Answer:
D
Step-by-step explanation:
Answer:
3 x (3 x - 5) (3 x + 5)
Step-by-step explanation:
Factor the following:
27 x^3 - 75 x
Factor 3 x out of 27 x^3 - 75 x:
3 x (9 x^2 - 25)
9 x^2 - 25 = (3 x)^2 - 5^2:
3 x (3 x)^2 - 5^2
Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):
Answer: 3 x (3 x - 5) (3 x + 5)
Answer:
$47,200
Step-by-step explanation:
Given :
The total income of a married couple = $75,000.
Number of children = 2
Therefore to find the taxable income of a U.S. family is given by the following formula ---
taxable income = total income- exemption deduction - standard deduction
We know that exemption deduction for a U.S couple as fixed by the government is $15,600.
And the standard deduction for a U.S couple as fixed by the government is $12,200.
Thus in order to find the taxable income of the couple, use the formula
taxable income = total income- exemption deduction - standard deduction
= $75,000 - $15,600 - $12,200
= $47,200.
Thus the taxable income is $47,200.
We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or : 1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5 5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5
