Answer:
domain: {-7, -3, 0, 5}
range: {-5, -2, 1, 2}
Step-by-step explanation:
The domain of this set of ordered pairs is the set of input values (x-coordinates): {-7, -3, 0, 5}, and the range is that of output values (y-coordinates): {1, 2, -2, -5} or {-5, -2, 1, 2}.
Answer:
P(x) = -1.1x +49
Step-by-step explanation:
You are given the percentage in 2000 (for x=0) as 49, and told that its rate of change is -1.1 percent per year. So, with a slope of -1.1 and an intercept of 49, the slope-intercept form of the linear equation becomes ...
P(x) = -1.1x +49
_____
The slope-intercept form for slope m and y-intercept b is ...
y = mx + b
Answer:
52.7 g
Step-by-step explanation:
We are given;
- Initial mass of the element is 310 g
- Rate of decay 8.9% per minute
- Time for the decay 19 minutes
We are required to determine the amount of the element that will remain after 19 minutes.
We can use the formula;
New mass = Original mass × (1-r)^n
Where n is the time taken and r is the rate of decay.
Therefore;
Remaining mass = 310 g × (1-0.089)^19
= 52.748 g
= 52.7 g (to the nearest 10th)
Thus, the mass that will remain after 9 minutes will be 52.7 g