How to graph y=-(x-3)^2-10 on a coordinate graph

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

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X + ky = 1

Marina CMI [18]

X + k y = 1
k x + y = 1 / * ( - k )
----------------
x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.

3 0

2 years ago

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Alja [10]

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$ . This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation: $xy = 96$ , which can be defined as $y=\frac{96}{x}$