Answer:
3.333333333333...
Step-by-step explanation:
Answer: x<4
Step-by-step explanation: Let's solve your inequality step-by-step.
2x+1<9
Step 1: Subtract 1 from both sides.
2x+1−1<9−1
2x < 8
Step 2: Divide both sides by 2.
2x
/2 < 8
/2
x<4
Yes the first choice is the right choice.
Remember that the 3rd root range is from -infinity to infinity.
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
(5 + 7x + 6)/2 = 3x + 9
7x + 11 = 6x + 18
7x - 6x = 7
x = 7
EF = 3x + 9
= 3(7) + 9
= 21 + 9
= 30
