Answer:
1.
2.
3.
4.
5.
Step-by-step explanation:
In order to solve them you just have to multiply them and add them:






Note that both the numerator and denominator approach 0 as

, so we can try using L'Hopital's rule.

The denominator is nonzero at

, so the limit is equivalent to
Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
Answer:
The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.
Step-by-step explanation:
It is given that x-intercept is 1 and y-intercept is -2.
Now, the coordinate of the point is (1,0) and (0,-2).
We know that,
Slope = 



Now, Slope of the graph given
Co-ordinate is (-5,0) and (1,2).
Using the formula of slope




Now, 
Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.