Part A:
Function A:
Slope = (7-3)/(5-3) = 4/2 = 2
Equation:
y - 3 = 2(x - 3)
y - 3 = 2x - 6
y = 2x - 3
Funcion B:
(0, 3 ) and (-5, 0)
Slope = (3 - 0)/(0 + 5) = 3/5
y-intercept (0,3) so b = 3
Equation:
y = 3/5 x + 3
Function C:
y = 3x + 1
Part B:
Rate of change is the change in y over the change in x (rise/run). It's also the slope
Function A: rate of change = 2
Function B: rate of change = 3/5 (smallest)
Function C: rate of change = 3 (largest)
Order linear functions based on rate of change from least to greatest.
Function B: y = 3/5 x + 3
Function A: y = 2x - 3
Function C: y = 3x + 1
Answer:
Round out to the nearest 10th say 5 it would stay 5 unlike 8 would round to 10
Step-by-step explanation:
Answer:
30 questions
Step-by-step explanation:
You can discover this by doing 27 divided by . 90 which equals 30.
Answer:
x=3
Step-by-step explanation:
substitute into the equation
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
