Answer:
The answer to your question is 43
Step-by-step explanation:
2x³ + 8x² - 5x + 5 / x - 2
Process
1.- Use synthetic division
2 8 -5 5 2
4 24 38
2 12 19 43
Quotient 2x² + 12x + 19
Remainder 43
Answer:
JL = 52
Step-by-step explanation:
It is given in the question that K is the midpoint of JL.
So, JK = KL ......... (1)
Now, given that, JK =3x - 1 and KL = 2x + 8
Therefore, from equation (1), we can write
3x - 1 = 2x + 8
⇒ x = 9
So, JK = 3x - 1 = 3(9) -1 = 26 and KL = 2x + 8 = 2(9) + 8 = 26
Hence, JL = JK + KL = 26 + 26 = 52. (Answer)
Answer:
2
Step-by-step explanation:
Use the formula: change of y over change of x.
When you do that, your systems should look like this:
x1 = 2
y1 = 4
x2 = 6
y2 = 12
After that you plug these number into the corresponding variable.
(12 - 4) / (6 - 2) = 8/4 which equals 2.
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
Answer:
The center is (0,0) and the radius is 4
Step-by-step explanation:
x^2+y^2=16.
The equation of a circle can be written in the form
(x-h)^2+(y-k)^2=r^2 where ( h,k) is the center and r is the radius
(x-0)^2+(y-0)^2=4^2
The center is (0,0) and the radius is 4
