The slope of the function is given by its derivative. You want to find the values of x such that the derivative is between -1 and 1.
... f'(x) = 0.4x +5
... -1 < 0.4x +5 < 1 . . . . . your requirement for slope
... -6 < 0.4x < -4 . . . . . . subtract 5
... -15 < x < -10 . . . . . . . multiply by 2.5
Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.
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The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.
Answer:
Step-by-step explanation:
A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 folding rods and 1 standard is $35. If 5 standard and 7 folding rods were manufactured, the cost would be $145. How much does it cost to manufacture each type of rod.
let S = standar rod
F= folding rod
2F + S =35
2F + S -2F =35 - 2F
or S = 35-2F
7F + 5S =145
7F + 5S -7F =145 -7F
or 5S =145-7F
Since S=35-2F
5S = 5X (35-2F)
5S = 175 -10F
which equals 145-7F
175-10F = 145-7F
175-10F +10F = 145 -7F + 10F
175 = 145 +3F
175 -145 =145 -145 + 3F
30 = 3F
F = 10
but S =35 - 2F
so S = 35 -2X10
S = 35-20 =15
check:
if F = 10 and S = 15
then 5S +7F should equal 145
5X15 + 7X10 = 75 + 10 =145
so F=10, S=15
Answer:
7! = 7x6x5x4x3x2x1 =5040
there are 5040 arrangements.
Answer:d
Step-by-step explanation:
c and b are out and d makes more sense than a
