Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.
Looking at each the polynomial:
3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)
2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)
Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4
Y = 4x + 1....slope here is 4. A parallel line will have the same slope
y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b
so ur parallel equation is : y = 4x - 3
Answer:
25/30 and 12/30
Step-by-step explanation:
6 and 5 have a least common multiple of 30
6*5 = 30
5/6 * 5/5 = 25/30
2/5 *6/6 = 12/30
Answer:
x= 6
y= 7
Step-by-step explanation:
multiply top by 2 then eliminate
