<u>Correct Question</u>
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?

Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:

Answer:

Step-by-step explanation:
The equation for a circle is given by:

Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

Let (1,2) be <em>x₁ </em>and <em>y₁ </em>and let (2.5,4) be <em>x₂ </em>and <em>y₂. </em>Therefore:

Thus, r is 2.5.
Plugging these numbers into the equation, we have:

Write the conjugates of them then FOIL both the top and bottom, then factor
$2.37 (the amount he spent on groceries) + <span>35¢ (or $0.35 he could spend on candy) = $2.72
Now you subtract this number from the five dollar bill to get the change.
5 - 2.72 = $2.28
His change was $2.28.
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Multiplicity
is how many times the root repeats
roots
r1 and r2 of a polynomial factor to
(x-r1)(x-r2)
so 3
multiplicty 2 means (x-3)^2 is in the factorization of that
polynomial
also,
for a polynomial with real coefients, if a+bi is a roots, a-bi is
also a root
5i is
a root, therefor -5i is a root as well
roots
are
(x-5i)(x+5i)(x-3)^2
if we
expand
x^4-6x^3+34x^2-150x+225
the
polynomial is
f(x)=x^4-6x^3+34x^2-150x+225