The value of <em>x </em>in the equation, (3x + 30), is 10.
Answer:
coefficent matrix
Step-by-step explanation:
P. 366
"If the column of constant terms is not included, the matrix reduces to that of the coefficent matrix of the system"
-1 -3 -1
9 -9 -1
-1 -3 4
Answer: See explanation
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.
Triangle inequality: 1 < x < 7
Hope that helped!
Answer:
After Two Hours.
Step-by-step explanation:
A simple way to do it is to:
1. Add 50+55, it is equal to 105. This is after one hour, so we know that it's more than this.
2. Add 50+55 to 105, This is after two hours, and we get 210, so we know that it has to be equal to 2 hours.
First we will find the derivative of each function and equate it to zero.
f` ( x ) = 6 x + 12
6 x + 12 = 0
6 x = - 12
x = - 2
f ( - 2 ) 0 12 - 24 + 16 = 4
f ( x ) min = 4
g` ( x ) = 4 cos ( 2 x - π )
4 cos ( 2 x - π ) = 0
cos ( 2 x - π ) = 0
2 x - π = 3π / 2
2 x = 5π /2
x = 5π/4
g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2
g ( x ) min = 2 ( this is the smallest minimum value )
