Answer: 8x+3x=12x+9
The number is -9.
Step-by-step explanation: Combine like terms.
11x=12x+9
Subtract 12x from the other side. 11x-12x= -1x
-1x+9
Divide by -1 to isolate x.
-1/-1 cancels out.
9/-1= -9
x=-9
Plug in -9 to check your answer if you want to double check.
Answer:
We conclude that a researcher used simple random sample.
Step-by-step explanation:
We know that select a sample of five children from a class of 30, a researcher puts each child’s name on a slip of paper, then shuffles the papers in a hat and randomly picks five names.
We conclude that a researcher used simple random sample.
Because every children has an equal chance of being included in the sample.
Ok so first we find the equation that equals one variable.
2y = -x + 9
3x - 6y = -15
We solve for y.
2y = -x + 9
y = -x/2 + 9/2
Then we plug in this y value into the other equation to keep only one variable so we can solve for it.
3x - 6y = -15
3(-x + 9/2) - 6y = -15
-3x + 27/2 - 6y = -15
-9y + 27/2 = -15
-9y = 3/2
-y = 3/18
y = -3/18
Then we plug in this numerical y-value into the first equation which we found out by solving an equation for y.
y = -x/2 + 9/2
-3/18 = -x/2 + 9/2
-84/18 = -x/2
-x = 9 1/3
x = -28/3
Your answer would be (-28/3, -3/18)
Hope this helps!
Explanation:
The function is 
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function 

Thus, the x-intercept is 
To find the y-intercept, let us substitute x=0, we get,

Thus, the y-intercept is 
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function
, to find the y-values.
The points are
. The image of the graph and table is attached below: