Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer:
c
Step-by-step explanation:
All we need to do is to divide the number of eligible voters by 62% to find out how many people have been registered:
55200 ÷ 62% =
= 55200 ÷ 62/100 =
= 55200 * 100/62 =
= 5520000 / 62 =
= 89032,25806451613 ≈ (note the rounding to the nearest whole number)
≈ 89032
Doublecheck:
89032 * 62% =
= 89032 * 62/100 =
= 5519984 / 100 =
= 55199,84 ≈ (the difference is because of the rounding before)
≈ 55200
Answer: There were 89,032 people registered.