Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
Answer:
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Step-by-step explanation:
Let x = the rate of the boat in still water and y = the rate of the current.
Distance traveled = 24 miles
Time taken for upstream motion = 2 hour
Time taken for downstream motion = 1.5 hour
Velocity of upstream motion = x - y
Velocity of downstream motion = x + y
We have
Displacement = Time x Velocity
Upstream motion
24 = 2(x-y)
x - y = 12 ----------------------------eqn 1
Downstream motion
24 = 1.5(x+y)
x + y = 16 ----------------------------eqn 2
eqn 1 + eqn 2
2 x = 28
x = 14 miles per hour
Substituting in eqn 2
14 + y = 16
y = 2 miles per hour
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Answer: The weight of the box is 0.2 pounds and the weight of the chocolates before any chocolates were taken out is 2 pounds
Step-by-step explanation:
Let x represent the weight of the box only.
The weight of the box of chocolates is 2.2 pounds. It means that the weight of the chocolate only is
(2.2 - x) pounds
After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. It means that
2.2 - 0.75(2.2 - x) = 0.7
2.2 - 1.65 + 0.75x = 0.7
0.75x = 0.7 + 1.65 - 2.2
0.75x = 0.15
x = 0.15/0.75
x = 0.2 pounds
The weight of the chocolates before any chocolates were taken out is
2.2 - x = 2.2 - 0.2 = 2 pounds
Answer:
c ) Turn off her phone until she is on a break
