In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.
Do 15 and 40 have any common factors ?
Let's see . . .
The factors of 15 are 1, 3, <em>5</em>, and 15 .
The factors of 40 are 1, 2, 4,<em> 5</em>, 8, 10, 20, and 40 .
Ah hah ! Do you see that ' <em>5</em> ' on both lists ? That's a common factor.
So 15/40 is NOT in lowest terms.
Divide the numerator and denominator both by 5 :
15 / 40 =<em> 3 / 8</em>
3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.
Answer:
{324, 0, -6, 54}
Step-by-step explanation:
Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.
To get the range, we will find f(x) for all the domains
at x = -10
f(-10) = 3(-10)²-3(-10) - 6
f(-10) = 3(100)-3(-10) - 6
f(-10) = 300+30-6
f(-10) = 330-6
f(-10) = 324
at x = -1
f(-1) = 3(-1)²-3(-1) - 6
f(-1) = 3(1)-3(-1) - 6
f(-1) = 3+3-6
f(-1) = 6-6
f(-1) = 0
at x = 1
f(1) = 3(1)²-3(1) - 6
f(1) = 3(1)-3(1) - 6
f(1) = 3-3-6
f(1) = 0-6
f(1) = -6
at x = 5
f(5) = 3(5)²-3(5) - 6
f(5) = 3(25)-3(5) - 6
f(5) = 75-15-6
f(5) = 60-6
f(5) = 54
Hence the range of the relation are {324, 0, -6, 54}
Step-by-step explanation:
Where <em>c</em><em> </em>is the number of candy given to each friend and <em>b</em><em> </em>is the unknown number of candies in a box.
Answer:
4
Step-by-step explanation:
f(g(2)) means "put 2 into g(x) and then take that answer and put it into f(x)"
Given:
and
Now, let's find g(2) first:
g(x) = x - 1
g(2) = 2 - 1
g(2) = 1
Now, lets put this into f(x). So we have:
That is f(g(2)) = 4
