Step-by-step explanation:
Case 1 :


Case 2 :


Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:

The first number is three times the second number. So:

Substitute:

Solve for <em>b</em>. Subtract:

And divide both sides by two:

So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.
Answer:
The surface area of the gift box is = 
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:

in this case, r is not a number, but rather an expression, which is r =
.
The height of the gift box is twice the radius, which is h = 
To get our curved surface area, we carefully put the expressions for h and r into the equation.




The surface area of the gift box is = 
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:
x = 12 and 2
Step-by-step explanation:
x^2 - 14x + 48 = 0
(x - 12)(x - 2) = 0
x = 12 x = 2