You have a function

.
Since the range of the function

is
![[-1,1]](https://tex.z-dn.net/?f=%5B-1%2C1%5D)
you have that

.
Answer: The range of given function is [0,3] and the correct choice is C.
Answer:
0.27 repeating.
Step-by-step explanation:
So to solve this we just have to use division.
1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.
11 goes into 30 2 times, so we have:
0.2
and 30-22=8
So we can add another 0 and make it 80.
Then 11 goes into 80 7 times. So we have:
0.27
and 80-77=3
So again, add the 0, we have 30.
11 goes into 30 2 times, so:
0.272
and 30-22=8
Add another 0 we get 80.
11 goes into 80 7 times.
So finally, we have:
0.2727.
This is a repeating decimal.
This can be shown as:
0.<u>27</u>
So this is your answer!
I was a bit confused with which one it was on your answer key, but knowing that it is 0.<u>27</u> I am guessing you can chose!
Hope this helps!
Answer:

Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

then with h = -3, k = -11 and r= 11, the equation of our circle is

9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8