Answer: C
<u>Step-by-step explanation:</u>
Varies inversely means xy = k
A. 1(-3) = -3
2(-9) = -18
-3 ≠ -18
B. 1(-6) = -6
2(-12) = -24
-6 ≠ -24
C. 1(6) = 6
2(3) = 6
3(2) = 6
6 = 6 = 6 This works!
D. 1(-3) = -3
2(2) = 4
-3 ≠ 4
The only table that has the same k-value is option C.
Answer:
( x +4)^2 + ( y-7)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
( x-h)^2 + ( y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -4)^2 + ( y-7)^2 = 6^2
( x +4)^2 + ( y-7)^2 = 36
Answer: percentage of profit on the skirt is 11.1%
Step by step:
Let G denote price of gloves, and S the price of skirt, and let g dente the original cost of the gloves and s the cost of skirt. I will be using $ for the currency unit instead of the pound.
The sale equation is
$48 = G + S
100% profit on the gloves means:
G = 2 * g = 2 * $4
On the skirt, the profit is unknown ("x"):
S = x + s
We know that the total profit (total sale - total cost) after the sale is is 20%:
$48 - (s + $4) = 0.2 * (s + $4)
which finally gives us two equations with two unknowns:
$48 - (s + $4) = 0.2 * (s + $4)
$48 = 2 * $4 + x + s
which is straight-forward to solve. I got solutions as follows:
s = $36, x = $4
so the percentage of profit on the skirt is 100% * 4/36 = 11.1%
Answer:
3x^2-4x+12
Step-by-step explanation:
x(2x+3)+(x-3)(x-4)
2x^2+3x+x^2-3x-4x+12
2x^2+x^2+3x-3x-4x+12
3x^2-4x+12
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received