Can someone help me on my question please answer hurry
Answer:
Therefore the solution is = k{-7,5,1} where k ∈R
Step-by-step explanation:
Given that,
f₁(x) =x
f₂(x)= x²
f₃(x)= 7x - 5x²
Also,
g(x) = c₁f₁(x)+c₂f₂(x)+c₃f₃(x)
Putting the values of f₁(x), f₂(x) and f₃(x).
g(x) = c₁.x+c₂x²+c₃(7x-5x²)
Given condition that g(x)= 0
∴ c₁.x+c₂x²+c₃(7x-5x²)=0
⇒(c₁+7c₃)x +(c₂-5c₃)x² = 0
Comparing the coefficients of x and x²
∴c₁+7c₃=0 and c₂-5c₃ =0
Let c₃= k [k∈R]
Then c₁ = -7k and c₂=5k
Therefore the solution is = { c₁,c₂,c₃}
= {-7k, 5k, k}
=k{-7,5,1}
1/4a+1/3=1/3a+5/4
1/4a-1/3a+1/3=1/3a-1/3a+5/4
1/4a-1/3a+1/3=5/4
1/4a-1/3a+1/3-1/3=5/4-1/3
1/4a-1/3a=5/4-1/3
Figure the common denominator for 1/4a,1/3a, 5/4 and -1/3 which is 12
Multiply by 3 for 1/4a. (1)(3)/4(3a)=3/12a
Multiply by 4 for 1/3a. (1)(4)(3)(4a)=4/12a
Multiply by 3 for 5/4. (5)(3)/4(3)=15/12
Multiply by 4 for -1/3. (-1)(4)(3)(4)=-4/12
3/12a-4/12a=15/12-4/12
-1/12a=11/12
Multiply by -12/1 for -1/12a and 11/12
-1/12(-12/1)a=11/12(-12/1)
Cross out 12 and -12 , divide by 12 and then becomes -11.
Cross out -12 and -12 , divide by 12 and then becomes 1.
Cross out -1 and 1, divide by 1 and then becomes 1.
1*1*a=-11
a=-11
Answer: a=-11
Answer:
105
Step-by-step explanation:
$40 - $19.95 = $20.05
$20.05 divided by 0.19 (19¢) = 105.526316