Elimination Method
If we multiply the equation 3 by (-1) we obtain this:
If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z
1. Using the 3rd equation we can obtain X(Y,Z)
2. We can replace this value of X in the 1st and 2nd equations
3. If we simplify:
4. We can obtain Y from this two equations:
5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)
6. If we simplify, we obtain:
7. In conclusion, we obtain that
(X,Y,Z) =
The formula for x in terms of w is x = 3w² and the formula for y in terms of x is y = (1/112)x³
<h3>Variation</h3>
x = k × w²
w = 4, x = 48
48 = k × 4²
48 = k × 16
48 = 16k
k = 48/16
k = 3
So,
x = k × w²
x = 3 × w²
x = 3w²
y = k/x³
x = 2, y = 14
14 = k / 2³
14 × 2³ = k
14 × 8 = k
112 = k
So,
y = k/x³
y = 112/x³
y = (1/112)x³
Learn more about variation:
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C. (8,-2), (-2,5), (6,0) is a function, because all the numbers are different unlike A, B, and D those all have the same number either in there domain or range.
Answer:
<h2><em><u>
11.2 - B to C
</u></em></h2><h2><em><u>
12 - B to A
</u></em></h2><h2><em><u>
8.8 - A to C
</u></em></h2>
You have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
