Elsa and Olaf's teacher gave them a system of linear equations to solve. They
each took a few steps that led to the systems shown in the table below.
1, Systems
quivalent
tions and the
hod
Teacher
5x + 3y = -1
stems of
with elimination
43 - 9y = 8
Elsa
method
tems of linear
4.2 - 9y = 8
Olaf
15x + 9y = -3
4x - 9y = -5
9x - y = 7
cample:
systems of
Which of them obtained a system that is equivalent to the teacher's system?
Remember that two linear systems are "equivalent" if they have the same solution.
kample: non-
systems of
Choose 1
t systems of
review
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Only Elsa
® Only Olaf
lutions to sys...
Both Elsa and Olaf

positive

step-by-step explanation:

the quadrant is facing upwards

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

play black ops 4 answer a

step-by-step explanation: