I think if those three work together to make one gift box it should take them one hour. I would say this because three of them working together should cut it down by a good 2/3's. Ergo 1 hour. Have a good day
Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.
The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made.
y = 12(2*2)
y = 48
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Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
We can see that for every increment, the number gets
doubled positively. Since we are looking for the value when the repetition is
made infinite, therefore the value at that point would also be infinite. Since
infinite is imaginary, therefore the correct answer is:
<span>Does not exist</span>
Answer:
(5,0)
Step-by-step explanation:
"The zero" means the 'x-intercept' of the graphed equation.
That gives you the value of x (first number in the pair) that you substitute in the equation to make it true to get the value of y being 0, (the second number in the pair.
y = x - 5 substitute 0 for y and 5 for x and check
0 = 5 - 5 True.
Or to solve if no choices are there to select
0 = x-5 add 5 to both sides of the equation
0 + 5 = x -5 + 5 -5 +5 = 0
5 = x
Ot graph the equation
Answer D, because 3•6+6 does not equal 18.
