Answer:
One solution
Step-by-step explanation:
To start, let's simplify the equations to slope-intercept form
y - 1/4x = =1
+1/4x +1/4x
y = 1/4x - 1
y - 2 = 4x
+2 +2
y = 4x + 2
As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.
Feel free to ask me any questions in the comments! :D
Answer:
1.)
Step-by-step explanation:
When driving downwards, that is negative because you are subtracting. Then, when driving upwards, you are adding.
Answer:
it is at sea level because 0 meters above sea level indicates that it has not changed from sea level
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
