Answer:
Positive
Step-by-step explanation:
Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.
Answer:5
Step-by-step explanation:5/3 x 3/1= 15/3= 5
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
Answer:
19/8
Step-by-step explanation:
8x-7=-12
8x=19
x=19/8
Answer:
4800$
Step-by-step explanation:
1 day = 600
7 years = 600 x 2 = 1200$
14 years = 1200 x 2 = 2400$
21 years = 2400 x 2 = 4800$
