Answer:
<em>Part A: </em>
<em>c = 1.15p</em>
<em>c(2) = $2.30</em>
<em>Part B: </em>
<em>c = 0.90p</em>
Part B:
Step-by-step explanation:
<u>Linear Models</u>
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
We have that
t²<span> – 81
</span>
we know that
A difference of two perfect squares, <span> (A</span>²<span> - B</span>²)<span> </span><span>can be factored into </span><span> (A+B) • (A-B)
</span> let
A²-------> t²
B²-------> 9²
then
(t² – 9²)------->(t+9)*(t-9)
the answer is
(t+9)*(t-9)
Answer:
f(g(2)) = 102
Step-by-step explanation:
f(x) and f(g(2))
As we can see, we can find g(2) and substitute this value into
f(x)=x² + 2x + 3 instead of x.
g(x) = x² + 5, g(2) = 2² + 5 = 9
f(x)=x² + 2x + 3
f(9)=9² + 2*9 + 3= 102
Answer:
12/17
Step-by-step explanation:
total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)
11 + 15 - 2 = 24
over the total number of marbles (34)
24/34 simplifies to 12/17
Thanks for the extra points i most definitely needed it
