Answer:
44 hope it helps
Step-by-step explanation:
Say you had this problem:
-4x - 2y= -12
4x +8y = -24
First you would have to cancel out one part of the equation to get on variable alone. In this case it's easy it would be -4x and 4x. So then you would cancel those out.
Now we have
-2y= -12
8y =-24
so then you just add them all up
6y=-36
Next you just divide both sides by 6
so then you answer for y would be -6.
Next you would choose one of your equations and plug the -6 in.
So it would be
-4x -2 (-6) =-24
So you would times negative 2 by negative 6, which would be positive 12. Since a negative times a negative equales a positive.
-4x + 12= -24
Next you would minus 12 on both sides.
-4x + 12=-24
- 12 = -12
The 12's would cancel out and then you just minus -24 by -12 which you would ended up just plusing them together because a negative plus a negative equales a negative. Or a negative minus a negative number would end up adding them up.
-4x= -36
Next you would get x alone and how you would do that is you would divide -4 in both sides which would cancel them -4 out then it would be divided by -36.
So it would look like this.
-4x= -36
-4 -4
So negative 36 divided by negative 4 is 9.
So your final answer would be
y= -6
x= 9
I hope I explained to you properly how to do systems of equations by elimination.
Answer:
New mean will be 12
And no change in standard deviation
Step-by-step explanation:
We know the relationship between the two mean and standard deviation


If we add 2 to each value of x that means the mean will become n will become 2n and since we are adding 2 to each value
The new mean will become 12
And there will be no change in the standard deviation because of equal change in the each data.
Answer:
4 dollars or 13 dollars
Step-by-step explanation:
Revenue is the income or increase in net assets that a commercial organization have as a result of offering services.
Revenue is the product of selling price per goods and the number of goods sold. That is:
Revenue = selling price per goods * number of goods sold
Given the revenue function:
R=-n² +17n +200; where n is the increase in the original price of T-shirt.
Since the council wants to make a revenue of $250, hence:
-n² +17n +200 = 250
-n² + 17n - 50 = 0
Solving using a calculator gives:
n = $4 or $13 (to the nearest whole number)
Answer:
Step-by-step explanation:
1) the triangle is right, so we can use the Pythagorean theorem
x^2 + 24^2 = (16+x)^2
x^2 + 576 = x^2 + 256 + 32x
32x = 320
x = 10
2) the two segment are congruent, so
7x - 13 = 9x - 23
2x = 10
x = 5