When you write a function in the form 
, y is the dependent variable, and x is the independent variable.
So, if b is the independent variable, it means that we have to solve the expression for r.
To do so, we perform the following steps: start with
Add 12 to both sides
Divide both sides by 4:
So, we wrote the expression in the form 
, which means that r is the dependent variable and b is the independent variable, as requested.
Answer:
Work done = 150 x 5 = 750 J
Step-by-step explanation:
Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.
The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D
work done (W) is measured in joules (J)
force (F) is measured in newtons (N)
distance (d) is in the same direction as the force and is measured in
metres (m)
W = F x D
w = 150 x 5
W = 750 J
Equation would be: 25.15 - 1.75x
Where, x = number of days.
Substitute for x = 3,
= 25.15 - 1.75(3)
= 25.15 - 5.25
= 19.90
In short, Your Answer would be $19.90
Hope this helps!
Answer:
A) A is an invertible matrix ( TRUE )
B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )
C ) The equation Ax = 0 has only the trivial solution ( TRUE )
D ) The columns of A form a linearly independent set ( TRUE )
Step-by-step explanation:
Assuming a matrix A
![\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%261%5C%5C-1%260%263%5C%5C4%261%265%5Cend%7Barray%7D%5Cright%5D)
det A = 1 [ 0 -3 ] + 2 [12 + 5 ] + 1[-1]
= -3 + 34 -1 = 30 ≠ 0
THEREFORE det A = 30 ≠ 0
Attached is the detailed solution of the given statements above
