Answer:
Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...
Answer:
x ∈ {-a, -b}
Step-by-step explanation:
1/(a+b+x) = 1/a +1/b +1/x . . . . given
abx = bx(a+b+x) +ax(a+b+x) +ab(a+b+x) . . . . multiply by abx(a+b+x)
(a+b)x^2 +(a+b)^2x +ab(a+b) = 0 . . . . . subtract abx
x^2 + (a+b)x +ab = 0 . . . . . divide by (a+b)
This is a quadratic equation in x. It will have two solutions, as given by the quadratic formula.
x = (-(a+b) ±√((a+b)^2 -4(1)(ab))/(2(1)) = (-(a+b) ± |a -b|)/2
Without loss of generality, we can assume a ≥ b, so |a -b| ≥ 0. Then ...
x = (-a -b -a +b)/2 = -a
x = (-a -b +a -b)/2 = -b
There are two solutions: x ∈ {-a, -b}.
The answer is C: x < -2
The fact that it is less than -2 is shown by the open circle on -2, and the arrow pointing to the left. An open circle means that the number cannot be included (which is why it can't be "less than or equal to," but instead is just "less than."), and the line pointing to the left means that your variable is specifically less than the number circled.
Answer:
Bowler World: C = 1.1 g + 5
Lucky Spares: C = 1.5 g + 3
The cost is the same for 5 games, The cost is $10.50
Step-by-step explanation:
5+1.1(5) = 5+5.5=10.50
3+1.5(5) = 3+7.5=10.50
Hopefully, this helped :)
