Permutation so 5!/(5-3)!=5!/2!= 5 x 3 x 4= 60 ways.
Answer:
D. (y-2) becomes (y-5) and -5 < -2
Step-by-step explanation:
When transforming functions, the following applies:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
In this situation, the circle is shifted up 3 units and the variable y which controls this is in the function. To move it up you will subtract 3 in the parenthesis for (y-2) so it becomes (y-5). This will move the vertex 3 units higher.
Answer:
B. Only 140 is an outlier
Step-by-step explanation:
To properly identify an outlier, you must first know what it is. An outlier is a number that is either a lot higher or a lot lower than the average in a set of numbers. For example, if you had a number set of 1, 3, 4, 6, and 72, you can deduce that 72 is the outlier because it's very far away compared to the other numbers in the set.
In the set that's provided, the numbers tend to range in the double digits, going up in small increments from 15 to 89. However, we can see that 140 is a lot higher than the rest of the numbers in the set, so we can assume that 140 is an outlier.
Answer:
a) 5/21
b) 4/21
c) 4/21
d) 8/21
Step-by-step explanation:
total number of coins: 21
a) number if dollars: 5
therefore fraction is 5/21
b) number of quarters: 4
therefore fraction is 4/21
c) number of dimes: 4
therefore fraction is 4/21
d) number of nickels: 8
therefore fraction is 8/21
Answer:
Andrews residence is higher than Lisa's residence
Step-by-step explanation:
