Answer:
The function 
is continuous at x = 36.
Step-by-step explanation:
We need to follow the following steps:
The function is:
The function is continuous at point x=36 if:
- The function
exists at x=36. - The limit on both sides of 36 exists.
- The value of the function at x=36 is the same as the value of the limit of the function at x = 36.
Therefore:
The value of the function at x = 36 is:
The limit of the is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.
For this case:
Since
And
Then, the function is continuous at x = 36.
Step-by-step explanation:
there is something wrong with your question.
there is no parallelogram with 8 and 6 ft side lengths that has an area of 54 ft².
the maximum area of a parallelogram with 8 and 6 ft side lengths is 48 ft². and that is a rectangle 8×6 as a special form of a parallelogram.
the area of any parallelogram is calculated
Ap = base length × height
and height is the length of the line perpendicular to the base line to one of the corners on the opposite side (as long as the base line).
if Ap = 54, and the base length is 8, this means
54 = 8 × height
height = 54/8 = 6.75 ft
but the height can only be the length of a side connected to the base line or less. not longer.
and in our example here, this connected side is 6. so, the height can only be 6 or less. not 6.75.
so, there must be something wrong with your numbers.
once you get the actual numbers, use my approach above with them (replace whatever number is wrong here by the true value).
Getting rid of the decimal points, we realize that these numbers have a common denominator- 12. Since it takes Me 10 minutes to jog 1.2 miles, then it would take me 40 minutes to jog 4.8 miles
Answer:
1000
Step-by-step explanation:
P(x)=(x-(-5))(x-(-1))(x-2)(x-2)
P(x)=(x+5)(x+1)(x-2)^2
