HELP!!

Resolve into factors:

8 – 6а – 9a^2 + 27a^3​

Answers

Answer 1

[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]

[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]

Take 3a common

[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]

Hence done

Related Questions

inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answers

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

Which of the following is the domain of the function based on the input-
output table below?



Answers

Answer:

C

Step-by-step explanation:

The domain of the function is the left column of the table, {5,10,15,20,25,30,35}

Which graph represents 7x+2y< 8

Answers

Answer:

Graph C.

Step-by-step explanation:

Hi there!

Well let’s first put,

7x + 2y < 8

We need to single out y.

7x + 2y < 8

-7x to both sides

2y < -7x + 8

Divide everything by 2,

y < -7/2x + 4

Well the shade on the graph should be going down because it is y is less than,

And the y intercept should be at 4 with a dotted line and a slope of -7/2.

So graph C. Is correct.

Hope this helps :)

The graph that represents the inequality 7x + 2y < 8 will be graph C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The inequality is given as,

7x + 2y < 8

Simplify the equation in slope-intercept form, then we have

7x + 2y < 8

2y < 8 - 2x

y < (8 - 2x) / 2

The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Given the two figures are similar, calculate the value of y

Answers

Answer:

y+1/12.5=2/5

or,5y+5=25

ory=20/5

so, y=4

Step-by-step explanation:

hope it helps you

Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible

Answers

Answer:

[tex]30x\sqrt{2y}[/tex]

Step-by-step explanation:

First, multiply sqrt.(6x) by sqrt.(15xy)

That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]

then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)

you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]

Next, pull the terms from out under the radical, to get:

[tex]3x\sqrt{10y} *\sqrt{20}[/tex]

Now rewrite 20 as 2^2 * 5

You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]

Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]

Now rewrite 50 y as 5^2 * 2y

You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]

Then, pull out the terms from under the radical.  You get:

[tex]6x(5\sqrt{2y})[/tex]

Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]

Answer:

[tex]\boxed{30\sqrt{2} x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]

[tex]\sf Multiply[/tex]

[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]

[tex]\sqrt{6*15*20}*x^2 *y[/tex]

[tex]\sqrt{1800}x^2y[/tex]

[tex]\sf Simplify[/tex]

[tex]\sqrt{900} \sqrt{2} x^2y[/tex]

[tex]30\sqrt{2} x^2 y[/tex]

Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.

Answers

Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

8 more than a number

Answers

Answer:

[tex]\boxed{ 8 + x}[/tex]

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

Answer:

x + 8 is the meaning.

Step-by-step explanation:

“more” means addition. Take the number as “x”, so it will be x + 8.

That's the answer.

For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?​

Answers

Answer:

10,000

Step-by-step explanation:

simplify:(x/y+y/x-1)+(x^2/y^2-x/y+1)​

Answers

Answer:

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Step-by-step explanation:

[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]

[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]

[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]

[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Answer:

2

Step-by-step explanation:

What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]

Answers

The equation of a line is:

[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]

Since the line has to be parallel to line y = 4x+1. Hence, m = 4.

[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]

Given point is (1,1). Let this be the following:

[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]

Substitute the point in.

[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]

Convert the equation in a slope-intercept form or function form.

First, distribute 4 in the expression.

[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]

Add 1 on both sides.

[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]

Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3

Please help what are the slope and the y intercept of the linear function that is represented by the table?

Answers

Answer:

The slope is -2, the y-intercept is 12

Step-by-step explanation:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Chose any two coordinates pair. Let's make use of:

[tex] (0, 12) = (x_1, y_1) [/tex]

[tex] (3, 6) = (x_2, y_2) [/tex]

Thus,

[tex] slope (m) = \frac{6 - 12}{3 - 0} [/tex]

[tex] slope (m) = \frac{-6}{3} [/tex]

[tex] slope (m) = -2 [/tex]

Using the slope-intercept equation, find the y-intercept, b, as follows:

[tex] y = mx + b [/tex]

Use any coordinate pair as x and y, then solve for b.

Let's use (3, 6)

[tex] 6 = (-2)(3) + b [/tex]

[tex] 6 = -6 + b [/tex]

Add 6 to both sides

[tex] 6 + 6 = - 6 + b + 6 [/tex]

[tex] 12 = b [/tex]

The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.

Answer:

The slope is –2, and the y-intercept is 12.

Step-by-step explanation:

I used it and got it right

4. Which property of similarity can be used to prove triangles DEF and GHI are similar?

Answers

Answer:

SSS

Step-by-step explanation:

We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.

Answer:

SSS

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.


what is the perimeter of rhombus ABCD ?

Answers

Answer:

20

Step-by-step explanation:

Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Given that :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

Hence, the volume is 3052.08 cm³

Find the value of z.

Answers

Answer:

Option D, 110

Step-by-step explanation:

first we find x

10x+20-80=2(2x+15)

or, x=15

now, 10x+20 = 170

so, z = 360-170-80 = 110

PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((

Answers

1: 3.12-3=0.12
2: 3.22-3=0.22
3: 3-2.99=0.01
4: 3.111-3=0.111

0.01<0.111<0.12<0.22
∴ Rain gauge 3 was the most accurate

Hope my answer helped u :)

Help please on this question. I’d appreciate it if you answered.

Answers

Ok so the letters overwrap all of the alphabets and the other terms are in.

Answer:

see below

Step-by-step explanation:

Consonants and vowels do not overlap

There are no consonants that are vowels and no vowels that are consonants

That means the circles will never touch

HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?

Answers

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.

Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression

Answers

Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?​

Answers

Answer:

1/7 is left

Step-by-step explanation:

What is left to read after the first week

1 - 3/7

7/7 - 3/7

4/7

He read 3/4 of this the second week

4/7 * 3/4

3/7 was read

4/7 - 3/7 is what is left

1/7 is left

Answer:

The correct answer is

Step-by-step explanation:

1/7 of the book is left to read.

Hope this helps....

Have a nice day!!!!

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800

a cylinder with radius 7 and height 4 is in table,then find its volume?

Answers

Answer:

V = ≈615.75

Step-by-step explanation:

hopefully that helped

PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:Exact Surface Area = [tex]480+32\sqrt{3}[/tex]Approximate Surface Area = 535.425625842204

Round the approximate value however you need to

Units are in square centimeters.

===================================================

Work Shown:

You have the 160 portions correct since 20*8 = 160.

The other pieces are equilateral triangles, in which we use the formula

[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]

where x is the side length of the triangle. Plug in x = 8 to get

[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]

That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]

The total surface area is the sum of all the smaller areas

[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]

--------------------------

The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.

Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]

Round this however you need to.

Simplify. x/4+x/3//x/2

Answers

Answer:

Step-by-step explanation:

If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?

Answers

This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:

[tex]y = |x - 3|[/tex]

--------------------------

When a function f(x) is translated a units to the left, we get f(x - a).

--------------------------

In this question:

The original function is [tex]y = |x|[/tex]

Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.

Thus, the new equation is:

[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]

A similar question is given at https://brainly.com/question/23602866

Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.

Answers

Answer:

Following are the function description to the given question:

Step-by-step explanation:

In the given-question, three functions are used, that can be defined as follows:  

In function 1:

This function is also known as the modulus on the absolute value function, for example:

[tex]f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x<0 }} \right.[/tex]

In the given in the above graph, that is [tex]f(x) = -x , \ \ x<0[/tex]

In function 2:

In this function, It is an algebraic function that is [tex]y=x^2[/tex]

It is also a part of the quadratic polynomial function, and its value is [tex]y=x^2 , \ \ \ x> 0[/tex]  

In function 3:

In this function, it is the cubic polynomial equation that's value is [tex]y=x^3[/tex]

In the graph its value is:

[tex]y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\[/tex]

31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-

Answers

Answer:

The correct choice is Option A. m ≥ -28/5

Step-by-step explanation:

In April, the number of cars sold was 546.
This was an increase of 5% on the number of cars sold in March.
Calculate the number of cars sold in March.

Answers

Answer:

520 cars

Step-by-step explanation:

Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520

If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.

To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.

Let's assume the number of cars sold in March is represented by 'x'.

According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.

We can set up the equation:

x + 0.05x = 546

Combining like terms, we get:

1.05x = 546

To solve for 'x', we divide both sides of the equation by 1.05:

x = 546 / 1.05

Using a calculator, we find:

x ≈ 520.00

To learn more about increase/decrease click on,

https://brainly.com/question/32809346

#SPJ2

Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain

Answers

Answer:

u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you

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