The problem says that V(x)
varies directly with its length. This is a proportionality problem. So, V(x) =
kl. If you are given a length of 25 inches and a k (proportionality constant)
of 15, you are required to find its volume V(x).
V(x) = kl
V(x) = (15) (25 inches)
<u>V(x) = 375 cubic inches</u>
<span>
The volume of the box is 375
cubic inches.
</span>
Answer:
x = 0, x = -4, and x = 6
Step-by-step explanation:
To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:
f(x) = x(x²- 2x- 24)
Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.
f(x) = x( x + 4) (x - 6)
From this, we can derive the zeros x = 0, x = -4 and x = 6.
The parent function is f(x) = x^3 with domain = all real numbers and range = all real numbers.
The given function is f(x) = x^3 - 2 with domain = all real numbers and range = all real numbers.
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em>
<em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
Substitute y + 2 for x in <em></em>
<em></em>
<em></em>
<em></em>
Collect Like Terms
<em></em>
<em></em>
<em></em>
<em></em>
Divide both sides by 6
Substitute 15 for y in
<em>Hence; the two odd numbers are 15 and 17</em>
