Answer:99/14
Step-by-step explanation:
33/7÷4/6
33/7×6/4
(33×6)÷(7×4)
198/28
Reduce to lowest term
99/14
Answer:
£30
Step-by-step explanation:
100% - 25% =75%
75% of £40
=£30
Answer: x = 1
3x + 4 = 7
subtract 4 from both sides
3x = 3
x = 3/3 = 1
Where x is years after 1999, the population is predicted to be ...
p(x) = 478,434*1.07^x
For x=11, this is
p(11) = 478,434*1.07^11 ≈ 1,007,033
The relation predicts the Las Vegas population in 2010 to be 1,007,033.
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
