Answer:
continuous.
Step-by-step explanation:
Given function is
.
and value of a = 7.
Now we need to find if the given function
is continuous or not.
By definition of continuity, we know that a function is continuous at a given point if both left and right hand limits are equal.
Left Hand Limit = LHL

Right Hand Limit = RHL

Since both limits are equal at a=7 so we can say that given function is continuous at a=7
Answer:
37 hours and 12 minutes
Step-by-step explanation:
six men completed a task in 24 hours and 48 minutes which means (24 x 60) + 48 = 1488 minutes
x is the number of minutes it would take 4 men to complete
6(1488) = 4x
8928 = 4x
x = 2232
x = 2220 + 12 or 37 hours and 12 minutes
Step-by-step explanation:
The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.
y = 40 − 1.2x
When y = 0:
0 = 40 − 1.2x
1.2x = 40
x = 33 ⅓
The snowplow stops moving when the snow is 33 ⅓ inches deep or more.
Answer:
1608
Step-by-step explanation:
The original price was $22.5.
18 divided by 0.8 is 22.5.
If you double check 22.5 times 0.8, you will get 18, your sales price.