14x-14>7x+7
14x - 7x > 7 + 14
7x > 21
x > 21/7
x > 3
Answer:
0.66608
Step-by-step explanation:
Equipment = 3 fans
Mortality = 0.098
We are required to find probability that equipment gets to work for 5years
The question says forces of mortality is constant and also equal to 0.098
To calculate p(x>5)
We will do this by calculating exponentially
e^-0.098x5
= 0.612626394
Probability that at least 2 fans out of 3 are working
3(0.612626394)²+(1-0.612626394)+(0.612626394)³
= 1.1259333x0.3873736+0.2299255
= 0.6660823470
This is approximately
<u>0.6608</u>
this is the probability that the equipment will work for at least 5years
A(x) = 3x + 1
b(x) = √(x-4)
Therefore
This composition of functions is only defined as a real number when x≥0.
Therefore its domain is x = [1,∞]
Answer: [1,∞]
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
If you would like to write a * b + c in simplest form, you can do this using the following steps:
a = x + 1
b = x^2 + 2x - 1
c = 2x
a * b + c = (x + 1) * (x^2 + 2x - 1) + 2x = x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x = x^3 + 3x^2 + 3x - 1
The correct result would be x^3 + 3x^2 + 3x - 1.
