Answer: A horizontal translation 2 units to the left
In this case, we are changing the variable x before it is being squared. This will have the effect of changing the input of the function. Imagine input 2 into the equation. Your first step would be to add 2. Therefore, you would need to start with a negative 2 to get us back to 0, or the beginning.
Since -2 is to the left of 0, the graph is moving 2 units to the left.
Answer:
36 teachers
Step-by-step explanation:
total students=128+121+135=384
groups of 32=384/8=12
teachers=12x3=36
To figure out the degrees, you would create a ratio.
Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.
your ratio should look like,
65/100=x/360
cross multiply and get
65(360)=100x
23400=100x
x=234
It looks hard to read like this, but if you write it out on your paper it should make more sense!
Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
