Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
The time to complete 2 levels is (c) 60 minutes
<h3>How to determine the time to complete 2 levels?</h3>
The table of values is given as
Number of Levels Time (hours)
2 ?
3 1.5
Express the blank (?) with y
Number of Levels Time (hours)
2 y
3 1.5
The ordered pairs from the table are
(x, y) = (2, y) and (3, 15)
The table shows the proportional relationship
This means that the equation can be represented as
y = Y/X * x
Where
(x, y) = (2, y)
(X, Y) = (3, 1.5)
So, we have
y = 1.5/3 * 2
Evaluate the quotient
y = 0.5 * 2
This gives
y = 1 hour
Convert to minutes
y = 60 minutes
Hence, the time is 60 minutes
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interest = principal x rate x time
interest = 1344-1200 = 144
principal = 1200
rate = 8% = .08
144 = 1200 x .08 x Time
Time = 1.5 yrs
Answer:
Step-by-step explanation:
(1). A = π r²
A = 4 π
Area of shaded region is 
= 
or 
(2). C = 4 π
In this case, the length of the bigger arc and the area of shaded region happen to be the same.
The length of the arc ADB is or
