Let l and l-6 be the length and width, respectively, of the rectangle. Then:
l(l-6)=40
l²-6l-40=0
(l-10)(l+4)=0
l=10,-4
The rectangle is 10" by 4". ☺☺☺☺
ANSWER
8, 10, 12, 14, . . .
EXPLANATION
The given rule for the sequence is :
f(n)=2n+6
The domain for a sequence is the set of natural numbers.
When n=1,
f(1)=2(1)+6=8
When n=2,
f(2)=2(2)+6=10
When n=3,
f(3)=2(3)+6=12
When n=4,
f(4)=2(4)+6=14
Therefore the sequence that follows the given rule is
8, 10, 12, 14, . . .
Audiiiiiiiiiiiidididjdjejdjdjdjddmdmdjdjdjdjdjjdkdkx
To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.
So, for the first function, you have
The name of the variable is obviously irrelelvant, so the same goes for the second function:
