Answer: p(x) = a (x-b)(x-c)(x-d)
Step-by-step explanation:
The first step is to determine the degree of the polynomial.
It shall depend totally on the linear factors given for the polynomial.
If there is one, it is a linear polynomial.
If there are 2, then it is a quadratic polynomial.
If there are three then it shall be a cubic polynomial.
Now let us assume that there are three linear factors.
We multiply those factors and write the polynomial.
If x-b, x-c & x-d are the factors we write
p(x) = (x-b)(x-c)(x-d)
But as we may have a leading coefficient so we write the polynomial as
Then we go on to expand this to get the polynomial in the standard form.
The outer diameter is 1/36*2+1/6
= 1/3 inches
Answer:
15
Step-by-step explanation:
She is currently 15. 45 years from now she will be 60. 60 is 4 times her current age. So right now, she is 15
Answer:
y = -1000x +11000
Step-by-step explanation:
<u>Given:</u>
(x, y) = (sales price, number sold) = (3, 8000), (6, 5000)
<u>Find</u>:
slope-intercept equation for a line through these points
<u>Solution</u>:
When given two points, it often works well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Filling in the given points, you have ...
y = (5000 -8000)/(6 -3)/(x -3) +8000
y = (-3000/3)(x -3) +8000
y = -1000x +3000 +8000 . . . . eliminate parentheses
y = -1000x +11000 . . . . the desired equation
$40 - $6.52 = 33.48, this is the total cost now divide 33.48 by 9 which = $3.72 per hot dog
