What does the line 5x + 4y = -6 look like
1 answer:
Answer:
See attached photo for graph
Step-by-step explanation:
Solve the equation for y... (that means get y by itself)
4y = -5x - 6 (subtract 5x from both sides)
y = -(5/4)x - 6/4 (divide both sides by 4)
y = -(5/4)x - 3/2 (simplify)
Now you can graph using slope-intercept method. The y-intercept is -3/2, and the slope is -5/4
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Answer:
It will be 290 years until there be one person for every square yard of land.
Step-by-step explanation:
We are looking for when the country's population is equivalent to its area in square yards: 31,000,000,000.
Write an equation for the situation: (Trickiest part)
p(x) = (5,667,000)(1 + 0.022)ˣ <= Can modify compound interest equation
31,000,000,000 = (5,667,000)(1 .022ˣ)
Started rounding off numbers
547.056 = 1 .022ˣ <=
Solve using log.
x = 2.738 / 0.00945 <= log(547.056) / log(1.022)
x = 289.7 <= Round up because rate is annual. Before the 290th year, the population is less than the number of square yards.
x = 290
Total amount with annual compound interest equation applied to this problem:
(Principle is starting investment)
Population = (Starting population)(1 + growth rate)^(time)