This is not a polynomial equation unless one of those is squared. As it stands x=-.833. If you can tell me which is squared I can help solve the polynomial.
Ok, that is usually notated as x^3 to be clear. I'll solve it now.
x^3-13x-12=0
Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1
Then you have x^2-x-12 now you complete the square.
Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:
The x-term coefficient = −1
The half of the x-term coefficient = −1/2
After squaring we have (−1/2)2=1/4
When we add 1/4 to both sides we have:
x2−x+1/4=12+1/4
STEP 3: Simplify right side
x2−x+1/4=49/4
STEP 4: Write the perfect square on the left.
<span>(x−1/2)2=<span>49/4
</span></span>
STEP 5: Take the square root of both sides.
x−1/2=±√49/4
STEP 6: Solve for x.
<span>x=1/2±</span>√49/4
that is,
<span>x1=−3</span>
<span>x2=4</span>
<span>and the one from before </span>
<span>x=-1</span>
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change =
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change =
=
= 30
Answer:
x-intercept= -3
y-intercept= -2
m(slope)= (-2/3)
equation= y=(-2/3)x -2
Step-by-step explanation:
x-intercept: where the line hits the x-axis
y-intercept: where the line hits the y-axis
m(slope)= (y2-y1)/(x2-x1)
using the intercepts, (0,-2) and (-3,0)
(-2-0)/(0-(-3))
-2/(0+3)
-2/3
equation:
y=mx+b
we don't know b so to solve for it we can use any point as "x" and "y" but I am going to use (0,-2)
y= -2
m(slope) = -2/3
x= 0
b=?
-2=(-2/3)*0 +b
-2= 0+b
-2=b
so y=(-2/3)x -2
Answer:
14 1/13
Step-by-step explanation:
13/4*13/3=169/12=14 1/13