Answer:
Graphic is showed in the figure below
Step-by-step explanation:
To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.
<em>x y= x + 1/x² y = 1/x</em>
1 2 1
2 2.25 0.2
3 3.11 0.33
4 4.06 0.25
When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞
The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x
Answer:
40 minutes
Step-by-step explanation:
The least common multiple of 8 minutes and 10 minutes is ...
LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40
The red and blue trains will arrive together again in 40 minutes
Distribute 7 to both n and 1
7(n + 1) = 7n + 7
5n + 7 = 7n + 7 - 2n
Combine like terms
5n + 7 = 7n - 2n + 7
5n + 7 = 5n + 7
If you want to solve for n, subtract 7 from both sides
5n + 7 (-7) = 5n + 7 (-7)
5n = 5n
then divide 5 from both sides
5n/5 = 5n/5
n = n
Effectively, this equation is <em>unsolvable</em>
hope this helps
Answer:
12 square feet
Step-by-step explanation:
The shape of the top of the desk is a trapezoid.
A = (b1 + b2)h/2
A = (5 ft + 3 ft)(3 ft)/2
A = (8 ft)(3 ft)/2
A = 24 ft^2/2
A = 12 ft^2
Answer: 12 square feet
Answer:
The correct option is b.
Step-by-step explanation:
The formula for standard deviation is

where,
is mean of the data and n is number of observation.
The variance of a stock's returns can be calculated by the above formula.
Variance of stock's returns is the average value of squared deviations from the mean.
Therefore the correct option is b.