Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is <em>arithmetic </em>(a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form
, where
is the term number and
is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that
and hence
. Therefore, the 30th term of the sequence is
.
Answer:

Step-by-step explanation:
<h3> Reciprocal:</h3>

<h3>Additive inverse:</h3>

Now multiply,


Answer:
20 cups of punch
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If Elise adds 5 percent of each of the other ingredients
then
the new percentages are
Ginger Ale=40%+5%=45%
Orange Juice=25%+5%=30%
Pineapple Juice=20%+5%=25%
Sorbet=0%
Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion
Let
x ----> the total cups of punch

Answer: First option is correct.
Step-by-step explanation:
Since we have given that
If the factored form is given by

Then its standard form will be given by

if factored form is given by

Then its standard form will be given by

Hence, only first option is correct.