How many solutions exist for the system of equations below?
2 answers:
Answer:
0 (None) solutions
Step-by-step explanation:
This Linear System has no Solution. It means that mathematically speaking, whatever value inserted for x, or y this will not result in an equality, i.e. we'll always have a false value. Like this:
FALSE Because then This Linear System does not have solution.
Geometrically, both equations are parallel lines, so they do not have any common point, i.e. solution. Notice they both have the same slope. Check the graph below.
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Cosine is transformed in the form:
The amplitude is a
The period of cosine is:
And the phase shift is always by c, so that means our transformed functon in the form mentioned above looks like:
So our period is
Our phase shift is by units to the right
and our amplitude is 3.
Answer:
The value of x in all the cases is .
Step-by-step explanation:
The given equation is:
a. Add 4 on both the sides. The equation becomes
The operation of addition (or subtraction) done on both the sides of the equation will not alter the value. They will still be equal. However, adding a non - zero term to only one side of the equation will result in the equation becoming unequal.
b. Equivalent Equations are those equations which have the same roots or solutions. Note that, the equations and
have the same solution. Then these equations can be named 'equivalent equations'.
c. Subtraction:
Subtract any number from both the sides of the equation, say, 5.
. The solution is still not altered.
Multiplication:
Multiply through by 2. We get: . The value of x is still the same.
Division:
Divide through out by -2. The solution is unaltered.
Note that operations of Multiplication and Division are to be done by non -zero numbers. Otherwise it would be altered.
Answer:
15 hours
so, 8 x y = 120
Step-by-step explanation:
15