Answer:
A) (x, y) = (2-3n, 4n-1) . . . . for any integer n
B) no solution
Step-by-step explanation:
A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...
4x +3y = 5
A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:
(x, y) = (2 -3n, 4n -1)
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B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.
Is there an equation with the question? This doesn't mean anything^
Answer:
7519 is already in the simplest form. It can be written as 3.947368 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Answer:
D. About 800 years
Step-by-step explanation:
Use the half-life equation:
A = A₀ (½)ⁿ
where A is the final amount,
A₀ is the initial amount,
and n is the number of half-lives.
0.90A₀ = A₀ (½)ⁿ
0.90 = (½)ⁿ
To solve for n, take log of both sides:
log 0.9 = n log 0.5
n = (log 0.9) / (log 0.5)
n = 0.152
It takes 0.152 half-lives. The half-life of carbon-14 is 5730 years.
0.152 × 5730 years = 871 years
The closest answer is D.
