<h3>
Answer: y = x+1</h3>
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Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Answer:
1275000
Step-by-step explanation:
102000/0.08=1275000
Answer:
In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or 
mile.
Step-by-step explanation:
Math requires a lot of thing and a procedure of steps for each topic. Yes I agree
Use distributive property for each side of the equation
1.) 10(x+2)>-2(6-9x)
2. 10x + 20> -12+18x
Then whatever you do to one side of the equation, you do to the other. So we’re trying to get x alone on one side.
Subtract 10x from each side
3.)20> -12 + 8x
Add 12 to each side
4.) 32>8x
Divide each side by 8 to get x alone
5.) 4 > x
