F(x) = (x + 1)(x - 2)
f(x) = x(x - 2) + 1(x - 2)
f(x) = x(x) - x(2) + 1(x) - 1(2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
This is the concept of volume of solid figures, the volume of a given figure is given by:
volume=(base area)*(height)
In our case the base area will be given by the area of the trapezoid. Which is:
Area=1/2*h*(a+b)
height,h=x
a=x
b=2x
thus;
Area=1/2*x*(2x+x)=3/2x^2
Given that the height of the prism is 20 units, the volume will be:
V=(3/2 x^2*20)
V=30x^2 cubic units
The answer is 30x^2 cubic units
Answer:
Using the formula:
where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;
Subtract 5300 both sides we get;
or
We have to find the time period.
Using formula of Simple interest:
where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:
⇒
Divide both sides by 344.5 we have;
Therefore, the time period t in years is 4 years
Answer:
Number of Questions =3
Probability of giving a correct answer
Probability of giving two correct answers
Probability of giving all correct answers
Probability that at least one of them is correct
Probability that two of them is correct
Probability that all of them is correct
So, Required probability