how to factor this expression

x^3 - 4x^2 + 4x - 16

9514 1404 393

Answer:

  not a solution

Step-by-step explanation:

The given pair does not satisfy the second equation.

  y = -x + 5

  6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)

The ordered pair is not a solution to the system of equations.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

Answer:

option c is the correct one according to me......

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Answer: 8 gallons of blue

Step-by-step explanation:

Robert mixes the paint in the ratio:

= 3 yellow : 2 blue

If there are 12 yellow used then direct proportion can be used:

3   :   2

12 :   x

Cross-multiplying will give:

3x = 24

x = 24 / 3

= 8 gallons of blue

Answer:

- 1/x^18 y^3

Step-by-step explanation:

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

2. none of the answers are correct

Answer:

400

Step-by-step explanation:

Use the right triangle altitude theorem.

All three triangles are similar, so we can write a proportion of corresponding side lengths.

Let y = x - 144

192/144 = y/192

144y = 192 * 192

144y = 36,864

y = 256

x = y + 144 = 256 + 144

x = 400

if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.

i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3

Answer:

getting points since this is an old question tehe

Answer:

Stick 2

Step-by-step explanation:

Given

[tex]L = 1.05m[/tex] --- Shelf length

Missing information from the question are:

[tex]Stick\ 1 = 1.4m[/tex]

[tex]Stick\ 2 = 1.041m[/tex]

[tex]Stick\ 3 = 1.14m[/tex]

[tex]Stick\ 4 = 1.104m[/tex]

See attachment

Required

Which stick best fits the shelf?

The following observations are to be noted:

Hence, Justin should choose stick 2

Answer:

The total cost of the shirt and Jean's together with a 15% discount would be $48.45.

Step-by-step explanation:

if you at 12 and 45 you get 57 now if you multiply that by .15 which would be 15% you would get $48.45.

Answer:

$48.45

Step-by-step explanation:

15% of $12= 1.80

15% of $45= 6.75

$12-$1.80= $10.2

$45- $6.75= $38.25

Now, add them both up:

$10.20+ $38.25= 48.45

Answer= $48.45

Hope it helps,

PS- Please mark me as brainliest :)

Answer:

               [tex]\bold{x=-4\pm\sqrt{46}}[/tex]

Step-by-step explanation:

[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]

The solution to the quadratic equation by completing the square will be

x = -4 ± √46. The correct option is A.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given equation will be solved as below:-

x² + 8x − 30 = 0

Completing the square for the above equation.

( x + 4 )² - 16 - 30 = 0

( x + 4 )² = 46

x + 4 = ±√46

x = ±√46 - 4

Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50

Answer:

2.72 cm2

Step-by-step explanation:

Height (m) x height (m) =height squared (m exponent 2)

The square of her height in meter² is 2.7225.

To multiply numbers with decimals one way is to multiply the given numbers without the decimal then in the obtained result put the decimal as many places before from the right as the sum of the digits after the digits which those decimal numbers had.

According to the given question Ms. Aluma is 165cm tall.

We know 165 cm is = (165/100)meter = 1.65meter.

As 1 meter is 100 centimeter.

∴ The square of her height is (1.65)² OR (1.65×1.65)m² which is

= 2.7225 m².

learn more about decimals here :

https://brainly.com/question/548650

#SPJ2

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Step-by-step explanation:

Answer:

D or 8sqrt3

Step-by-step explanation:

the shortest side = the longest divided by 2

the shortest side = 16/2

the shortest side = 8

the longer side = the shortest times sqrt3

the longer side = 8 times sqrt3

the longer side = 8sqrt3

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

                 =5

%decrease=5/311 x 100

Answer:

2

306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2

Answer:

Step-by-step explanation:

Answer: 3/4 i think

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

Answer:

±5 is your answer

Step-by-step explanation:

x²-25=0

comparing above equation with ax²+bx+c

we get

a=1

b=0

c=-25

by using quadratic equation

x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1

=±{√(100)}/2=±(√10²)/2=±10/2=±5

Answer:

5, - 5

Step-by-step explanation:

x^2 = 25

x = ± √25

= ± 5

x = 5, - 5

Answer:

12 erasers

Step-by-step explanation:

So first you need to take that $10.00 and subtract $1.96, you should get $8.04, after that you need to divide it by $0.67, which should get 12 erasers.

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Answer:

1/4

Step-by-step explanation:

You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:

1/3 * 3/4

(cross multiply)

3/12

(simplify (divide top and bottom by three))

1/4

Answer:

X=4

Step-by-step explanation:

x+y=6

(+)x-y=2 (Add to get rid of y's)

2x=8

2x/2=8/2

x=4

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=$127.03

Answer:

the correct answer is true

Answer:

I believe this is true!

Hope that helps!

Answer:

6  Tables

Step-by-step explanation:

100 = 10x + 40

60 = 10x

6 = x

good luck, hope this helps :)

6 tables

100-40=60

each table = 10

60 divided by 10=6

Answer: 95

Step-by-step explanation: All supplementary angles always have to equal 180 degrees which means that you have to only do 180-85 and boom- 95- that is ur answer. Plz mark Brainliest:).