Hello from MrBillDoesMath!
Answer:
Number marbles >= 5
Discussion:
The only certain thing we can say is the jar contains at least 5 (green) marbles. The table shows probabilities, not certainties, and is no guarantee that any other marbles even exist in the jar,
Thank you,
MrB
Answer: 
<u>Move all terms to the left</u>
<u></u>
<u></u>
<u></u>
<u>Add all the numbers together, and all the variables</u>
<u></u>
<u></u>
<u></u>
<u>Multiply elements</u>
<u></u>
<u></u>
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<u>Move all terms containing d to the left, all other terms to the right</u>
<u></u>
<u></u>
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
Answer:
22.143
Step-by-step explanation:
49.419-27.276=22.143
For this case, we must indicate which of the given functions is not defined for
By definition, we know that:
has a domain from 0 to infinity.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when
.
While
if it is defined for 
, your domain is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.
So, we have:
with x = 0:
is defined.
with x = 0:
in the same way is defined.
Answer:

Option b