Using the product rule, we have
so that
The equation of the tangent line to <em>W(x)</em> at <em>x</em> = 7 has all the information we need to determine <em>m'</em> (7).
When <em>x</em> = 7, the tangent line intersects with the graph of <em>W(x)</em>, and
<em>y</em> = 4.5 + 2 (7 - 7) ==> <em>y</em> = 4.5
means that this intersection occurs at the point (7, 4.5), and this in turn means <em>W</em> (7) = 4.5.
The slope of this tangent line is 2, so <em>W'</em> (7) = 2.
Then
The answer is that his average is 75.5 for the second nine weeks
The equations are in slope intercept form which is
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
3p=pe^tr,,3=e^0.04t ,,then use log to find t
Answer:
<h2> 21 km </h2>
Step-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
