Answer:
<h2>
k = 3</h2>
Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Question 4 of 5 Page 4 Question 4 (1 point) f(x) - 0.5x + 3 The function is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, X. The mathematical domain for the function is the set of real numbers. Which statement describes the limitation for the reasonable domain compared to the mathematical domain? O O O a b C d The reasonable domain contains only real numbers greater than 3. The reasonable domain contains only positive whole numbers The reasonable domain contains only rational numbers greater than 3. the reasonable domain contains only negative whole numbers Next Page Back were to search
Answer:
its about checkers cou nt and answer
Step-by-step explanation:
Answer:
Both answer are "B" im pretty sure. :)
Step-by-step explanation:
