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d1i1m1o1n [39]
3 years ago
11

Eight less than the product of 7 and a number is 3. Use the variable w for the unknown number

Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0
W = unknown number
7w - 8 = 3    (product of 7 and a number, w, subtract 8) is 3
7w = 11
w = 11/7


finlep [7]3 years ago
3 0
You could represent this using an algebraic equation such as
(7 x W)-8=3    then we could isolate w by adding 8 to both sides and then dividing by 7, which simplifies to W=11/7 or W= 1 4/7 
  
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a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx
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Meanwhile, the coefficients of the sine series are given by

b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx
b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)
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