Answer: 9 units
Step-by-step explanation: R is at -7 and is at 2. Think of how far away -7 is from 2. -7+9=2.
Answer: Linear
The equation is y = 2x-5
Slope = 2
y intercept = -5
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Explanation:
Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.
The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".
We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows
m = (y2-y1)/(x2-x1)
m = (3-1)/(4-3)
m = 2/1
m = 2
This confirms the slope is 2.
The positive slope means that the line goes uphill as you move from left to right.
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The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.
Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation
As a way to check, plug in something like x = 1 to find that...
y = 2x-5
y = 2*1-5
y = 2-5
y = -3
The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.
Answer:
(f+g)(x) = 60x + 400
Step-by-step explanation:
Given :
Amount in account A:
f(x) = 20x + 100
Amount in account B :
g(x) = 40x + 300
Total amount in Account A and B:
f(x) + g(x) = (20x + 100) + (40x + 300)
(f+g)(x) = (20x + 40x) + (100 + 300)
(f+g)(x) = 60x + 400
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