G(x) is an absolute value function. The standard form for an absolute value function is f(x) = |x|.
The slope of this is equal to -6/-4 or 3/2.
It is flipped over the x-axis, so it will have a negative value out front.
g(x) = -3/2|x| is the equation for this graph.
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
Step-by-step explanation:
hoped this helped have a nice day
In y=ax²+bx+c, the vertex is when x=-b/(2a),
the x intercept is the value of x when y=0, and the y intercept is the value of y when x=0
in this case, a=-1, b=2, so the vertex is when x=-2/[2*(-1)]=1
when x=1, y=-(1)²+2*1+1=2, so the vertex is (1,2)
when x=0, y=1, the x intercept is (0,1)
when y=0, -x²+2x+1=0, use the quadratic formula to find x: x=-1+√2, x=-1-√2
so the symmetry point the the y intercept is (-1+√2, 0) (-1-√2, 0)
0 = 150x - x^2
x(150 - x) = 0
150 - x = 0
x = 0 or x = 150
Therefore, she need to sell 150 cases to break even.
At maximum profit, p'(x) = 150 - 2x = 0
2x = 150
x = 150/2 = 75
To maximize profit she should sell 75 cases .\
Maximum profit = 150(75) - (75)^2 = 11250 - 5625 = 5,625
