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.
Hmm, one way we can do this is by assigning numbers to each
A=4 and B=3
A>B because 4>3
so
A. 2(A+B)=2(4+3)=2(7)=14
B. A+B^2=4+3^2=4+9=13
C. A^2+B^2=4^2+3^2=16+9=25
D. A^2-B^2=4^2-3^2=16-9=7
the largest is 25 so C
First, we have to figure out the expression for the total price of potatoes. We find that by multiplying the price of potatoes per pound by how many pounds were bought. Robert bought x pounds of potatoes at $1.99 per pound. This can be written as:
$1.99x
Next, we have to find the equation for Robert's change. Change is defined as amount paid minus cost. In this scenario, Robert paid $10, and we already know the cost is $1.99x. So using this information, we can now write the equation:
$10 - $1.99x
So the answer is a.
The answer to your question would be: Because 4 + (-7) is an equivalent expression, your answer is -3. The reason for this can be described using integers. So lets say you have $4. You owe your brother $7. Since you don't have enough to pay him, you can pay him all your money, but you still have to pay him $3 more. This means technically your balance is $-3, cause if he needs the money, the second you get it he will ask for it. Sorry if this isn't too great of an example, not sure what else I could think of. Pretty much remember when subtracting a number, you can add the negative of the number, because that is the same thing. Hope this helps. Please rate, leave a thanks, and mark a brainliest answer (Not necessarily mine). Thanks, it really helps! :D
if there is any there should not be tho