This is the concept of combinations and factorials:
the number of ways 3 bags can be arranged in the closet is given by:
3!
=3×2×1
=6 ways
thus the bags can be arranged in 6 different ways.
Answer:
Solution of the given system of equations
x = 3 and y= 2
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given system of equations are
4x - y = 10 ...(i)
8x +5y = 34...(ii)
The matrix form
A X = B
<u><em>Step(ii):-</em></u>
<u><em>By using matrix inversion method</em></u>
<u><em></em></u>
<u><em></em></u><u><em></em></u>
|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28
Given matrix
Inverse of the matrix
<u><em></em></u>
<u><em>Step(iii)</em></u>:-
The solution of the given system of equations by using matrix inversion method
X = A⁻¹ B
<u><em>Final answer</em></u>:-
Solution of the given system x = 3 and y= 2
Answer: b
Step-by-step explanation:
Answer: All real
Step-by-step explanation:
The domain is all real numbers because it does not have any restrictions are the that y>or equal to 2. This restriction is on the range and not the domain.
Note: Domain is x values and Range is y values.
Answer:
9.48 ft
Step-by-step explanation:
Step one:
given data
Naomi's square bedroom has an area of 90 square feet
Area of the room = 90 ft^2
Required
the length of the side of the room
Step two:
we know that area is
A= L^2
substitute
90= L^2
L= √90
L=9.48 ft