Answer:
18 numbers between 650 and 780 leave remainders of 4 when divided by 7.
12 numbers between 650 and 780 leave remainders of 6 when divided by 11.
Step-by-step explanation:
1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,
2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,
Answer:
axis of symmetry is 
.
The ordered pair of the vertex is 
.
Step-by-step explanation:
Your function is a quadratic.
Compare 
to 
.
You should see that 
.
The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing 
.
So here we go!
The axis of symmetry is 
.
When you write your axis of symmetry be sure to write it as an equation.
That is the axis of symmetry is .
Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for 
into
.
Put into calculator:
when
The ordered pair of the vertex is .
Answer:
C. And the reference angle is pi/3
Step-by-step explanation:
Let me give you a little quick way to do this. You’re probably trying to memorize the unit circle and figure out what 2pi/3 equals. However, all you need is a bit of math.
Start with the denominator and multiply the numerator by its correct angle
Anything with 3 in it’s denominator, is a multiple of a 60 degree angle. The numerator is 2 so do 60 x 2, which equals 120. Your angle is 120 and will land in the top left quadrant.
Moving on to the reference angle. Think of this as being what you have left on the horizontal axis. The angle took up 120 degrees. Now find the rest. 180 - 120 = 60. Pi/3 equals 60 degrees
Answer:
yes, it's a function
Step-by-step explanation:
A function relates one input to one output, and it's "only" one output.
