Answer:
B) 6.5
Step-by-step explanation:
Y. -7—— -1, 2—— 8
When x=2.5
6.5
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When graphing a system of equations, the solution is the point where the two lines meet. We see that they intersect at (-2,4).
Therefore, the solution to the system of equations is (-2,4).
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Answer:
26 minutes on the bicycle
Step-by-step explanation:
Let t and b represent the number of minutes on the treadmill and bicycle, respectively. The problem statement tells us two ways to relate these values.
t + b = 60 . . . . . Amy exercises a total of 60 minutes (1 hour)
9t +6.5b = 475 . . . . . she burns a total of 475 calories
Since we want to find the value of "b", we can use the first equation to write an expression that will substitute for t.
t = 60 -b
9(60 -b) +6.5b = 475
540 -2.5b = 475 . . . . . . simpify
-2.5b = -65 . . . . . . . . . . subtract 540
b = 26 . . . . . . . . . . . . . . . divide by -2.5 (equivalently, multiply by -2/5)
Amy spends 26 minutes exercising on the bicycle.
You can rewrite this expression as 1800 x (1/1.2)^t
Now you just simplify
= 1800(10/12)^t
= 1800 (5/6)^t
So B is your answer!
Answer:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that 
. So
Finding the slope:
Perpendicular to y = 2/3x + 1 means that:
So
