Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
Answer:
$257.50
Step-by-step explanation:
Because it has a higher amount.
Answer:
y ≥ -5
Explanation:
y is greater than -5 because the darkened line is heading towards the positive side.
(The positives are greater than the negatives.)
(The smaller negative numbers are greater than the larger negative numbers.)
A) Taken at a basketball championship, the sample must be considered to be biased—probably in favor of basketball. Any conclusion can only be applied to attendees polled at the championship.
b) If a conclusion is to be drawn about opinions of students at the school, then a method needs to be devised to obtain opinions from a random sample of students. Likely, care would need to be taken to ensure expressed opinions are not influenced by games scheduled or just concluded, or by other factors such as reported injuries. A random sample from a list of student ID numbers might be appropriate. The poll might need to be conducted between seasons.
Answer:
Positive real numbers
Step-by-step explanation:
The domain is all the possible values of x. Here, x represents the time that the ball falls.
Natural numbers are integers greater than 0 (1, 2, 3, etc.). However, the time doesn't have to be an integer (for example, x=1.5).
Positive integers are the same as natural numbers.
Positive rational numbers are numbers greater than 0 that can be written as a ratio of integers (1/1, 3/2, 2/1, etc.). However, the time can also be irrational (for example, x=√2).
Positive real numbers are numbers greater than 0 and not imaginary (don't contain √-1). This is the correct domain of the function.
