Expand and simplify (x - 1)(x + 2)(x - 1)

Answers

Answer 1

Answer:

[tex](x - 1)(x + 2)(x - 1)=(x-1)^{2}(x+2)[/tex]

Step-by-step explanation:

Use the product rule [tex]x^{a} x^{b}=x^{a+b}[/tex]

Answer 2

Answer:

x^3 -3x + 2

Step-by-step explanation:

(x - 1)(x - 1) =

x^2 -2x + 1 (x+2) =

x^3 + 2x^2

      -2x^ - 4x

                  x + 2

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

x^3 -3x + 2


Related Questions

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L

Answers

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

If the abscissa of a point is negative , then in which all quadrants the point can lies?

Answers

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is

Answers

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15

(Find m∠IGH) m∠IGH =

Answers

Answer:

∠IGH = 50°

Hope this helps! :)

i need help with the function plz!!

Answers

Answer:

[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]

Step-by-step explanation:

Objective:Functions

The table of values range and domain isn't proportional so the answer is exponential.

A exponential function is represented by

[tex]ab {}^{x} [/tex]

The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be

[tex] \frac{1}{4} [/tex]

b=1/4 so plug that in our expression.

[tex]a( \frac{1}{4} ) {}^{x} [/tex]

Let plug in 1,512.

[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]

[tex] \frac{1}{4} a = 512[/tex]

[tex]a = 2048[/tex]

So our function is

[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]

y=4

the common ratio between the number sequence is 4

i solved it by taking 512 and dividing it by the previous number 128 and i did the same to the rest of the numbers and found the common ratio of 4

Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .

Answers

Answer:

21

Step-by-step explanation:

goes up by 7

what is the value n ?

Answers

Answer:

nutella

Step-by-step explanation:

Round 382 to 1 significant figure

Answers

Answer:

382=380

Step-by-step explanation:

l don't know the answer but just trying

Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.

The number after rounding 382 to 1 significant figure is 400.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

382

We will round to 1 significant figure.

This means the hundred place value must be the only number remaining while keeping all the place values as zero.

Since the tens place value is more than 4.

We can round the hundred place value 3 into 4.

Now,

382 will be 400 when rounded to 1 significant figure.

Thus,

The number after rounding 382 to 1 significant figure is 400.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?

Answers

Answer:

7/12

Step-by-step explanation:

fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans

sum of fraction of farm planted with maize and beans  =

[tex]\frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2 + 3}{12} = 5/12[/tex]

1 - 5/12 = 7/12

She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?

Answers

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

what do you call a french pimple

Answers

Answer:

bouton

Step-by-step explanation:

‘Bouton’ I’m pretty certain , when I was doing my gcse french this word came up :)

Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.​

Answers

Step-by-step explanation:

perimeter = 2(lenth + base)

perimeter-2b = 2(length)

Area=length×breadth


Which statements are true of the function represented
by this graph?

Answers

Which graph?

___________


Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer: (4x + 5)/3

Explanation:

D = x
H = x + 5
R = 2x

Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2

Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98

Answers

Answer:

Step-by-step explanation:

mean = sum of data / no of data

20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10

760 / 10

76

to find median u should arrange the data from ascending to descending order.

since the given data is already arranged u dont need to change.

median = (N + 1)/2     (N means no of data)

=10 + 1 / 2

=11 / 2

=5.5

= 5 th term + 6 th term /2

=77 + 85 /2

=162 / 2

=81

mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.

Mode = 77

literally help meee because I don't understand ​

Answers

It is very simple

Firstly you should draw a line from end of the 7cm line perpendicular to the 11cm line

Then you will get a rectangle and a triangle find the area and add them

Area of rectangle will be
(l*b)
=3*7
=21

Then find the area of the triangle like
(1/2)b*h
=(1/2)3*4
=6
The simply add the areas and you can get the answer as 27

Hope it helps : )

Answer and Step-by-step explanation:

You are being asked to find the area of a trapezoid. The area of a trapezoid is:

[tex]\frac{a+b}{2}[/tex] × h

Where:

a = Top base

b = Bottom base

h = Height

Plug in the values given to you via from the page.

[tex]\frac{7+11}{2} (3)\\\\\\\frac{18}{2}(3)\\\\(9)(3) = 27[/tex]

The answer (the area) is 27 [tex]cm^2[/tex].

#teamtrees #PAW (Plant And Water)

How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions

Answers

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

identify the center and radius of the circle with equation.

( please help me )

Answers

Answer:

Center = (4, -5)

radius = 6

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

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

Rewrite the given equation into this form

(x-4)^2 + (y- (-5))^2 = 6^2

We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?

Answers

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?

Answers

Answer:  $8.97

Step-by-step explanation:

he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three

$0.75 * 3 = $2.25

so henri saved $2.25 in total

we can add that to what he paid to find the original cost

$6.72 + $2.25 = $8.97

so the original price was $8.97 :)

i have no idea what i’m doing

Answers

Answer:

f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2

Step-by-step explanation:

Simplify 5(x + y) -3(x - y)

Answers

Answer:

2x + 8y

Step-by-step explanation:

5x + 5y - 3x + 3y

5x - 3x + 5y + 3y

2x + 8y

Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event

Answers

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

Help please if you don’t mind! Thank you

Answers

6x-2+2x=5-2x+3

-8-2 = -8x -2x

10x - 2 = 8

Answer:

6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th

Next line:

8x in the 1st, 8 in the 2nd

Next line:

10 in the 1st

How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep

Answers

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

Given that, We are laying a concrete border around a circular pond.  The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

The area of the concrete border

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

The concrete needs to be 50 millimetres deep.

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

We are using premixed bagged concrete.

1 cubic metre requires 106 x 20 kg bags.

So For the number of bags

106 * 2.8275 = 299.715 ≈ 300bags

300 bags of 20 kg of premixed concrete We need

pls help quickly!! :(
what is the surface area of the right cone below?

Answers

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

Is this set of data right-skewed, left-skewed, normal, or something else?

Answers

Answer:

The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.

#LearnwithBrainly

what is the volume of the box

Answers

Answer:

3/32 in^3

Step-by-step explanation:

volume = length * width * height

V=3/4 * 1/2 * 1/4

V= 3/32

Answer:

3/32inches^2

Step-by-step explanation:

given that the graph below is a transformation of the graph f(x)=x2, which transformation occurred?

Answers

Answer:

whats?

Step-by-step explanation:

I would say a reflection and translation to the left. Hope that helps some.

Help !!! Hurry I do not know the answer

Answers

Answer:

wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to

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