The bakers at Good-For-You Bakery can make 500 bagels in 4 hours. How many bagels can they bake in 14 hours?
1 answer:
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Answer:
y = -6; -3; 0
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x) = 2x+2 , x < -3
f(x) = x, x = -3
f(x) = - x -2 , x > -3
From the graph, we can see that the values are
y = -6; -3; 0
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
