-9x + 1 = 80....subtract 1 from both sides
-9x + 1 - 1 = 80 - 1...simplify
-9x = 79...divide both sides by -9
x = -79/9 <== ur answer
Hello!
To graph this, you will want to create two points based off of the equation. You plug an x-value into the equation, and you put the y-value outcome with it as an ordered pair. You do this twice, giving you two points to connect.
For example, let's plug in an x-value 1, giving us (1,y)
y= 1-3 (We remove the absolute value)
y=-2 (Subtract)
This gives us one point, (1,-2)
Let's try using -2 as another point.
y= 2-3 (Remove absolute value)
y= -1 (Subtract)
This gives us the point (-2,-1)
To graph, you would draw a straight line through the points (1,-2) and (-2,-1). Note you could do this with any x-value and you would get the same line.
I hope this helps!
The cost would be $4.74. 3.95 times 0.2 is 0.79. Add that to 3.95 and get 4.47
% means 100 so, 1.49/100=0.0149
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
