MATHEMATICS HIGH SCHOOL

A set of equations is given below:Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

Answers

Answer 1
Answer:

Good morning Brainiac


y=3x+7

y=3x+2

We need to solve y=3x+7 for y

Substitute 3x+7 for y in y=3x=2

y=3x+2

3x+7=3x+2

Add -3x

3x+7-3x=3x+2-3x

7=2

Add -7

7-7=2-7

0=-5

No solutions


It was my pleasured to help you :)

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You want to place a towel bar that is 10 1/4 inches long in the center of a door that is 26 1/3 inches wide. How far should you place the bar from each edge of the door

Answers

If the bar is in the center of the door then we know that there is the same amount of space on each side of the bar. Call this space 's'. This is what we need to find. We also know the total width of the door and the total length of the bar. With this info we can set up and equation to represent the relationship:

s=(26(1)/(3) - 10(1)/(4))/(2)

and then solve for s. This is easer to do if we convert the two fractions to a common base and rearrange the equation so that instead of dividing by 2, we instead multiply by 1/2:

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What is the solution of |y+2|=6

Answers

the “||” usually represent absolute value. so assuming they do here the equation would be y+2=6, the next step is to combine like terms and subtract 2. You should end up with y=4. (If you are looking for both possibilities) you would also have to do the negative since there is a variable, so y+2=-6 and you would end up with y=-8 [answers: y=4 or y=-8]

Answer :-

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Values of y = 4, -8

Which expression is equivalent to 3sqt 216x^3y^6z^126xy^2z^4
18xy^3z^6
36xy^2z^4
72xy^3z^6

Answers

Answer:

Option 1

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4

Step-by-step explanation:

Given : Expression \sqrt[3]{216x^3y^6z^(12)}

To find : Which expression is equivalent to given expression?

Solution :

The given expression is

\sqrt[3]{216x^3y^6z^(12)}

We can write it as,

=(216x^3y^6z^(12))^{(1)/(3)}

Applying power rule, (x^a)^b=x^(a* b)

=(216)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=(6^3)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=6xy^2z^4

Therefore, Option 1 is correct.

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4
The equivalent expression of \sqrt[3]{216x^3y^6z^(12)} is 6xy^2z^4

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Answers

26? right? cause 15 - 4 is 11, 7 - 5 is 2, 11 + 2 is 13, and 13 x 2 is 26
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 (I'm saying all that because you didn't put any symbol beside the number 2)

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Answers

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