30 is the greatest common factor I think
Answer:
Revenue and Expense = $230
No. of attendees: 10
Step-by-step explanation:
Let n be the no. of attendees
Expense = 50 + 18n
Revenue = 23n
Break even when:
50 + 18n = 23n
50 = 5n
n = 10
23n = 230
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
Answer:
A = B
Step-by-step explanation:
The correct option is;
A = B
Check:
A = {2,3,4}
B = {2,3,4}
Au B = A n B = {2,3,4}
A or B cannot be null.
check
A = {2,3,4}
B = {}
Au B = {2,3,4}
A n B = {}
Answer: .42857 liters of pure water
Step-by-step explanation:2.4 = .7w + 2.1
2.4 - 2.1 = .7w
.3 = .7w
w = .3%2F.7
