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umka2103 [35]
3 years ago
15

The chess club has 16 members and gains a new member every month. the film club has 4 members and gains 4 new members every mont

h. write and solve a system of equations to find when the number of members in both clubs will be equal.
a. 2 months
b. 3 months
c. 4 months
d. 5 months
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0
<span>For chess club:
y1 = 16 + 1*x where y1 = total number of members after x months .
For film club:
y2 = 4 + 4*x where y2 = total number of members after x months.

y1 = y2 when:
16 + x = 4 + 4x
3x = 12
x = 4 months
Answer: C. 4 months.</span>
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(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

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Substitute values for a, b, n and r in

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(5-\frac{1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......

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(5-\frac{1}{2})^6 = ......+15(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15(5)^2(\frac{-1}{2})^4+.......

<em>Check the list of options for the expression on the left hand side</em>

<em>The correct answer is </em>(5-\frac{1}{2})^6<em />

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