Simplify (x2 + 7x + 12)(x2 + 3x + 5).
1 answer:
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For between
and
, we have
when
;
for
; and
for
is continuous over its domain, so the intermediate value theorem tells us that
is true for .
For all , we take into account that
is
-periodic, so the above inequality can be expanded to
where is any integer. Equivalently,
To get the corresponding solution set for
simply replace with
:
Cary's age is 9 years MORE than Dan's age.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.
Here is how we can express that:
You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.
Here is how we can express that:
You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
