<span> |x| > 2.5
x < -2.5 , x > 2.5 </span>
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

Given, the equation of circle

By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)

Answer:
3600
Step-by-step explanation:
perimeter is 120ft
Goal is to get the largest area.
so you can start with a list of possible solutions:
1*119 = 119ft
2*118 = 236ft
.
.
.
60*60 =3600ft
61*59 = 3599ft
.
.
If you would like to know how many free throws did a basketball player attempted, you can calculate this using the following steps:
75% of x is 84
75% * x = 84
75/100 * x = 84
x = 84 * 100 / 75
x = 112 free throws
The correct result would be 1<span>12 free throws.</span>
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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