Answer: exactly one solution
Explanation: first we have to solve it. so in 2 + 6x = 3x + 3 we have to subtract 2 from both sides and we get 6x = 3x + 1. then, we subtract 3x from both sides and we get 3x = 1. we divide both sides by 3 and get x = 1/3, which is the only solution.
hope this helped!
Answer:
Option A. x + 3
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
The area of a rectangle is given by:
Area (A) = length (L) × Width (W)
A = L × W
With the above formula, we can obtain the lenght of the rectangle as follow:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
A = L × W
(x² + 2x – 3) = L(x – 1)
Divide both side by (x – 1)
L = (x² + 2x – 3) / (x – 1)
Please see attached photo for explanation
L = x + 3
Thus, the length of the rectangle is x + 3
Answer:
Option: b is correct.
( Stocks have more risk than bonds, but offer more return).
Step-by-step explanation:
Bonds are debts while stocks are stakes of ownership in a company.
Bonds pay a fixed rate of interest, and guarantee principal payment at the end of the term, they're generally considered to be safer than stocks. That doesn't mean bonds are 100% safe.
<em>" Most investment professionals consider bonds a safe component of portfolios. They're supposed to provide the stability and certainty that stocks can't "</em>
<em>" In bond we have a fixed interest whereas in stock the rates could go much high "</em>
Hence, option b is correct. ( Stocks have more risk than bonds, but offer more return).
Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Step-by-step explanation:
Simply use the general equation of a circle to obtain its equation given the center. Because radius is 5 units, this may be referred to the 3-4-5 triangle, meaning the point on circumference is 3 units across in the x-direction and 4 units up in the y-direction.
