3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2
Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2
Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10
Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2
Answer:
The correct option is;
C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
Please find attached the required function graph
Step-by-step explanation:
To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;
x 
F(x)
-4 30
-3 0
-2 6
-1 0
0 -18
1 0
2 150
The shape of a graph with multiplicity of 2
Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;
x = 1, -1, and, giving
(x - 1)·(x + 1)·(x - 3)² = 0
Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.
5x+6y=18
5x=18-6y
x=(18-6y)/5
Use that in the other equation
18(18-6y)/5 - 15y = 36
64.8-21.6y - 15y = 36
28.8=36.6y
.7868=y
Now put that number in for y on the first equation
5x+6(.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y = .78
look you see that im in 5 grade in I dont konw this stuff do the anser mite be 3577643577
Take 20 and divide it by 4 and you get 5mm squared .
There are four sides so take the total which is 20 mm and divide it by the sides to get one side.
Answer is 5mm squared
