Answer:
m = 8
Step-by-step explanation:
-2(5 + 6m) + 16 = -90
Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.
-10 - 12m + 16 = -90
Simplify the left side of the equation by combining like terms.
6 - 12m = -90
Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.
-12m = -96
Divide both sides of the equation by -12 to isolate and solve for m.
m = 8
Bro I’m rly sorry but I don’t know the answer to this
13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 <span>
If we graph both lines we can get the solution of the system (point of intersection)
The best estimate is (x,y) = (-2.625, 0.688)</span>
Find the common denominator of 3 and 6. which is 6. now just subtact 2 and 1 which is 1. ur answer is 1/6
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
