Answer: Option (1)
Step-by-step explanation:
The domain and range of all linear functions is the set of real numbers.
The perimeter is twice the sum of the length and the width:
The area is the product of the dimensions:
So, the system is
Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
Answer:
<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>
Step-by-step explanation:
A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.
Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.
Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,
Putting the values,
