Answer:
see explanation
Step-by-step explanation:
Given
3x² - 5x + 2 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 2 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the x- term
3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
Roots are x = 1, x =
For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5
Step-by-step explanation:
You can refer figure:
To find, the value of x = ?
We know that,
Consecutive angles are supplementary
The diagonals bisect the angles.
Divided by 2 both sides, we get
⇒
⇒
⇒
⇒ 4x =
⇒
⇒
∴ The value of x =
Thus, the required "option B) " is correct.