Answer:
the answer would be C
Step-by-step explanation:
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.
Lets say that Maggie works 5 hours just the same as Braxton. if we use h(x)=f(x)+g(x) they would make about $100 combined. having to split that Braxton would make less then what he originally. since 9(5)+10= 55 and 6(5)+15=45. but if say Maggie works more then 5 hours then Braxton will be more money then just working alone.
Answer:
Step-by-step explanation:
Set is a well defined collection of objects .
We can express set in roaster form or set - builder form
<u>Roaster Form</u>
We express elements within curly brackets using commas between the elements .
<u>Set Builder Form</u>
In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .
We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .
(a)The set of all humans whose first name is Tanya or Nelson
We need to write this one in set builder form .
Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }
8k-4k+4+7-k =
8k-4k-k+4+7 =
3k+11