Answer:
Step-by-step explanation:
2(3x−5)+4x−10=4x+2(x+6)
Step 1: Simplify both sides of the equation.
2(3x−5)+4x−10=4x+2(x+6)
(2)(3x)+(2)(−5)+4x+−10=4x+(2)(x)+(2)(6)(Distribute)
6x+−10+4x+−10=4x+2x+12
(6x+4x)+(−10+−10)=(4x+2x)+(12)(Combine Like Terms)
10x+−20=6x+12
10x−20=6x+12
Step 2: Subtract 6x from both sides.
10x−20−6x=6x+12−6x
4x−20=12
Step 3: Add 20 to both sides.
4x−20+20=12+20
4x=32
Step 4: Divide both sides by 4.
4x/4 =32/4
x=8
High=42/5; long =50/3
area of this is = 42/5 ×50/3=140
half of the wall is = 140/2=70
answer is 70
Answer:
0.61
Step-by-step explanation:
The computation of the probability of the working of the system is shown below:
But before that first we have to find out the total probability of sub-system i.e 2,3 and 4 i.e

= 0.48
Now the working of the system probability is
= 1 - [(1 - probability of component 1) × (1 - sub system probability)]
= 1 - [(1 - 0.75) × (1 - 0.48)]
= 1 - 0.39
= 0.61
Please find the attachment for better understanding.
Answer:
It comes from correct solution steps and is not a valid solution of the equation.
Step-by-step explanation:
Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.