Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
Answer:
Step-by-step explanation:
Given:
Required
Rewrite in vertex form
The vertex form of an equation is in form of:
Solving:
Subtract 2 from both sides
Factorize expression on the right hand side by dividing through by the coefficient of x²
Get a perfect square of coefficient of x; then add to both sides
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<em>Rough work</em>
The coefficient of x is
It's square is
Adding inside the bracket of to give:
To balance the equation, the same expression must be added to the other side of the equation;
Equivalent expression is:
------------------------------------------------------------------------------------
The expression becomes
Factorize the expression on the right hand side
Make y the subject of formula
<em>Solved</em>
Answer:
m
=
5 , (
1
,
1
)
−
3 , (
1
,
3
)
3 , (2
,9
)
Step-by-step explanation:
Question
CDs are $15.25 each how much will it cost to buy 3
Answer:
<h2>
45.75 $</h2>
Step-by-step explanation:
1 CD = $ 15.25
multiply the unit price by 3
15.25 * 3 = 45.75 $
Answer:
x =
Step-by-step explanation:
4x-y+2z = 8x+y-4
4x-8x-y+2z = 8x - 8x +y-4
-4x -y +2z= y-4
-4x -y+y +2z = y+y-4
-4x +2z = 2y-4
-4x+2z-2z = 2y-2z-4
-4x = 2y-2z-4
=