Math help!

2011-09-30 8:13 pm
1. Find the exponential function
圖片參考:http://r140.n100.queensu.ca:8080/webwork2_files/tmp/equations/c6/f8492a059d346544f0d118f5b37f291.png
.

A=?
C=?


2. If the system has infinitely many solutions, express your answer in the form
圖片參考:http://r140.n100.queensu.ca:8080/webwork2_files/tmp/equations/fe/7ca85459d2390dbf4a5dfdd0b8b8e91.png


6x + 4Y = -4
9x + 6Y = -6

x=?
y=?

回答 (1)

2011-09-30 8:29 pm
✔ 最佳答案
1.
f(x) = Ca^x ...... (1)

Put x = 0 and f(x) = 3 into (1) :
Ca^0 = 3
C = 3

Put C = 3, x = 2 and f(x) = 12 into (1) :
3a^2 = 12
a^2 = 4
(a^2) - 4 = 0
(a - 2)(a + 2) = 0
a = 2 or a = -2


2.
6x + 4y = -4
4y = -6x - 4
2y = -(3x + 2)
y = -(3x + 2)/2

Hence,
x = x
y = -(3x + 2)/2

2011-09-30 13:45:24 補充:
第 2 題:If the system has infinitely many solutions, express your answer in the form x = x and y as a function of x.

第 2 題題目的意思是:若果 system (指 equation system) 有無限個 solutions (第 2 題便是這個情況) ,則把答案寫成 x = x,y 寫成 function of x。
參考: 賣女孩的火柴, 賣女孩的火柴


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