Casserole left over by Sam = 3/4 of the whole
Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole
Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:
an = a1 * r ^ (n-1)
Now, knowing that a1 = 2, and r = 4
We check
a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8
a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32
a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128
Therefore, this is the geometric function that this sequence fulfills.
Jim is 19
let fathers age be x then mothers age = x - 5 and Jim's age is 
(x - 5)
Total their ages and equate to 100
x + x - 5 + (x - 5 ) = 100
multiply through by 2 to eliminate the fraction
2x + 2x - 10 + x - 5 = 200
5x - 15 = 200 ( add 15 to both sides )
5x = 215 ( divide both sides by 5 )
x = 43
father is 43 years, mother is 38 and Jim is 19
With graphs on paper you can visually see intersecting lines(one solution), identical lines
(infinite solutions), or parallel lines(no solutions).
This method works best for lines that have integers for solutions. The task of determining rational or irrational solutions from graphs is difficult.
The substitution method usually must be used for equations with higher exponents. The deawback of this method is having to work with fractions.
The elimination method is often the method of choice.
This method however requires that you learn to recognize when the systems produce parallel lines or have equations that represent the same lines.
Answer:idk im on the quiz and im stuck just like you
Step-by-step explanation:
