Solve the following and explain:
2/3(9x-3)=5x+4-x

Answers

Answer 1

Answer:

3x(3x+2)

Step-by-step explanation:

1. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)


Related Questions

Simplify 3-8n+5n+8 explain

Answers

Answer: 3-3n+8e

3-8n+5n+8e
Add -8n+5n
That equals to-3n
You get 3-3n+8e since there is no way more to simplify

How many solutions does the equation 3x + 15 = 2x + 10 + x + 5 have?

Answers

Answer:

18=18

Step-by-step explanation:

it dosent give x so just put them all together without x and its equal so(=)

a cup of coffee contains 150 milligrams of caffeine. if caffeine is eliminated from the body at a rate of 14% per hour, how long will it take for half of this caffeine to be eliminated from a person's body? round your answers to the nearest hour

A. 7 hours B. 6 hours C. 5 hours
D. 4 hours​

Answers

Answer:

Step-by-step explanation:

14% of 150 mg = 0.14* 150 = 21 mg

21 mg will be eliminated  from our body in an hour

150/21 = [tex]7\frac{3}{21}[/tex]

  = 7 hours { rounding to the nearest}

Select the correct answer. When Matt rewrote the given expression, he got 18. (36) 1/2 Which statement is correct? Matt rewrote the expression incorrectly. The expression is equivalent to 6. Matt rewrote the expression incorrectly. The expression is equivalent to 9. Matt rewrote the expression correctly. Matt rewrote the expression incorrectly. The expression is equivalent to 1/18

Answers

Answer: Choice A) He wrote it incorrectly. He should have gotten 6.

This is because exponents of 1/2 are the same as square roots.

[tex](36)^{1/2} = \sqrt{36} = 6[/tex]

Matt probably thought it was 36 times 1/2, which may explain how he got 18.

Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.

Given that,
Matt rewrote the given expression, he got 18. [tex](36)^{1/2}[/tex] Which statement is correct is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Since matt made a mistake in his calculation, let correct the calculation and determined what should be the matt mistake.

Simplification
[tex]= (36)^{1/2}\\= (6^2)^{1/2}\\=(6)^{2 * 1/2}\\= 6[/tex]

Thus, Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.

Learn more about arithmetic here:

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What is the answer to 8)555 with the remainder and this is division.

Answers

Answer:

69 <-- quotient

 ---

Step-by-step explanation:

8)555

 48

 --

  75

  72

  --

   3 <-- remainder

Please help I'm having trouble with 2,3,4

Answers

Answer:

Your correct

Step-by-step explanation: x(-x) = -x

-5x-2x-1=-10

and the last one right too

Answer:

you were correct on 2/3

2. Negative

3. Negative

4. Negative

Step-by-step explanation:

...

2x – 3y = 18
Solve for y.

Answers

Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

2x – 3y = 18

2x - 3y = 18

-3y = 18 - 2x

y = (2/3)x - 6

Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.

Learn more about the linear equation here:

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Which of the following are polynomials?
A- a^0

B- 0

C- a^0 + 17

Answers

I believe it’s b I’m not really sure
C because a polynomial has several terms

true or false? in a two column proof, the left cloumn contains a series of deductions

Answers

Answer:

True

Step-by-step explanation:

The left column is for deductions

The right column is for reasons

Ummmmmm Helppppppp Needeeeeeed

Answers

Answer:

I dont really know, but you dont have to listen but i think its D! its D!

Answer:

d: [tex]20(n-1)[/tex]

Step-by-step explanation:

[tex]2\left(n-7\right)-3\left(2-6n\right)[/tex]

Expand:

[tex]2n-2*7-3*2-(-3)*6n[/tex]

[tex]2n-14-6+18n[/tex]

[tex]2n+18n-14-6[/tex]

[tex]20n-20[/tex]

Factorise:

[tex]20(n-1)[/tex]

simplify the expression.
7yz / -2z

Answers

4x+7x=11
Hope this helped!!

Which set of ordered pairs represents a function?
{(-8,4),(-5,7),(-8, -1),(-4,8)}
{(-5, -5), (7,2), (-7, -3), (-7,0)}
{(-6,2).(-5,6),(-3,7).(-9, 2)}
{(-7,8), (-7,2), (7,6),(4,2)}

Answers

i’m pretty sure it’s the third one
from the ordered pairs given i think it’s the third one

Please help! Urgent! I am giving brainlist.

Answers

I believe it would be D :) Not 100% sure though.

Which is the mode in this data set 55,78,43,39,78,61,75,50,43,78

Answers

Answer:

the mode is 78 out of all the numbers

The faucet drips 6 ¾ gallons of water in 4 hours

what is the unit rate?

Answers

Answer:

1.6875 gallons per hour

Step-by-step explanation:

Write scientific notation 1081

Answers

Answer:

1.08 x 10³

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 1,080 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 1,080

New Number: 1.080

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 0 8 0

Decimal Count: 1 2 3

There are 3 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.08 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

1.08 x 10³

Step 4

Check your work:

10³ = 1,000 x 1.08 = 1,080

Hope this helped

Katrina drinks .5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week

Answers

Answer:

8w = 3.5gal

Step-by-step explanation:

1 gal = 16c

0.5gal = 8c

W = 7

8w = 3.5gal

I will give brainliest please help!! Solve the top problem

Answers

Answer:

f(4) = 5

Step-by-step explanation:

f(4)  means x=4

Using the function  4 >0 so using the lowest part

x+1  when x>0

4+1

5

f(4) = 5

Answer:

20. f(4) = 5

21. f(-6) = -6

22. f(0) = 0

23. f(-5) = -5

Step-by-step explanation:

The function is defined differently depending on the interval that x is in.

If x < -6, then f(x) = -2x^2 - 1.          Definition A.

If -6 <= x <= 0, then f(x) = x.            Definition B.

If x > 0, then f(x) = x + 1.                  Definition C.

For each value of the function you are asked to find in questions 20 through 23, the first thing to do is to see in which interval x is. Then you decide which function definition to use.

20. f(4)

4 is in the interval of Definition C.

f(x) = x + 1

f(4) = 4 + 1

f(4) = 5

21. f(-6)

-6 is in the interval of definition B.

f(x) = x

f(-6) = -6

22. f(0)

0 is in the interval of definition B.

f(x) = x

f(0) = 0

23. f(-5)

-5 is in the interval of definition B.

f(x) = x

f(-5) = -5

PLEASE HELP Mary organized her work below for solving the equation 3m-6=24.
Examine her work and answer the following questions.
In what step (or steps) did Mary make a mistake?
What did she do wrong and how should she fix it?
What should her answer be if she solved the problem correctly?
Be sure to answer in complete sentences.

Answers

Answer:

Mary messed up on the second step. She should have also added 6 to the 24. If she had solved the equation the correct way her answer would have been m=10

Step-by-step explanation:

3m-6=24

Add 6 on both sides

3m=30

Divide by 3 on both sides

m=10

-2 = K+7/3 find for k

Answers

Answer:

k = -13/3

Step-by-step explanation:

Step 1: Flip the equation.

k + 7/3 = -2

Step 2: Subtract 7/3 from both sides.

k+ 7/3-7/3 = -2 - 7/3

k= -13/3

Hope this helps!

6. Solve the equation and state a reason for each step. 3x +4 = 13​

Answers

Answer:

x=3

Step-by-step explanation:

3x+4=13

-4=-4

3x=9

÷3=÷3

x=3

x=3
in this situation 3x+4=13
so you put 3 where x is and it would look like: 3(3)+4=13
3(3)=9
which makes 9+4= 13

Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).

Answers

Hey there! I'm happy to help!

To find the x value of the midpoint, you add the x values and divide by 2.

-5+4=-1

-1/2=-1/2

For the y value, you add the y values and divide by 2.

5+6=11

11/2=5 1/2

So, the midpoint is (-1/2, 5 1/2).

Have a wonderful day! :D

What is the solution to the division problem below? (You can use long division
or synthetic division.)
x - x2 - 11x +3
x + 3
O A. x2 - 5x+1
O B. x2 - 6x + 1
O c. x2 - 4x + 1
O D. x2 - 7x+1

Answers

Answer:

  C.  x² -4x +1

Step-by-step explanation:

The synthetic division is shown below. The quotient corresponds to answer choice C.

Given 4x(5x+6)=-5 what value of x makes this equation true?

Answers

Answer:

x = 8.8

Step-by-step explanation:

4x(5x+6)=-5

20x + 24x = -5

44x = -5

44 divided by 5 equal 8.8

x = 8.8

pls mark brainlest ;)

Hope this helps you :)

-. Jane bikes at a rate of 12 miles per hour. Write an expression for the amount
she bikes in h hours.

Answers

Answer:

12h

Step-by-step explanation:

Since we know that Jane rides her bike at the rate of 12 miles per hour,

12h

NEED HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

1: 6

Step-by-step explanation:

Cross multiple 9 and 6

Cross multiple 8 and k, 8 and 6

8k + 6 = 54

-6 -6

8k= 48

divide by 8 on both sides

k = 6

What is the slope of the line described by the equation below?
4x-y=3
A. 1/4
B. -1/4
C. -4
D. 4

Answers

Answer: 4

Step-by-step explanation: First convert the equation to y = mx + b form.

Start by subtract 4x from both sides to get -y = -4x + 3.

From here, divide both sides by -1 to get y = 4x - 3.

Now in y = mx + b form, the slope is the multiplier, or the m.

So here, 4 is the slope.

Answer:

(D) 4

Step-by-step explanation:

In order to find the slope you need to rearrange the equation so that y is alone on one side, so:

4x - y = 3

-y = -4x + 3

y = 4x - 3

The slope is the coefficient in front of x, so the slope is 4

Find the midpoint of the segment with the given endpoints.
(-10,10) and (-9,6)

Answers

Answer:

The answer is

[tex]( - \frac{19}{2} \: , \: 2)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-10,10) and (-9,6)

The midpoint is

[tex]M = ( \frac{ - 10 - 9}{2} , \: \frac{10 - 6}{2} ) \\ = ( - \frac{19}{2} \: , \: \frac{4}{2} )[/tex]

We have the final answer as

[tex]( - \frac{19}{2} \: , \: 2)[/tex]

Hope this helps you

6x - 2 (x + 2) > 2 - 3 (x + 3)
whats the solution?

Answers

Answer:

x>−3/7

Step-by-step explanation:

I hope this helps you

MT&A uses the function f(x)=475-15x-15x.to depreciate smart phones. where f represents the value of smart phone and x represents the number of months since its purchase. a) find f^-1 and explain what it represents in this situacions When will the deprecated value of smart phone be less than $100.00? what does x represent in f^-1(x) =30? What is the value of x? Graph f(x) and f^-1 (x) on the same coordinate

Answers

Answer:

Find the answers in the explanation

Step-by-step explanation:

The given function is

f(x)=475-15x

A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,

Y = 475 - 15x

Interchange y and x and make y the subject of formula

X = 475 - 15y

-15y = x - 475

Y = 475/15 - x/15

Y = (475 - x) / 15

Therefore,

f^-1(x) = (475 - x) / 15

If the function depreciates the smartphone, then, the inverse function will appreciate it.

When will the deprecated value of smart phone be less than $100.00

Substitute 100 for f(x) and find x

100 = 475 - 15x

-15x = 100 - 475

-15x = - 375

X = 375/15

X = 25

Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.

what does x represent in f^-1(x) =30?

X represent the number of months for the smartphone appreciations

What is the value of x?

Substitute the inverse function for 30 and make x the subject of formula in the equation

f^-1(x) = (475 - x) / 15

30 = (475 - x) / 15

Cross multiply

450 = 475 - x

X = 475 - 450

X = 25 months

Graph f(x) and f^-1 (x) on the same coordinate

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