Answer:
As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.
Step-by-step explanation:
In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.
In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.
We let x=-3 for the top equation.
So we set the second equation equal to -1.
So the value of c is 8. We can prove this by graphing as well.
Answer:
3/2 x^5 y
Step-by-step explanation:
3x^5y^3
----------------
2y^2
Simplify the y terms
y^3 / y^2 = y^(3-2) = y
3/2 x^5 y
<em>Answer:</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>- 3/4 = x - 6</em>
<em>- 3 = 4(x - 6)</em>
<em>- 3 = 4x - 24</em>
<em>4x = 24 - 3</em>
<em>4x = 21</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Good luck !</em>
Answer:
C
Step-by-step explanation:
using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c
<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
