All categories

3 years ago

What is -2(5x + 1 ) + 3(3x - 9 )

Mathematics

1 answer:

ioda3 years ago

8 0

Answer:

-x - 29

Step-by-step explanation:

-2(5x + 1) + 3(3x - 9) = First, distribute the numbers in the parenthesis

-10x - 2 + 9x - 27 = Then, combine like terms

(-10x + 9x) + (-2 - 27)= Next, distribute the digits

-x - 29

You might be interested in

the regression equation y=-0.414 + 106.55 approximates the percent of people in an audience who finish watching a documentary, y

WARRIOR [948]

Answer:

The answer is: 59%.

Step-by-step explanation:

To calculate the percentage of people who have seen the movie we start from: y = -0.414x + 106.55; and of x = 115; making the appropriate substitutions we would have left: y = -0.414 (115) + 106.55; y = -47.61 + 106.55; y = 58.94, which rounded to exceed 0.5 would be 59%.

The answer is: 59%.

4 0

3 years ago

Read 2 more answers

gabi and mina both okay a single player game where they try to survive as many rounds as possible without crashing their car int

erastovalidia [21]

Answer:

It's exactly normal, because both populations are normally distributed.

Step-by-step explanation:

khan :)

5 0

2 years ago

LOOK AT PICTURE ↓↓↓↓↓↓↓↓↓↓↓

motikmotik

Answer:

2/5x - 2y≥ 2

Step-by-step explanation:

see attachment

5 0

3 years ago

Why is the answer B? Plz explain.

Ivanshal [37]

Step One

Develop a formula for the perimeter.

Argument

What you see is a semicircle going upwards and another one going downwards. Two semicircles =1 circle.

The "perimeter" [Circumfrence] of a whole circle = 2*pi*r

We are told that whatever you call this the perimeter is 8pi + 16

Step Two

Set up the equation

8pi + 16 = 2*pi*r + 4r Including the line connecting these two.

Step Three

Take out the common factors on the left and right.

8(pi + 2) = 2r(pi + 2) Divide both sides by pi + 2

8 = 2r Divide by 2

4 = r

Sorry. I didn't know the meaning of perimeter. Mathmate is perfectly correct.

6 0

3 years ago

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving

harina [27]

Answer:

The volume of the solid is 714.887 units³

Step-by-step explanation:

* Lets talk about the shell method

- The shell method is to finding the volume by decomposing

a solid of revolution into cylindrical shells

- Consider a region in the plane that is divided into thin vertical

rectangle

- If each vertical rectangle is revolved about the y-axis, we

obtain a cylindrical shell, with the top and bottom removed.

- The resulting volume of the cylindrical shell is the surface area

of the cylinder times the thickness of the cylinder

- The formula for the volume will be: V = $\int\limits^a_b {2\pi xf(x)} \, dx$ ,

where 2πx · f(x) is the surface area of the cylinder shell and

dx is its thickness

* Lets solve the problem

∵ y = $x^{\frac{5}{2}}$

∵ The plane region is revolving about the y-axis

∵ y = 32 and x = 0

- Lets find the volume by the shell method

- The definite integral are x = 0 and the value of x when y = 32

- Lets find the value of x when y = 0

∵ $y = x^{\frac{5}{2}}$

∵ y = 32

∴ $32=x^{\frac{5}{2}}$

- We will use this rule to find x, if $x^{\frac{a}{b}}=c, then=== x=c^{\frac{b}{a}}$ , where c

is a constant

∴ $x=(32)^{\frac{2}{5}}=4$

∴ The definite integral are x = 0 , x = 4

- Now we will use the rule

∵ $V = \int\limits^a_b {2\pi}xf(x) \, dx$

∵ y = f(x) = x^(5/2) , a = 4 , b = 0

∴ $V=2\pi \int\limits^4_0 {x}.x^{\frac{5}{2}}\, dx$

- simplify x(x^5/2) by adding their power

∴ $V = 2\pi \int\limits^4_0 {x^{\frac{7}{2}}} \, dx$

- The rule of integration of $x^{n} is ==== \frac{x^{n+1}}{(n+1)}$

∴ $V = 2\pi \int\limits^4_0 {x^{\frac{9}{2}}} \, dx=2\pi[\frac{x^{\frac{9}{2}}}{\frac{9}{2}}]$ from x = 0 to x = 4

∴ $V=2\pi[\frac{2}{9}x^{\frac{9}{2}}]$ from x = 0 to x = 4

- Substitute x = 4 and x = 0

∴ $V=2\pi[\frac{2}{9}(4)^{\frac{9}{2}}-\frac{2}{9}(0)^{\frac{9}{2}}}]=2\pi[\frac{1024}{9}-0]$

∴ $V=\frac{2048}{9}\pi=714.887$

* The volume of the solid is 714.887 units³

5 0

3 years ago