X^2 + x + 1 + 3x^2 + 3x + 2. Just combine the like terms:
x^2 + 3x^2 + x + 3x + 1 + 2
4x^2 + 4x + 3. <--- the sum.
Answer:
7.86 is the answer
Step-by-step explanation:
30% of 24.50 is 7.35.
7.35+ 7% is 7.86
7.86 to the nearest cent is 7.86
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.
In your equation, h = -3 and k = -8.
Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2
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%