Answer:
x = 3/2 v - 3 (or x = 3v/2 - 3)
Step-by-step explanation:
v = 2/3 x + 2
v - 2 = 2/3 x
3/2 v - 3 = x
Answer:
Step-by-step explanation:
f(n) = 8 + 3(n) - 3
f(n) = 5 + 3n
f(1) = 5 + 3(1)
f(1) = 8
f(2) = 5 + 3(2)
f(2) = 5 + 6
f(2) = 11
f(3) = 5 + 3*3
f(3) = 14
f(4) = 5 + 3*4
f(4) = 17
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Answer:15 and 7
Step-by-step explanation:
X-Y=8 ,2X+3Y=51 ,X=Y+8,2(Y+8)+3Y=51 ,5Y+16=51,5Y=35 ,Y=7 , X=7+8=15
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00