9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The angles are complementary.
x° = 90° -57°
x = 33
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
The interval notation for the domain is
.
Step-by-step explanation:
Consider the provided information.
It is given that 
We need to find the value of
.
Put the value of g(x) in
.
....(1)
Now, put x=x-7 in 



From equation 1.

The domain of the function is the set of input values for which a function is defined.
Here, the value of
should be greater or equal to 0 as the square root of a negative number is not real.
Domain= 
The value of x is all real number greater than
.
Hence, the interval notation for the domain is
.
Answer: 4 units
Step-by-step explanation:
(5-1,3-3)=(4,0)==> 4 units
Answer:
The answer is 15.625 square meters per day.
Step-by-step explanation:
To solve this, divide the amount (500) by the amount of time it took to do it (32 days), which gives you 15.625 square meters per day.