Answer: x = -22
Step-by-step explanation:
Look at picture!
Answer:
-7x - 6
Step-by-step explanation:
1
Distribute
(−2+5)−1(6+4)+(−7)
(−2+5)−6−4+(−7)
2
Eliminate redundant parentheses
(−2+5)−6−4+(−7)
−2+5−6−4+−7
3
Add the numbers
−2+5−6−4+−7
−2−6−6+
4
Combine like terms
−2−6−6+
Answer:
−7−6
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
solve for "k", to find the "constant of variation",
then plug it back in the y = kx, to get the equation
now
what's is y when x = -1?
well, just plug that in the equation with the found "k" value,
to get "y" :)
The answer for the equation is 21
