We can simply multiply the roots together to find the original function.
(x + 2)(x - 4)(x - 4)(x - 3)
FOIL.
x^2 - 4x + 2x - 8(x - 4)(x - 3)
Combine like terms.
x^2 - 2x - 8(x - 4)(x - 3)
FOIL.
x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)
Combine like terms.
x^3 - 6x^2 + 32(x - 3)
FOIL.
x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96
Combine like terms.
<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
D. It has a positive slope and negative y- intercept.
Step-by-step explanation:
2y -3x = -4
We can rewrite the equation in the form of y = mx+ b where m is the slope and b is the y - intercept as,
2y = 3x- 4
Dividing all the terms by 2, we will get,
2y/2 = 3x/2 - 4/2
y = (3/2)x -2
So the slope is 3/2 which is positive and y-intercept is -2 which is negative.
Answer:
6103764457
Step-by-step explanation:
Answer:
A. (9 - 2.25)s ≥ 5,400
B. They will have to sell more than 800 sandwiches per month. I first started by solving the parentheses which is 6.75. Then I divided 5,400 by 6.75 to get 800.
C. It will now end up looking like this: (8 - 2.25)s ≥ 5,400. Then it will be 5.75. Then divide 5,400 by 5.75. Then you end up with 939.13. You have to round up when you are talking about inequalities with money so it will be 940. So they will have to sell 140 more sandwiches during that month.
Step-by-step explanation: