How do I solve this equation and check the solutions?

How Do I Solve This Equation And Check The Solutions?

Answers

Answer 1

Answer: x = -10 or 2

Step-by-step explanation:

Given:

√20 - 8x = x

Step 1: Square √20 - 8x

(√20 - 8x)² = (x)²

20 - 8x = x²

Now we can solve the problem

Step 2: Move 20 - 8x to the other side

20 - 8x = x²

-20 + 8x   - 20 + 8x

0 = x² + 8x - 20

This is a quadratic equation

Step 3: Factor the quadratic equation

10(-2) = -20 and 10 - 2 = 8

So our factors are 10 and -2

(x + 10)(x - 2) = 0

Step 4: Create a FOIL equation

For this equation to be true, x would have to make either one of the parenthysis equal to zero

(x + 10)(x - 2)

x = -10 x = 2

10 - 10 equals zero, and -2 + 2 equals zero, so those are your answers.


Related Questions

PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!


Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.

(Sorry if this is easy, I'm bad at math.)

(Written response, please help me!!)

Answers

Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.

Step-by-step explanation:7=7x-9

Answer:

Personally I always do the smallest variable in order to make it easier

Step-by-step explanation:

in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9

from there you would add 9 to both sides and get 16 = 7x

then x = 2.29 (it's rounded up from 2.285...)

What does the x-intercept of the graph tell you about Jeremiah's bank account?

Answers

Answer:

The x-intercept of the graph tells you that as the "number of movie tickets" increase, the less balance Jeremiah has on his bank account.

Step-by-step explanation:

Behavior: The graph is in a downwards linear slope.

Look at the correlation between the x and y axis.

As x increases, y decreases

Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?

Answers

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

Answer:

she can buy 9 pencils

Step-by-step explanation:

What is the soloution to the equation
30.16= 17.56 + -5x

A- 6.032
B- 3.512
C- 12.6
D- 2.52

Answers

Answer: D

Step-by-step explanation:

If you would like me to explain just ask.

30.16 = 17.56 + (-5x)  You need to get the -5x by itself so subtract 17.56 from 17.56 and subtract it from 30.16.

12.60 = -5x You need to get the x by itself now so divide -5 by -5 and 12.60 by -5.

then you get...

-2.52 = x

Explain how to find the GCF of 12 and 18.

Answers

Answer:

6

Step-by-step explanation:

To find the greatest common factor of two numbers you find the largest number that can evenly go into both numbers

For example, the greatest number that can even;y go into 12 and 18 is 6

6 x 2 = 12

6 x 3 = 18

There is no number greater than six that can evenly go into both of those numbers therefore it must be the GCF

Answer:

The GCF of 12 and 18 is 6 and here's how you get it...

Step-by-step explanation:

First, you need to compare the factors of 12 and 18.

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

To get the factors of the number, look for want numbers can be divided by that number and still get a whole number. Ex. (12 / 3 = 4) 3 is a factor of 12.

The GREATEST common factor you see they have in common is the GCF.

If this helps, please give me brainliest.

Simplify each of the following expressions.
*Remember: The minus sign between the brackets means the sign inside the brackets changes to the
opposite of what is was, + to — or — to +
a) (5x + 4) – (x – 2) b) (6 – 3x) + (x – 5x)

c) (4x + 5) – (3x – 2) – 6 d) 9x + 5 – 7x

Answers

Answer:

a) [tex]-5x^{2}[/tex] + 6x + 8

b) 6 - 7x

c) [tex]-12x^{2}[/tex] - 7x +4

d) 2x + 5

Step-by-step explanation:

a) (5x + 4) – (x – 2)

(5x + 4) (-x + 2)

[tex]-5x^{2}[/tex] + 10x - 4x + 8

[tex]-5x^{2}[/tex] + 6x + 8

b) (6 – 3x) + (x – 5x)

6 – 3x + x – 5x

6 - 7x

c) (4x + 5) – (3x – 2) – 6

(4x + 5)  (–3x + 2) – 6

[tex]-12x^{2}[/tex] + 8x -15x + 10 -6

[tex]-12x^{2}[/tex] - 7x +4

d) 9x + 5 – 7x

2x + 5

hope this helps!

Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater mass be?

Answers

Answer:

Ants and by roughly 118,615,000mg greater.

Step-by-step explanation:

According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

The ants and by roughly 118,615,000mg greater.

We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass

What is the approximate total weight?

A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Therfore we can write it as,

Flies: 3,990,000 × 11.5mg = 45,885,000mg

Therefore we get the files mass 45885000mg

For Ants,

47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we  clear that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

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Six cousins inherited a total of StartFraction 5 Over 8 EndFraction of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
StartFraction 5 Over 48 EndFraction of the assets
StartFraction 1 Over 8 EndFraction of the assets
StartFraction 7 Over 48 EndFraction of the assets
StartFraction 3 Over 8 EndFraction of the assets

Answers

Answer:

A

Step-by-step explanation:

Answer:

5 Over 48

This works for edge 2020

What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?

Answers

Answer:

512

Step-by-step explanation:

The sequence is doing the number times 2, so 4 times 2 equals 8,

8 x 2 = 16, ect

If you do this enough, you will get 512 as the 8th term.

Answer:

512 because

32x2=64

64x2=128

128x2=256

256x2= 512

Step-by-step explanation:

please give me brainlist

What is the value of the 8th term of the sequence 4, 8, 16, 32, ...? this is where I get 32 from

Solve for b and simplify your answer. 10=2/3 b​

Answers

Answer:

b=15

Step-by-step explanation:

2/3b=10

3×2/3b=10×3

2b=30

÷2. ÷2

b=15

Alewuya invests a total of $29,000 in two accounts paying 15% and 6% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,685.00. $__was invested at 15% and
$__ invested at 6%.

Answers

2,523 is your investment for 15%
1,611 will be your investment for the 6%

If the total surface area of a solid hemisphere is 462 cm2, find its volume.

Answers

Answer:

Step-by-step explanation:

here

total surface area(TSA)= 462 cm²

TSA=3πr²

462 = 3*22/7*r²

462*7=66r²

3,234=66r²

3,234/66=r²

49=r²

√(49=r

r=7

therefore the radia of the hemisphere is 7

now,

volume of hemisphere(V) = (2/3)πr²

V=(2/3)*(22/7)*7²

V=44*7

V=308

Answer:

radius is 7cmStep-by-step explanation:

v=2/3piercube

=2/3×22/7×7×7×7

=2156/3

=718.67cmcube

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. Estimate the amount of change the cashier should give Allie.

Answers

Answer:

It would be about $9

Step-by-step explanation:

you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9

The required amount that the cashier returned to Allie is 7.20.

Given that,

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20

Thus, the required amount that the cashier returned to Allie is 7.20.

Learn more about arithmetic here:

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According to a legend, the Chinese Emperor Yu-Huang saw a magic square on the back of a turtle. In a magic square, the numbers in each row and in each column have the same sum. This sum is called the magic sum.Complete the magic square so that each row and each column has a magic sum of 0. Each integer from −4 to 4 appears exactly once.

Answers

Answer:

The ones in red are my answers and the one in black is given

Step-by-step explanation:

I hope it helps

The completed magic square is given below.

Given that, in a magic square, the numbers in each row and in each column have the same sum. This sum is called the magic sum.

We need to complete the magic square so that each row and each column has a magic sum of 0. Each integer from −4 to 4 appears exactly once.

What is the magic square?

A square is divided into smaller squares each containing a number, such that the figures in each vertical, horizontal, and diagonal row add up to the same value.

The completed magic square is given below.

The sum in the first row=-1+4+(-3)=0

The sum in the second row=-2+0+2=0

The sum in the third row=3+(-4)+1=0

Hence, the completed magic square is given below.

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write the ratio that is equivalent to z/x

Answers

Answer:

2z:2x

or

2z/2x

Step-by-step explanation:

you can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2.

then the answer will be:

2z:2x or 2z/2x

Have a great day!!

The value of ratio that is equivalent to z / x is,

⇒ s / q

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Two similar triangle are shown in figure.

Now, By definition of similarity,

Ratio of sides of corresponding sides are equal .

Hence, We get;

The value of ratio that is equivalent to z / x is,

⇒ z / x = s / q

Thus, The value of ratio that is equivalent to z / x is,

⇒ s / q

Learn more about the ratio visit:

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Complete question is shown in image.

i need help on my finals

Answers

Answer:

Slope of line A is 1/3

Equation of Line B is y = 2x + 4

identify the errors the student made ​

Answers

Answer:

Second step: 2/2 does not give you 2.

It would be 2x + 1 - 4 = 3x - 3

Since he mess up on the second step, the following steps are also messed up

What is 78.5 rounded to the nearest hundredth

Answers

Answer:

There is no digit in the hundredths place, making this indeditable.

Answer:

it is already rounded to the nearest hundredth

Step-by-step explanation:

the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)

Rachel decided to have bouncy balls as a party favor.
She determines that her ratio of bouncy balls to guests is
9:3. Explain how to find the number of balls needed for 30
guests.
I
PLEASE HELP FAST!

Answers

Answer:

Rachel is a idiot

Step-by-step explanation:

Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.

Answers

Answer:

The probability of a van getting rented next is 25%.

Step-by-step explanation:

The graph is attached

Probability Formula:

number of favorable outcomes / the total number of outcomes

Given Information:

Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3

Calculations:

number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4

Probability of a van getting rented: 1/4 or 25%

Can SOMEONE HELP ME PLZ!!!!

Answers

Answer:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Step-by-step explanation:

Transformations

The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.

There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.

Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.

Testing the rest of the points we get the same result, thus the transformations are:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

I need someone to check my work..

Answers

Answer:

2x-8y=24
8y=24-2x
Change the signs
8y-24+2x
Divide both sides by 8
y=-3+1/4x
Reorder
y=1/4x-3

Yep your correct.

5) February is a busy time at Charlie's Chocolate Shoppe! During the week before Valentine's Day, Charlie advertises that his chocolates will be selling for $1.80 a piece (instead of the usual $2.00 each). The fixed costs to run the Chocolate Shoppe total $450 for the week, and he estimates that each chocolate costs about $0.60 to produce. Charlie estimates that he can produce up to 3,000 chocolates in one week. a) Write a function, C(n), to represent Charlie's total costs for the week if he makes n chocolates b) Write a function. R(n), to represent the revenue from the sale of n chocolates during the week before Valentine's Day. c) Write a function. P(n), that represents Charlie's profit from selling n chocolates during the week before Valentine's Day. Show complete work to find the function.​

Answers

Answer:

a) [tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]

b) [tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]

c) [tex]P(n) = - 450 +1.20n[/tex]

Step-by-step explanation:

Sale price of chocolates = $1.80 per chocolate

Fixed cost for the Chocolate Shoppe per week = $450

Cost to produce one chocolate = $0.60

Cost to produce [tex]n[/tex] chocolates = $0.60[tex]\times n[/tex]

a) Cost function to represent the total cost for the production of [tex]n[/tex] chocolates :

[tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]

b) Revenue function to represent the revenue from the sale of [tex]n[/tex] chocolates:

[tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]

c) Profit function to represent Charlie's profit from selling [tex]n[/tex] chocolates:

Profit is nothing but revenue minus sales.

[tex]P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n[/tex]

Answer:

ong

Step-by-step explanation:

• To round a number, look at the digit to the right of the
Chapter
place value to which you are rounding.
1
• If the digit is 5 or more, round up.
• If the digit is less than 5, round down.
Round up
Add 1 to the
146 rounded to the nearest ten is 150.
number in the place
value to which you
This is the Since 6 is greater than 5, round the
are rounding.
tens place. 4 up to 5.
Make the digits to
the right of it o.
45.23 rounded to the nearest tenth is 45.20.
Round down
Do not change the
number in the place
This is the Since 3 is less than 5, the 2 stays the
value to which you
tenths place. same.
are rounding.
Make the digits to
2. Underline the tens digit. Round to the nearest ten.
the right of it o.
a) 36
b) 162
c) 105
3. Underline the hundreds digit. Round to the nearest hundred.
a) 732
b) 675
C) 1825
4. Underline the tenths digit. Round to the nearest tenth.
a) 0.37
b) 74.55
c) 15.23
5. Underline the hundredths digit. Round to the nearest hundredth.
a) 1.212
b) 3.427
c) 0.351

Answers

Answer:

2. A) 37 B)160 C) 110

The tens digit is 10,20,30,40,50,60,70,80,90. Two away to the left of a decimal point.

3. A)730 B) 675 C)1930

The hundreds digit is three from the left of a decimal point.

4. A) 0.40 B)74.60 C)15.20

The tenth is one away to the right of the decimal.

5. A)1.210 B) 3.430 C)0.350

The hundreth is two away to the right of the decimal point.

Explanation:

If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700


(Type an integer or a simplified fraction)

Answers

Answer:

337.5 mg

Step-by-step explanation:

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

Hence: the number of doses or times the antibiotic would be administered =

48 hours/6 hours = 8 doses(times)

The amount of antibiotic that should be given in each dose is:

48 hours = 2700 mg

6 hours = x mg

Cross Multiply

48x = 2700 mg × 6 hours

x = 2700mg × 6/48

x = 2700/8

x = 337.5 mg

i need help with 2-51. PLEASEE AND TYYY

Answers

Answer:

R-{-5}

Step-by-step explanation:

you get the vertex by making the denominator =0

ex.z+5=0 ,z=-5

then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0

so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}

⚠️WILL GIVE BRAINLIEST⚠️​

Answers

Answer:

The answer is D

Step-by-step explanation:

I solved this with graphing and got d trust me

pls mark brainliest

find the HCF of the following by
Pime factorisation.
a) 72,54,27
b) 24, 16, 36​

Answers

Answer:

a) 9

b) 4

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

a.9

b.4

Step-by-step explanation:

Hope it helps u....

In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players.Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents

Answers

Answer:

1. 2 ≤ n ≤ 4

2. 4 * 20

3. T < 80

4. (2 * 4) + (4 * 3)

5. 16 ≤ P ≤ 32

Note: The quantities described are as follows:

1) the allowable number of players on a team  

2) the number of points,  , Han's team earns in one round if every player earns a perfect score  

3) the number of points,  , Han's team earns in one round if no players earn a perfect score  

4) the number of players,  , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each

5) the possible number of players in a game with eight teams

Step-by-step explanation:

1. Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32

ASAP FOR BRAINLIEST!

Answers

Answer:

Slope is -1/4

Step-by-step explanation:

Goes down 1 and over 4 so -1/4

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