Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that in a quotient, the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
Simplify the expression
Using a graphing tool
The roots of the quadratic equation in the numerator are
x=-2 and x=1
so
Simplify the denominator
substitute in the original expression
Simplify
Is the equation of a line
The y-intercept is the point (0,-3) (value of the function when x is equal to zero)
The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)
Graph the line, but remember that the value of x cannot be equal to -2
The graph in the attached figure
Answer:
see explanation
Step-by-step explanation:
Given
A = 
bh
a. substitute b = 6 and h = 5 into the formula
A = × 6 × 5 = × 30 = 15 units²
b.
Multiply both sides of the formula by 2
2A = bh, that is
bh = 2A ← divide both sides by b
h = 
= 
= 
= 8
c
Using
bh = 2A ← divide both sides by h
b = 
= 
= 
= 6
So the function we're dealing with is
f(x) =
Factorising we get,
Therefore, the vertical asymptotes are at x = 3 and x = 6
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
