Answer:
y = 4x - 6
Step-by-step explanation:
12x - 3y = 18 is in standard form. We need to convert it to slope-intercept form, which looks like y = mx + b, with m being the slope and b being the y-intercept.
We know that 12x has to do with our slope, and 18 is our y-intercept. We need to put those on the right side of the equation so that we can isolate y on the left side:
12x - 3y = 18
Subtract 12x from both sides.
-3y = -12x + 18
Now, we can divide both sides by -3 to get y by itself.
y = 4x - 6
And that looks like slope-intercept form (y = mx + b).
Hopefully this was helpful! If you have more questions, let me know. :)
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
