Answer:
Step-by-step explanation:
<h3>#6</h3>
<u>Given equation:</u>
- 4/(x - 3) + 2/(x - 2) = 2
<u>Multiply all terms by (x - 3)(x - 2):</u>
- 4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
- 2(x - 2) + (x - 3) = (x - 3)(x - 2)
- 2x - 4 + x - 3 = x² - 5x + 6
- x² - 5x - 3x + 6 + 7 = 0
- x² - 8x + 13 = 0
- x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3
<u>Compare this to the given form to get:</u>
Correct choice is A
Answer:
15
Step-by-step explanation:
Given the
function f(x) = 10000(0.73)^x
<span>Where y
is The value of a boat, in dollars, </span>
<span>x
years after its purchase </span>
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329
so the decrease
D = $7300 - $ 5329
D = $ 1971
<span> </span>