Answer:
The original cost is $350
Step-by-step explanation:
Let's assume
original cost of computer is x
There is a 10% off sale on laptop computers
So, amount saved is
now, we are given
someone saves $35 on a laptop
so, we can set them equal
and then we can solve for x
we can divide both sides by 0.10
and we get
So,
The original cost is $350
Answer:
Step-by-step explanation:
REcall the following definition of induced operation.
Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.
So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.
For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).
Case SL2(R):
Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So
.
So AB is also in SL2(R).
Case GL2(R):
Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So
.
So AB is also in GL2(R).
With these, we have proved that the matrix multiplication over SL2(R) and GL2(R) is an induced operation from the matrix multiplication over M2(R).
Answer:
The number of trucks required is 17.
Step-by-step explanation:
28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?
For the transportation of 28.5 kg, one truck is required.
Total mass = 484.5 kg
The number of trucks required is
n = total mass/ mass of one