Answer:
Step-by-step explanation:
Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are
1) z = 3x/y
z varies directly with x and inversely with y.
2) w = abc/4
w varies inversely with a,b and c. 4 is the value of the constant of variation.
<h2>
Answer:</h2>
By process of elimination, we can eliminate:
- <em>A:</em> <em>y = 3x - 1</em>
- <em>C: y = 3x + 1</em>
- <em>B: y = -3x</em>
<em>A and C</em> don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. <em>B </em>is not it either because the line <em>does not</em> go <em>down</em> from <em>left to right</em>, therefore, the slope is <em>not</em> negative.
The answer is <em>D: y = 3x</em> because since the line goes <em>up</em> from <em>left to right</em>, the slope is positive, and the y-intercept is the origin, so the equation will have no b.
ANSWER:
Domain: {3, 7, 4, a}
Range: {a, b, 4, 0}
Answer: x= -36
Step-by-step explanation:
-36/-4=9
If you have multiple equations with multiple variables, you can either do clever substitutions, or turn it into a matrix on which you can perform linear combinations or multiplications (Gauss elimination)
1 1 1 1
2 1 -1 8
1 -1 1 -5
(note how the above 3 rows represent the 3 equations, just got rid of the variables, plus sign and equals sign)
subtract row1 from row3, that eliminates x and z from row 3.
1 1 1 1
2 1 -1 8
0 -2 0 -6
divide row3 by -2, that will give y a factor of 1
1 1 1 1
2 1 -1 8
0 1 0 3
The last row now says y=3
