What is the value of x in the equation –2.4x = 8.4?
2 answers:
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The system of linear equations
can be represented in the form of the Matrix as
Where
The matrix A is called the coefficient matrix of the system of linear equations.
Here the given system of linear equation as:
The matrix form of the given system of equation as
The coefficient matrix of A is
Let
s--------> the length side of the cube
we know that
the volume of the cube is equal to
if the length side s is equal to
then
and the volume is equal to
therefore
<u>the answer is the option</u>
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
The correct question as understood from the statement is:
Determine which equations have the same solution set as 2/3 – x + 1/6 = 6x by recognizing properties, rather than solving. Check all that apply.
a) 4 - 6x + 1 = 36x
b) 5/6 - x = 6x
c) 4 - x + 1 = 6x
d) 5/6 + x = 6x
e) 5 = 30x
f) 5 = 42x
Answer:
Options: a, b and f
Step-by-step explanation:
The given equation is:
Adding x to both sides, we get:
Option a) 4 - 6x + 1 = 36x
Moving 6x to the right hand side of the equation and simplifying the answer, would give us 5 = 42x, which is the same as the second last equation in above simplification. Thus this equation has the same roots.
Option b) 5/6 - x = 6x
Moving x to other side will give us the same equation as we got in 3rd last step of the above simplification. Thus this equation has the same roots.
Option c) 4 - x + 1 = 6x
Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.
Option d) 5/6 + x = 6x
Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.
Option e) 5 = 30x
This does not match with the second last step of the above simplification. So, this equation does not have the same root.
Option f) 5 = 42x
This equation matches with the second last step of the above simplification. Thus this equation has the same roots.