Answer:
<u>8/10 hours or 48 minutes.</u>
Step-by-step explanation:
State the problem as a rule of 3:
3/4 room --------- 3/5 hours
1 room ------------ x
x= 0.8 hours.
• How much is 0.8 hours in minutes?
0.8 * 60 = 48 minutes.
Answer:
y = 120x
Step-by-step explanation:
y=mx + b is what we need where m is the slope and b is the y-intercept.
the train travels at about 120km/hour, thus the slope is 120.
y= 120x +b. to find the y intercept plug in any coordinate.
240 = 120(2) +b. you find that the y-intercept is 0.
final equation: y= 120x
Y = |x² - 3x + 1|
y = x - 1
|x² - 3x + 1| = x - 1
|x² - 3x + 1| = ±1(x - 1)
|x² - 3x + 1| = 1(x - 1) or |x² - 3x + 1| = -1(x - 1)
|x² - 3x + 1| = 1(x) - 1(1) or |x² - 3x + 1| = -1(x) + 1(1)
|x² - 3x + 1| = x - 1 or |x² - 3x + 1| = -x + 1
x² - 3x + 1 = x - 1 or x² - 3x + 1 = -x + 1
- x - x + x + x
x² - 4x + 1 = -1 or x² - 2x + 1 = 1
+ 1 + 1 - 1 - 1
x² - 4x + 1 = 0 or x² - 2x + 0 = 0
x = -(-4) ± √((-4)² - 4(1)(1)) or x = -(-2) ± √((-2)² - 4(1)(0))
2(1) 2(1)
x = 4 ± √(16 - 4) or x = 2 ± √(4 - 0)
2 2
x = 4 ± √(12) or x = 2 ± √(4)
2 2
x = 4 ± 2√(3) or x = 2 ± 2
2 2
x = 2 ± √(3) or x = 1 ± 1
x = 2 + √(3) or x = 2 - √(3) or x = 1 + 1 or x = 1 - 1
x = 2 or x = 0
y = x - 1 or y = x - 1 or y = x - 1 or y = x - 1
y = (2 + √(3)) - 1 or y = (2 - √(3)) - 1 or y = 2 - 1 or y = 0 - 1
y = 2 - 1 + √(3) or y = 2 - 1 - √(3) or y = 1 or y = -1
y = 1 + √(3) or y = 1 - √(3) (x, y) = (2, 1) or (x, y) = (0, -1)
(x, y) = (2 ± √(3), 1 ± √(3))
The solution (0, -1) can be made by one function (y = x - 1) while the solution (2 ± √(3), 1 ± √(3)) can be made by another function (y = |x² - 3x + 1|). So the solution (2, 1) can be made by both functions, making the two solutions equal.
Answer:
Check below
Step-by-step explanation:
So 1 the relationship between the height of the tree and the time since it was planted is a set of unconnected points, since the tree eventually stops growing, it's not continuous.
2. The relationship is between the number of 12 dollar dvds and the total cost is a solid line, because you can buy an infinite amount of dvds so it's continuous.
3. The relationship between the height of a small child and the age of a small child recorded in months is a set of unconnected points. It's over the course of months, and he will eventually stop growing, so it's not continuos.
