Answer:
Step-by-step explanation:
a. How many groups of five songs can be chosen from a list of 35 songs?
Here combinations because order of songs selected doe snot matter hence
35C5 = 324632
b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?
Here combinations
8C3= 56
c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?
Here order matters so 9P2 = 72
d. How many ways are there to place seven distinct pieces of art in a row?
Here we use permutations because distinct pieces so order matters.
7! ways
e. How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?
Without replacement we have to use combinations
15C4 = 1365
All reals is the answer.
Since y =-9 graph is way below the absolute value graph. Meaning that y value of modulus is greater than the constant graph.
first since we have the variable "x" on both sides of the equation, we can subtract the lower number to make sure x is only on one side (subtract 10x from both sides)
20x + 4 = 10x + 100
10x + 4 =100
now we can subtract 4 from both sides
10x = 96
now we can divide both sides by 10 to isolate x
x = 9.6
hope this helped
