Answer:
The formula is 10 - 3n
Step-by-step explanation:
For an nth term in an arithmetic sequence
U( n ) = a + ( n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the sequence above
a = 7
d = 4 - 7 = - 3
The formula for an nth term is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The final answer is
= 10 - 3n
Hope this helps you.
1. find equation
general solutions are:

for P(0,-11)

⇒

for p(1,-13)

and

solve for a and b:

the total equation is now:

To find the x-intercept set y=0 and solve for x
we know that
4 cups of lemonade = 1 quart
1 gallon of lemonade = 4 quarts
1 gallon of lemonade = 16 cups
Step 1
<u> find the amount of lemonade that's left expressed in cups</u>
5 glasses * 2 cups = 10 cups
16 cups - 10 cups = 6 cups.
There are 6 cups of lemonade left.
Step 2
<u> find the amount of lemonade that's left expressed in quarts: </u>
4 cups = 1 quart.
(6 cups divided by 4 cups will equal the quarts.)
6/4=1.5
6 cups = 1.5 quarts.
There are 1.5 quarts of lemonade left.
Step 3
<u> find the amount of lemonade that's left expressed in gallons </u>
4 quarts = 1 gallon.
(1.5 quarts divided by 4 quarts will equal the gallon)
1.5/4=0.375
1.5 quarts = 0.375 gallon.
There is 0.375 gallon left of lemonade.