If x = 1 does x² - x = 0?

Answers

Answer 1

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

ParenthesesExponentMultiplication orDivision Addition orSubstraction

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

Alternate way:

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Answer 2

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔


Related Questions

Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20

Answers

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.

Answers

Answer:

one is 3-x

two is 1

three is x

four is 5-x

hope it helps :)

Answer:

1: 3-x

2: 1

3: x

4: 5-x

Step-by-step explanation:

Hope this helped

Find f(3.5) if f(x) = (4x - 2)/10

Answers

Answer:

when f=3.5, f(x) = 1.2

Step-by-step explanation:

[4(3.5) -2] / 10 = 12/10 = 1.2

Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[?] cm2

Answers

Question:-

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

Answer:-

Given:-

[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm

[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm

To Find:-

The surface area of a cylinder

Solution:-

We know the formula of surface area of a cylinder is –

[tex] { \boxed{\rm \red {2πr² \: + \: 2πrh}}} [/tex]

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)

= [tex] \frac{220}{7} [/tex](5 + 10)

= [tex] \frac{220}{7} [/tex] × 15

= [tex] \frac{220 \: × \: 15}{7} [/tex]

= [tex] \frac{3300}{7} [/tex]

= 471.43 cm²

The surface area of a cylinder is 471.43 cm². [Answer]

Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )

Answers

The value of x is 14 units.

Trigonometry values

When handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.

How to determine value of x?

We know for angle of 30° the base is 7 and perpendicular is x

then

sin30° = 7/x

      [tex]\frac{1}{2} =\frac{7}{x}[/tex]

       x = 7

hence, the value of x = 14 units

Learn more about Trigonometry values here: https://brainly.com/question/22698523

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5. Casey's bank account offers him 2% interest every year, given by the equation
g(x)= 1.02. If Casey deposits $5,625 in his bank account, which equation
represents the amount of money that will be in his account after 2 years?

Answers

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

HELP ASAP!!!! 20 POINTS!!

Answers

Answer:

Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.

Step-by-step explanation:

solve for x in the rectangle below​

Answers

Answer:

There isnt a rectangle buddy

Step-by-step explanation:

the unit rate 18 meters in 15 minutes

Answers

Answer:

1.2 meters per minute

Step-by-step explanation:

18÷15/15÷15

1.2 meters/1 minute

1.2 meters/minute

Which graph represents this system? y=5x+3 3 y=zx-1​

Answers

Answer:

where's the two graphs

Step-by-step explanation:

where are the two graphs that we need to choose from??

Answer:

[tex]y = 5x + 3[/tex]

[tex]3y = zx - 1[/tex]

Step-by-step explanation:

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir​

Answers

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

The probability of winning the jackpot is 1/32728332.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

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Volume by multiplying area of base times height

Answers

Answer:v= x a h add then multiply

Step-by-step explanation:

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

What's the measure of X

Answers

the triangles are both ratios of each other so the angles are the same

180-25-85= 70°

the answer is A 70°

find the surface area of puzzlecube 5.7 ​

Answers

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

simplify 14x(7xy^14)(-9x^-7 y^-3)

Answers

Answer:

-882y^11/x^5

Step-by-step explanation:

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer: 13

Step-by-step explanation: Hope this help :D

help please i cant fail this class please help​

Answers

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0  

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12 , x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,  x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√ 5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√ 5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

helppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeee itssss urgentttttttttttttttttttttttttttttttttttttttttt

Answers

Answer:

the surface area S of the red solid is 90m^2

Step-by-step explanation:

The computation of the surface area of the red solid is shown below:

First find the scale factor i.e.

= 6 ÷ 4

= 1.5

Now the surface area of the red solid is

= 40 × 1.5 × 1.5

= 90m^2

Hence, the surface area S of the red solid is 90m^2

The same would be considered

what is the range of the following data set?​

Answers

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

What is the slope-intercept equation of the following line?

Answers

Answer:

Hi Joanna,  what do you find difficult about this problem?  Just wondering

Step-by-step explanation:

? = 2

the grey box is 7

ask me if you want to know how I got those :)

(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.

Answers

Step-by-step explanation:

Im donating points thank you

Answer:

do you have a graph? we can't do it unless you have one.

Question:

Simplify. √(36)²

Answers

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Answers

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?

Answers

Answer:

$7.5

Step-by-step explanation:

Cost of 5 pounds of gummy

=$(4.5/3)(5)

=$7.5

your answer is 7.5 gummy bears

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

15. C

16. A

Step-by-step explanation:

Good luck brotha!

5 Solve the equation sin 2x = 2 cos 2x, for 0°<x< 180°​

Answers

Answer:

Step-by-step explanation:

plot | 2 x = 2 cos(2 x) | x = 0 ° to 180 °

5. How many ways can 12 swimmers finish in first, second, and third place? Combination or permutations

Answers

Answer:

36

Step-by-step explanation:

Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.

Answers

Answer:
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.
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