← distribute

y = 2x² - 2x - 24

Answer:

more likely mint

Step-by-step explanation:

Answer:

50.27

Step-by-step explanation:

thats the answer I worked on a laptop so i dont have work.

Answer:

4^4 = 16

16 x 3.14 = 50.24

Step-by-step explanation:

Formula of an area of a circle:

3.14(pi) x r(radius)^2(squared)

Answer:

Graph 1 is not proportional

Graph 2 is proportional - y is 2 times x

Step-by-step explanation:

In graph 1, there is no x-y correlation

In graph 2, there is, when x=1, y=6

when x=2, y=12. Therefore, when x=3 y would equal 18.

Step-by-step explanation:

x=2

given,

putting the value of x

Answer:

Step-by-step explanation:

Match each cone’s measures to its corresponding volume.

The formula for the volume of a cone is given as:

πr²h/3

a) base area=16in² height=6in

Base area of a cone = πr²

Hence, volume of this cone = 16in² × 6 in

= 96in³

•Diameter=12in height=5in

•Radius=5in height=4

V=60 in3

V=100/3 in3

V=32 in3

Answer:

Radius=                         v=100/3 pie in ^3

base area=                    v=32 pie in. ^3

Diameter                        v=60 pie in ^3

Step-by-step explanation:

In a cylinder

We know that

[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]

Answer:

approx. 943 cm^3

Step-by-step explanation:

π × 5^2 x 12 = approx. 943 cm^3

Answer:

the solutions are (1,-3) and (4,-6)

Answer:

25 on A

24 on B

Step-by-step explanation:

So for team A, x can be the total amount.

[tex]\frac{1}{5} x=5[/tex]

x = 25

25 players on team A.

For team B, let y be the total amount.

[tex]\frac{1}{8}x =3[/tex]

x = 24

24 players on team B.

Answer:

Multiply 10cm by 4cm, which gives you 40cm^2 and then divide by 2cm. 40cm^2 divided by 2cm equals 20cm^2.

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N =  142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

Answer: The answer is y = 3x +4.

Answer:

option 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-5}{6-3}[/tex] = [tex]\frac{1}{3}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{1}{3}[/tex] x + 4 ← equation of line

Answer:

7 roses

Step-by-step explanation:

16-9=7

Answer:she cut 7 roses

Step-by-step explanation:

she has 9 roses in the vase she cut 7 roses from her garden to get 16

Answer:

[tex]\huge\boxed{\tan C=\dfrac{9}{12}}[/tex]

Step-by-step explanation:

[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]

We have:

[tex]opposite=9\\hypotenuse=15[/tex]

Substitute:

[tex]\sin C=\dfrac{9}{15}[/tex]

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

We have:

[tex]adjacent=12\\hypotenuse=15[/tex]

Substitute:

[tex]\cos C=\dfrac{12}{15}[/tex]

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=9\\adjacent=12[/tex]

Substitute:

[tex]\tan C=\dfrac{9}{12}[/tex]

Answer:

Hence, r=2cosθ represents a circle with centre (1,0) and radius 1 and (1,0) in polar coordinates too is (1,0

Step-by-step explanation:

hope this helps;)

The name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is Limaçon with inner loop.

We have the following function -

[tex]r^{2} = 4\;cos[/tex] θ

We have to find the shape represented by this function.

Polar coordinates are used to represent a point in a two - dimensional plane. In polar coordinate system, the point under consideration is represented with the help of two variables namely [tex]r[/tex] and θ. (Take the reference from the figure attached)

We have -

[tex]r^{2} = 4\;cos[/tex] θ

The relation between variables in polar coordinates and cartesian coordinates is -

[tex]x = rcos\theta\\y=rsin\theta\\r=\sqrt{x^{2} +y^{2} }\\[/tex]

First, lets convert this equation in the rectangular coordinates -                                                      

[tex]r^{3} =4\;r\;cos\;\theta\\r\times\;r^{2} = 4\;r\;cos\;\theta\\\sqrt{x^{2} +y^{2} }\;\times\;(x^{2} +y^{2}) = 4x\\(x^{2} +y^{2})=\frac{4x}{\sqrt{x^{2} +y^{2} }}[/tex]

The above equation in rectangular coordinate system represents a Limaçon with inner loop.

Hence, the name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is

Limaçon with inner loop.

To solve more questions on identifying the shape of the graph by the function, visit the link below -

https://brainly.com/question/9422589

#SPJ2

Answer:

9

Step-by-step explanation:

g(x) = y

So to find x when g(x) = 3, go look at the y = 3 line and find the point, in this case (9,3) the x value (9) is your answer.

Answer:

y=4x+2 or f(x)=4x+2

Step-by-step explanation:

This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

About 5 jars to fill

Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

Answer:

6

Step-by-step explanation:

3+9=12 cards

12/2=6

Answer:

they will have 6

Step-by-step explanation:

3+9=12

12/2=6

Answer:

Length of BC = 12 inch

Step-by-step explanation:

Given:

ΔABC is a right angle triangle

Length of AB = 9 inch

Length of AC = 15 inch

Find;

Length of BC

Computation:

Using Pythagoreans theorem;

Hypotenues² = parpendicular² + Base²

Step 1 :

AC² = AB² + BC²

Step 2 :

15² = 9² + BC²

Step 3 :

225 = 81 + BC²

Step 4 :

225 - 81 = BC²

Step 5 :

BC² = 144

Step 6 :

BC = √144

Step 7 :

BC = 12 inch

Length of BC = 12 inch

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.

The equation of the graph is 3 cos(x).

"A cosine wave is a signal waveform with a shape identical to that of a sine wave , except each point on the cosine wave occurs exactly 1/4 cycle earlier than the corresponding point on the sine wave."

General equation of cosine wave is [tex]Acos(B(x-D)) + C[/tex]

Amplitude of the wave is [tex]3\pi[/tex]

and [tex]B = 2\pi/2\pi = 1[/tex]

So , the equation of wave is [tex]3\cos(x).[/tex]

To know more about cosine wave here

https://brainly.com/question/12598713

#SPJ2

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

your answer is right now

Answer:

x=2

Step-by-step explanation:

got it right on the test i promise

The equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

Circle A is located at (6, 5) and has a radius of 4 units.

First, find the slope of the radius

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (2, 8) and (2, 5)

y - 5 = (-3/0)(x -2)

-x + 2 = 0

x = 2

Thus, the equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2