Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
Answer:
first quartile is 14
Step-by-step explanation:
{13,15,19,25,35}
first quartile = (13+15)/2 = 14
second quartile = 19
third quartile = (25+35)/2 = 30
Answer:
Expected number of hours before the the group exits the building = E[Number of hours] = 3.2 hours
Step-by-step explanation:
Expected value, E(X) is given as
E(X) = Σ xᵢpᵢ
xᵢ = each variable
pᵢ = probability of each variable
Let X represent the number of hours before exiting the building taking each door. Note that D = Door
D | X | P(X)
1 | 3.0 | 0.2
2 | 3.5 | 0.1
3 | 5.0 | 0.2
4 | 2.5 | 0.5
E(X) = (3×0.2) + (3.5×0.1) + (5×0.2) + (2.5×0.5) = 3.2 hours
Hope this Helps!!!
Answer:
area of rectangle and square
Answer:
h(x) = x - 3
Step-by-step explanation:
To find the inverse of a function, you can switch the x and y variables.
In f(x) = x + 3, the y variables is "f(x)".
y = x + 3
Now switch the x and y.
x = y + 3
Isolate for y and replace with h(x).
x - 3 = y
y = x - 3
h(x) = x - 3
