Answer:
The domains are;
0 < x < 3 for f(x) = 15
3 ≤ x ≤ 7 for f(x) = 22
7 < x ≤ 15 for f(x) = 30
Step-by-step explanation:
The duration the amusement park is opened, t = 15 hours
The number of days the amusement is opened = 7 days a week
The prices for the admission are;
x < 3 hours = $15
3 ≤ x ≤ 7 hours = $22
x > 7 hours = $30
The functions are;
f(x) = 15 when x < 3; The domain = 0 < x < 3
f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7
f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.
Answer and explanation:
A quantitative variable is the one that can be measured numerically (in a discreet form or a function form). A qualitative variable are those that can´t be a numerical value but can be organized in groups.
Assuming these statements, we can determine that the variables in a), b) and h) are qualitative, while the variables in c), d), e), f) and g) are quantitative ones.
X=4
Y=-5
i hope that will help
Answer: 160 pieces
Step-by-step explanation:
1. Convert each mixed number into an improper fraction
4 4/5 = 24/5
2. Convert to the least common denominator. In this case, the least common denominator would be 10. Since the denominator in 24/5 is 5, multiply this fraction by 2/2 to get the denominator to equal 10.
24/5 * 2/2 = 48/10
3. Divide 48/10 by 3/10, using the keep, change, flip method
48/10 * 10/3
Multiply the numerators and denominators together, respectively.
480/3
4. Simplify
480/3 = 160
There are 160 pieces.
C all triangles are different