Answer:
63+22i
Step-by-step explanation:
(8 - 3i)(6 + 5i)
FOIL
first: 8*6 = 48
outer: 8*5i = 40i
inner: -3i* 6 = -18i
last: -3i*5i = -15 i^2 = -15(-1) = 15
Add together
48+40i -18i +15
Combine like terms
63+22i
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:
5x-12
---------
12
Step-by-step explanation:
not sure if correct but hopefully
Answer:
9%
Step-by-step explanation:
We'll find the tax rate by looking at the proportion of tax to purchase amount.
That's
.
Malachy- $9
Gavin- $3
Gavyn- $6
Solution;
Add up all the numbers in the ratios. So 3+1+2 is 6. Now do the money ($18) divided by the tattled up ratio (6). 18 divided by 6 is $3 which is now equal to 1. Now for malachy you do his ratio (3) times our number equal to one of those ratios (3). 3 times by 3 is $9. Same for others. 1 times 3 is 3. 2 times 3 is 6.