Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
see below
Step-by-step explanation:
The experimental probability of heads is
P( heads) = 28/50 = 14/25
The theoretical probability is
P (heads) =1/2
Getting a common denominator for the experimental
25/50
comparing the experimental and the theoretical
28/50 > 25/50
experimental > theoretical
3.25 is rounded to the nearest thousandth
The answer is 5.25%.
$65,625/10yrs=$6,562.50 per a year.
6,562.5/125000= .0525 which translates to 5.25%.
Answer:
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
Step-by-step explanation:
Given dimensions of the square prism:
- length = 7 units
- width = 4 units
- height = 10 units
In order to find the surface area, we must find the area of each face.
Area of a rectangle = width x length
The square prism has 3 pairs of faces:
SA of bases = 7 x 4
SA of side 1 = 4 x 10
SA of side 2 = 7 x 10
So the total surface area is
2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared
<u>Solutions</u>
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
