|x| is tricky but maybe I can tell you so that it's clear 4ever.
You have to look at when what's inside the absolute value iszero. In this case x=0. That easy. Then, you have to split the cases:
For x>= 0, you have y = -x+1,
For x<=0, you have y = -(-x) + 1 = x+1, because abs(x)=-x, if x<=0.
Notice that x=0 is included in either case, because |x| is continuous.
Then plot each line choosing a couple of points, notice that for one case you should choose x=-1, -2, or x=0, but not positive values, and the other way for the case with x>=0.
Best
3 Japan tickets cost 27.20
3 Switzerland tickets cost 25.88
Hope this helps :)
Answer:
The mean score is 87
Step-by-step explanation:
79x2=158
158-71=87
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
