Answer:
C = 0.5t + 12. Independent variable is t and the dependent variable is C.
Step-by-step explanation:
$12 is constant, and then $0.50 is multiplied to the amount of toppings (t). So C= 0.5t + 12 and the cost is dependent on the amount of toppings.
Consider the expression

To factorize the expression in the denominator we use difference of squares:

To factorize

we use the following method:

where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So



for x>2

thus
for x>2,

Answer:
for x>2

, (but the expression is never 0)
Answer:
cups.
Step-by-step explanation:
From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).
If he poured all 5 of this bottle sizes in 1 container, he would have the following:

cups.
Answer:
L=22feet
w=19feet
Step-by-step explanation:
Perimeter(p)=82
Length=(L)
Width=(w)
P=2L+2w
2L+2w=82 .......(1)
L-w=3........(11)
From (11) L=3+w
Substitute L=3+w in (1)
2(3+w)+2w=82
Clearing brackets
6+2w+2w=82
6+4w=82
Collect like terms
4w=82-6
4w=76
w=76/4
w=19
Substitute w=19 in (11)
L-19=3
Collect like terms
L=3+19
L=22
The gcf of 86,129 and 215 is <u>43</u>.