Answer:
.
Implied: .
Step-by-step explanation:
Get rid of the denominator by multiplying both sides of this equation with :
.
Isolate by moving
to the left-hand side of the equation. That is: add
to both sides of this equation.
.
By the symmetric property of equalities,
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}
Answer:
580.
Step-by-step explanation:
The provided information are:
Population mean = 500
Population standard deviation = 40
z-score = 2
The formula to calculate the z-score is:
x = data item.
The data item can be computed as:
Hence, the data item is 580.