Answer:
A
Step-by-step explanation:
To answer this, we need to see what happens to the curves on the given interval
For f(x), we have that there is a decrease as we are moving from a higher positive value of y to a lower positive value of y over the specified interval
For g(x), we can see that we are moving from a lower positive y value to a higher positive y value
What this mean is that the first option is correct
Answer:
False
Step-by-step explanation:
The volume of a right cylinder is given by the formula:

And the volume if a oblique cylinder is <em>also</em> given by the formula:

Regardless of the height, if the radius are different, then the volume would not be the same.
Algebraically:

Answer:
x + 1
Step-by-step explanation:
There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.
To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.
15 + 16 = 31
These numbers are too low, as they should add to 37. Let's try 18 and 19.
18 + 19 = 37
There are the two correct numbers. If x = the smaller number, x = 18.
18 + 1 = 19
Since this is correct, we know for sure that the answer is x + 1.
Let a and c represent, respectively, the price of an adult and a child ticket. We know that

Multiply the first equation by 3 and the second equation by 2 to get

Subtract the two equations to have

Plug this value in the first equation to get
