Answer:
o-o
Step-by-step explanation:
Answer:
Y= 5/3x + -9
Step-by-step explanation:
Well its
y=mx+b
m is slope
B is y intercept
To fidn y intercept, just make sure the X value of any coordiante given is 0 and the y value is not 0. So basically anything with (0, y), thats your y intercept.
Slope Is just
(y2-y1) / (x2-x1)
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.
6 is easy
7. never divide by a fraction, flip ot upside down and multiply, so multiply by 5 on both sides
8. subtract 3.45 on both sides
9. the answer is just 1
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
