Simplify: - 3 2 (4x + 3)
1 answer:
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Answer:
The solution to the system is the pair (9, 6)
Step-by-step explanation:
Hi!
First, let´s write the system of equations:
-y² + 6y + x -9 = 0
6y = x +27
The solutions of the system are the pairs (x, y) that satisfy both equations.
Let´s take the second equation and solve it for x:
6y = x +27
Subtract 27 from both sides of the equation
6y - 27 = x
Now, we can replace x in the first equation and solve it for y:
-y² + 6y + x -9 = 0
-y² + 6y + 6y - 27 -9 = 0
-y² + 12y - 36 = 0
Notice that -y² + 12y - 36 = -(y - 6)², then:
-(y - 6)² = 0
y - 6 = 0
y = 6
(alternatively you can solve the quadratic equation using the quadratic formula).
Now let´s find the value of x:
x = 6y -27
x = 6·6 -27
x = 9
The solution to the system is the pair (9, 6)
Please see the attached figure. The point where the curves intersect is the solution to the system.
1. Cross cancel
2. Multiply numerators
4*x²-16 = 4x²-64
3. Multiply denominators
2x+8*1 = 2x+8
4. Divide
5. Simplify
2(x-4)
Answer is 2(x - 4)
<h2>Answer:The graph of 
is the graph of 
compressed vertically.</h2>
Step-by-step explanation:
Given that and
is always positive because
is always positive.
is always positive because
is always positive.
So,both are always positive.
So,there is no flipping over x-axis.
In ,the height of a point at
is
In ,the height of a point at
is
So,height of any point has less height in than
So,the graph of is the graph of
compressed vertically.