Answer:
Step by step explanation:
Given that,
Solution:
Solving for (f•g)(x):
Now substitute the given values.
Apply distributive property:
Hence,f•g(x) will be .
Well if you look into it 2/2 can also be written as 100/100 so since this is the case the answer is 1
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The question is incomplete. The complete question is as follows:
Solve for X. Assume X is a 2x2 matrix and I denotes the 2x2 identity matrix. Do not use decimal numbers in your answer. If there are fractions, leave them unevaluated.
· X· =<em>I</em>.
First, we have to identify the matrix <em>I. </em>As it was said, the matrix is the identiy matrix, which means
<em>I</em> =
So, · X· =
Isolating the X, we have
X·= -
Resolving:
X·=
X·=
Now, we have a problem similar to A.X=B. To solve it and because we don't divide matrices, we do X=A⁻¹·B. In this case,
X=⁻¹·
Now, a matrix with index -1 is called Inverse Matrix and is calculated as: A . A⁻¹ = I.
So,
·=
9a - 3b = 1
7a - 6b = 0
9c - 3d = 0
7c - 6d = 1
Resolving these equations, we have a=; b=; c= and d=. Substituting:
X= ·
Multiplying the matrices, we have
X=
Each tutor gets 12 students
120-72= 48
48/6=8
The academy will need 8 tutors if the academy has 120 students.
I hope this helped
A box has 4 sides, two short sides which are width by height and two long sides which is length by height.
A) Surface area = 2(LxH) + 2(WxH)
Surface area = 2(10x4) +2(6x4)
Surface area = 2(40) +2(24)
Surface area = 80 + 48
Surface area = 128 square inches for each box.
128 square inches x 100 boxes = 12,800 square inches.
B) 1 can covers 14,000 square inches which is greater then the total of the 100 boxes, so she will need to buy 1 can of paint.