50 POINTS. Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. The
1 answer:
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we know that
The least
common multiple (LCM) of two or more numbers is the least
number, other than zero, that is a multiple of all the numbers.
In this problem, we are looking for the least common multiple of and
So
Multiply by
therefore
On the day after today, she will do both on the same day
the answer is
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
