9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
The amount of profit the spirit club make on each shirt sold at the end of the year is = $2
<h3>Calculation of profit</h3>
The quantity of shirt bought by the club = $8 per shirt
At the end of the year they sold the shirts at discount of %25 each.
That is 25/100 × 8
= 200/100
= $2
Therefore, they made profit of $2 for each shirt they sold at the end of the year.
Learn more about profit here:
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Answer:
We can rearrange the interest formula
Answer:
30%
Step-by-step explanation:
(13-10)/10 × 100% = 3/10 × 100% = 30%
Answer:
You "FOIL" (First, Outer, Inner, Last).

Step-by-step explanation:
You "FOIL" (First, Outer, Inner, Last). Basically, you have to multiple each term by each of the other terms.
(3x+2)(4x-7)
(3x)(4x) + (17)(3x) + (2)(4x) + (2)(-7)
12x^2 - 21x + 8x - 14
12x^2 - 13x - 14