Answer:
18 and 19
Step-by-step explanation:
Consecutive positive integers have a difference of 1 between them
let n and n + 1 be the 2 integers, then
n(n + 1) = 342, that is
n² + n = 342 ( subtract 342 from both sides )
n² + n - 342 = 0 ← quadratic equation in standard form
(n + 19)(n - 18) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 19 = 0 ⇒ n = - 19
n - 18 = 0 ⇒ n = 18
However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19
The 2 integers are 18 and 19
Function A has two x-intercepts and function B has one x-intercept.
<h3>x-intercept of a function</h3>
A function has an x-intercept at a point where y = 0
From the given table, you can see the output value is only zero at one point, hence the function B has only one intercept.
For the function A f(x)=|x|−4,
Since the function is a modulus function, hence the function will have 2 x-intercepts.
Learn more on x-intercept here: brainly.com/question/17932786
Answer:
0.3333 = 33.33%
Step-by-step explanation:
We have 2 vacancies that will be filled from among 10 people, so the number of combinations we have is a combination of 10 choose 2, which is 10*9/2 = 45 possibilities.
Among these possibilities, the cases where the 2 vacancies are occupied by men is:
We have 6 men for 2 vacancies, so is a combination of 6 choose 2, which is 6*5/2 = 15 cases.
From the 45 cases we have, 15 are cases that no woman was selected, so the probability that no woman is selected is 15/45 = 1/3 = 0.3333 = 33.33%
The answer of this problem is zero