Answer:
2x
Step-by-step explanation:
parallel lines are two lines that won't meet. the lines need to have the same slopes or else the will meet
Answer:
$26.25
Step-by-step explanation:
multiply 350 by 0.075
The percentage change of specific variables with a specific time period .
Answer:
(a) Slope and y-intercept; (b) y = mx; (c) y = x + b
Step-by-step explanation:
1. Need to know
Slope and y-intercept.
You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.
2. y-Intercept = 0
The form of the equation is y = mx + b, where b is the y-intercept.
If the intercept is zero, b = 0, and the equation has the form
y = mx
The graph is a straight line passing through the origin.
3. Slope = 1
m represents the slope. If m = 1, the equation has the form
y = x + b
If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.
Answer:
1845 years
Step-by-step explanation:
Decay of Carbon-14 is usually modeled by an exponential function. It x is the number of years since the original amount was brought into existence, then the fraction remaining (y) is modeled by ...
... y = (1/2)^(x/5730)
We want to find the value of x when y = 80% = 0.80. The equation is then ...
... 0.80 = 0.50^(x/5730)
Taking logarithms, we get
... log(0.80) = (x/5730)·log(0.50)
Multiplying by the inverse of the coefficient of x, we have
... x = 5730·log(0.80)/log(0.50) ≈ 1845 . . . . years
