SOLUTION: If someone can please help me with these problems.I have answered them and want to know if my answers are correct if not how can I successfully answer these questions right......

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Question 149449: If someone can please help me with these problems.I have answered them and want to know if my answers are correct if not how can I successfully answer these questions right......

1)s/6-2/9=0

The answer I came up with is 1/3 is this correct?

2)Solve -43 less than 20 -9v less than or greater to -7
The answer I came up with is (1,7]is this correct?
3)Complete the ordered pair so that it satifies the given equation.
2x-5y=-12:(-1, )
the answer I came up with is (-1,4) is this correct?
4)Find the x and y intercepts of 7x-2y=-5
5)Find the slope of the line that contains the points (-4,-2) and (1,1)
Found 2 solutions by jim_thompson5910, Fombitz:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
s%2F6-2%2F9=0 Start with the given equation.


18%28s%2Fcross%286%29-2%2Fcross%289%29%29=18%280%29 Multiply both sides by the LCD 18 to clear out the fractions.


3s-4=0 Distribute and multiply.


3s=0%2B4 Add 4 to both sides.


3s=4 Combine like terms on the right side.


s=%284%29%2F%283%29 Divide both sides by 3 to isolate s.


----------------------------------------------------------------------

Answer:

So the answer is s=4%2F3


Which approximates to s=1.333





2)

-43%3C20-9v%3C=-7 Start with the given compound inequality.


-43-20%3C-9v%3C=-7-20 Subtract 20 from all sides.


-63%3C-9v%3C=-7-20 Combine like terms on the left side.


-63%3C-9v%3C=-27 Combine like terms on the right side.


%28-63%29%2F-9%3Ev%3E=%28-27%29%2F-9 Divide all sides by -9. Note: dividing all sides of the inequality will flip the signs


7%3Ev%3E=3 Reduce.


3%3C=v%3C7 Rearrange the inequality.
So the answer in interval notation is [)


Also, the answer in set-builder notation is


Here's the graph of the solution set

Graph of the solution set

Note:
There is a closed circle at v=3 which means that we're including this value in the solution set
Also, there is an open circle at v=7 which means that we're excluding this value from the solution set.





3)

2x-5y=-12 Start with the given equation.


2%28-1%29-5y=-12 Plug in x=-1.


-2-5y=-12 Multiply.


-5y=-12%2B2 Add 2 to both sides.


-5y=-10 Combine like terms on the right side.


y=%28-10%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=2 Reduce.

So the ordered pair is (-1,2)


Note: you can plug in the numbers x=-1 and y=2 into the equation to check your answer.





4)


7%2Ax-2%2Ay=-5 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
7%2Ax-2%2A%280%29=-5 Plug in y=0

7%2Ax=-5 Simplify

x=-5%2F7 Divide both sides by 7



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



------------------

7%2Ax-2%2Ay=-5 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
7%2A%280%29-2%2Ay=-5 Plug in x=0

2%2Ay=-5 Simplify

x=-5%2F-2 Divide both sides by -2



y=5%2F2 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept:

y-intercept:







5)



m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%281--2%29%2F%281--4%29 Plug in y%5B2%5D=1, y%5B1%5D=-2, x%5B2%5D=1, x%5B1%5D=-4, ,


m=%283%29%2F%281--4%29 Subtract -2 from 1 to get 3


m=%283%29%2F%285%29 Subtract -4 from 1 to get 5


So the slope of the line that goes through the points and is m=3%2F5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.s%2F6-2%2F9=0
s%2F6=2%2F9
9s=12
s=12%2F9=4%2F3
2. Don't understand this one, "less than or greater to"?
It has to be one of the following:
Less than
Less than or equal
Equal to
Greater than
Greater than or equal to
3.2x-5y=-12
2%28-1%29-5y=-12
-2-5y=-12
-5y=-10
y=2
(1,-2)
4. Find the x and y intercepts of 7x-2y=-5
Y intercept. Set x=0. Solve for y.
7x-2y=-5
7%280%29-2y=-5
-2y=-5
y=5%2F2
Y intercept:(0,2.5)
.
.
.
X intercept. Set y=0. Solve for x.
7x-2%280%29=-5
7x=-5
x=-5%2F7
X intercept:(-.71,0)
.
.
.

5. The slope of a line is given by the formula,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
(-4,-2) and (1,1)
m=%281-%28-2%29%29%2F%281-%28-4%29%29
m=%281%2B2%29%2F%281%2B4%29
m=3%2F5