Top half:
D (x-2, y+3) E (x-3, y(+\-) 0) F (x+1, y-2)
P (x+1, y+2) Q (x+3, y+4) R (x+5, y+2)
David's : y = 12,350 - (240x)
Amanda's : y = 12,350 + (240x)
David's equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings
Answer:
5 chickens
Step-by-step explanation:
Let's set chickens and pigs with variables "c" and "p" respectively.
We know there a 16 animals in all, so there are:
c+p=16
We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:
2c+4p=54
Now we have our system of equations:
c+p=16
2c+4p=54
We are trying to find the number of chickens, so we write the first equation in respect to c.
p=16-c
Substituting the first derived equation to equation two:
2c+64-4c=54
Simplifying:
64-2c=54
2c=10
c=5
So there are 5 chickens.
Answer:
How did life during the Industrial Revolution differ in the North and the South?
In what ways did the Industrial Revolution make life better?
How did it make life more difficult? How did life during the Industrial Revolution differ in the North and the South?
In what ways did the Industrial Revolution make life better?
How did it make life more difficult?
Step-by-step explanation:
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.)
