Solve the equation for y(x-3)^=4y-12

Answers

Answer 1

Answer: remember yuo can do anything to an equaiton as long as you do it to both sides

(x-3)=4y-12
x-3=4y-12
add 12 both sides
x-3+12=4y+12-12
x+9=4y+0
x+9=4y
divid both sides by 4
(x+9)/4=y

Answer 2

Answer: First

y(x + -3) = 4y + -12\

Then you would Reorder the terms:
y(-3 + x) = 4y + -12 (-3 * y + x * y) = 4y + -12

And theses (xy + -3y) = 4y + -12(xy + -3y) = 4y + -12

then we would Reorder the terms:xy + -3y = -12 + 4y

then you would Move all terms containing x to the left, all other terms to the right.

so that means we would Add '3y' to each side of the equation.xy + -3y + 3y = -12 + 4y + 3y

then you would want to Combine like terms: -3y + 3y = 0xy + 0 = -12 + 4y + 3y xy = -12 + 4y + 3y
Combine these two 4y + 3y = 7yxy = -12 + 7y
then we would want to Divide each side by 'y'.x = -12y-1 + 7

so after simplifying it, it would be x = 7 + -12y-1

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What is the solution of the system? Use substitution. 3x + 2y = 7
y = –3x + 11
A.(6, -3)
B.(6, -7)
C.(-4, 19/2)
D.(5, -4)

Answers

Substitution is where you substitute, basically. So, substitute "y" for y.

They have given you y: -3x+11.

They have also given you an equation for you to substitute y into: 3x+2y=7.

Now, you can create the substituted problem.

3x + 2(-3x + 11 ) = 7

Use distributive property.

3x + -6x + 22 = 7

Add like terms.

-3x + 22 = 7

Subtract 22 from 7.

-3x = -15

Divide.

x = 5.

Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.

I will do both to show you.

3(5) + 2y = 7

15 + 2y = 7

2y = -8

y = -4

You would get -4 with the other equation, too.

y = -3(5) + 11

y = -15 + 11

y = -4

Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.

*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if D wasn't so obvious when you only find x.

Four equivalent expressions for 90+21

Answers

All of the expressions must equal 111.

So it could be 91 + 20, 68 + 43, 45 + 66, 75 + 36, etc.

Final answer:

The four equivalent expressions for 90 + 21 can be represented as separate sums, number line jumps, or real world problems, all of which equal 111.

Explanation:

The student has asked for four equivalent expressions for 90 + 21. Here are four possible representations:

Adding the subsequent numbers in a sequence where the numbers are 90 and 21, which simplifies to 111.
Calculating the total value of two separate groups, one of 90 and another of 21, which when combined gives 111.
A number line representation where one starts at position zero and makes two jumps, one of 90 units and a second jump of 21 units, which lands at 111.
A real-world problem where one has 90 of something and is given 21 more, resulting in a total of 111.

Learn more about Math here:

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In 36 days a girl spent 18 dollars. On average, what did she spend daily?

Answers

On average, she spent 18/36 = 0.5$

Which is a factor of x2 + 8x – 48?

Answers

so x^2+8x-48
it can be written in the form
ax^2+bx+c

so since the 'a' term=1 we want it in form
(x +/- something1 )(x +/- something2 )
so basically, something1 times something 2=c and something 1+something 2=b

c=-48
b=8

factor -48 and fiind what 2 factors add to 8 (obviously one has to be positive and is 8 more than the negative [negative is smaller])
-48=
-1 times 48 no
-2 times 24 no
-3 times 16 no
-4 times 12 yes
-4+12=8

therefor it is
(x-4)(x+12) or (x+12)(x-4)

so the answer would be the one with either (x+12) or (x-4) (since you didn't include answer choices)

(x+12) or (x-4) would be the right choice

this trinomial factored is:
(x + 12)(x - 4)
either of these would be considered a factor.

Write the following into rational numbers a over b (a and b are integers)a. 15.89898989 b. 0.101010

Answers

Answer: a.) 15 and 89/99

b.) 10/99

Step-by-step explanation:

a.) 15.898989...

Let x = 0.898989...

100*x = 89.8989...

100x - x = 89.898989... - 0.898989...

99x = 89

x = 89/99

So 15.898989.... = 15 and 89/99

b.) 0.101010

Y= 0.101010

100y = 10.101010...

100y - y = 10

99y = 10

y = 10/99

From MysticAlanCheng

What is the circumference of a circle with a diameter of 6 feet ?Use 3.14

Answers

Answer:

18.84

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C=πd=π·6=18.84ft

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