Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Answer:
x-intercept(s): (-2, 0), (6, 0)
y-intercept(s): (0, -6)
Step-by-step explanation:
An x-intercept represents the point(s) at which the parabola intersects the x axis. A parabola can have 0, 1, or 2 x-intercepts.
A y-intercept represents the point at which the parabola intersects the y axis. A parabola always has exactly 1 y-intercept.
Hope it helps :) and let me know if you're still confused.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Answer:
Boys sent more text messages than girls during the
✔ night
.
In the morning, girls sent about
✔ 5
more text messages than boys.
Both boys and girls sent the most text messages in the
✔ evening
.
During the afternoon, the students sent a total of approximately
✔ 40
text messages.
Step-by-step explanation:
