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Ma1210 Mod3 Essay

  • Submitted by: jamburn57
  • on August 7, 2015
  • Category: College Admissions
  • Length: 657 words

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Below is an essay on "Ma1210 Mod3" from Anti Essays, your source for research papers, essays, and term paper examples.

MA1210
Mod3 3.1

Quadratic and Exponential Functions

  1.   Jerry wants to purchase some items whose cost function is C=3x+5, where x is the number of items. If Jerry spends between $50 and $80, find the minimum and maximum number of items that he can purchase.
C=3x+5
X=(c-5)/3                                     answer: 15 items min
X=(50-5)/3             x=15                             25 items max
X=(80-5)/3             x=25

  2.   A projectile follows a parabolic path whose height, in meters, is given by the function f(x) = -x2 + 2x +2. Find the maximum horizontal distance that the projectile may cover.
0 = -x2 + 2x + 2           Completing the square
0 = -(x2 - 2x     ) +2
0 = -(x2 - 2x + 1) + 2 + 1       answer: x=2(1+V3)
0 = -(x - 1)2 + 3
-3 = -(x - 1)2
3 = (x - 1)2
±√3 = x - 1
1 ± √3 = x

  3.   An archer’s arrow follows a parabolic path. The height of the arrow f(x) is given by f(x) = -16x2 + 200x +4, in feet. Find the maximum height of the arrow.
f(x) =-16x+200x+4 answer: 629 feet
a=-16
b=200
=-16 x 625/16 +50 x 25 + 4 = -625 + 1250 + 4 = 629

  4. At a grocery store, the number of customers arriving per hour is shown by the function f(x) = 2x+1. Find the number of customers that arrived in the 6th hour.
F(x)= 2x+1
X=6 answer=13
F(6) =2*(6) +1
=12+1=13

  5. The profit of an organization is calculated by the function P(x) = x2– 4000x + 7800000, where x is the number of units sold. If the net profit is 3800000, find the number of items sold.
P(x) =x^2 – 4000x + 7800000
3800000 = x^2 -4000x + 7800000       answer: number of items sold= 2000
X^2-4000x+4000000=0
(x-2000) ^2=0
X=2000
P(2000) =3800000

  6. The value of a machine depreciates according to the function f(x)=20000(1/2)x , where x is the time in years from the purchase of the machine. Find its value after 3 years.
1(x)=200000(1/2)^x
20,000(.5) 6 3 answer:2,500
20,000 *.125=2,500

  7. An object is thrown, and it follows a parabolic...

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  • Submitted by: jamburn57
  • on August 7, 2015
  • Category: College Admissions
  • Length: 657 words
  • Views: 185
  • 1 rating(s)

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Ma1210 Mod3. Anti Essays. Retrieved December 16, 2018, from the World Wide Web: http://parimatch-stavka7.com/free-essays/Ma1210-Mod3-759606.html


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