<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)
Factorize out (4 -3i)
(4 -3i)( (5 +2i) - (5 -2yi) )
= </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>
= </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>
= (4 -3i)(2i + 2yi)
= (4 - 3i)(2 + 2y)i. Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
= 8 - 6i + 8y - 6yi
= 8 + 8y - 6i - 6yi
(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
= 8i + 8yi - 6i² - 6yi²
= 8i + 8yi - 6(-1) - 6y(-1)
= 8i + 8yi + 6 + 6y
= 6 + 6y + 8i + 8yi
= (6 + 6y) + (8 + 8y)i In the form a + bi
Answer:
599/711
Step-by-step explanation:
Band Sports Debate Total
Male 105 320 7 432
Female 105 160 14 279
Total 210 480 21 711
P(female or plays sports)
We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them
P(female) + P (sports) - (female and sports)
female/total + sports/total - female sports/ total
279/711 + 480/711 - 160/711
599/711
Question:

There are two methods of doing this. One is via long division. It is long, and hard to type in a meaningful way, so I will not include that method. The other, which I often employ for dividing by small amounts such as 4, is to divide it in half 2 times. This is possible because 4 = 2 times 2. You now have the fractions

Therefore the solution is 90.
Answer:
Step-by-step explanation:
y
=mx+b
y=-4x+2
Answer:
£6000
Step-by-step explanation:
3:5:8
3+5+8=16
5-3 =2
Therefore 2=750
Therefore 1=375
16*375=£6000