Answer:
x=-1 and x=5
Step-by-step explanation:
we have

Solve it by completing the square method
We take the coefficient of x that is -4, divide it by 2 and then square it
so

square it

Adds 4 both sides

Combine like terms right side

Rewrite as perfect squares

take square root both sides


therefore


Answer:
People should be knowledgeable about equations and inequalities because they are often used to solve day to day life problems.
Often times real life problems are modeled using equations and inequalities
Step-by-step explanation:
Inequalities are used often in real life, businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials. Inequalities are used in engineering and production quality assurance.
An equation is the mathematical representation of those two things which are equal, one on each side of an 'equals' sign. Equations are useful to solve our daily life problem.
Answer:
y= 3x -6
Step-by-step explanation:
The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.
Given that the slope is 3, m= 3.
Substitute m= 3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.
When x= -2, y= 0,
0= 3(-2) -c
0= -6 -c <em>(</em><em>expand)</em>
c= -6 <em> </em><em>(</em><em>+</em><em>c </em><em>on </em><em>both </em><em>sides)</em>
Thus, the equation of the line is y= 3x -6.
Answer:

Step-by-step explanation:
The polynomial
can be factored exactly the same as the polynomial
. Here it factors into two numbers which multiply to 16 but add to 8. These factors are 8 and 2. So it factors into the expression (x+8)(x+2).
For the polynomial
it factors into the same factors except x ^n is used instead. The factors are 
Solution
The sequence is an Arithmetic sequence.
Here the 1st term = -13
An = A(n-1) + 4
Therefore, the common difference (d) = 4
2nd term = first term + common difference
2nd term = -13 + 4 = -9
The answer is -9.