( x -3 )² = y - 4
y = ( x - 3 )² + 4
One solution is located at the vertex: ( 3, 4 ).
y = - x + b
4 = - 3 + b
b = 7
( x - 3 )² = - x + 7 - 4
x² - 6 x + 9 = - x + 3
x² - 5 x + 6 = 0
x² - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2, x 2 = 3
y 1 = 5, y 2 = 4.
In order for this solution to be reasonable, the 2nd equation must be:
y = - x + 7
The scale factor used is .5 because 7, 8, and 10 multiplied by .5 will equal 3.5, 4, and 5.
Answer:
2/√10 - 8√2
Step-by-step explanation:
Multiply the numerator and denominator by a root to remove the radical from the numerator.
Answer:
See attachment
Step-by-step explanation:
The given inequality is

We multiply both sides by -2 and reverse the inequality sign to get:


We draw an open circle at 32 and draw an arrow to the right as shown in attachment.
Marks of Bobbie = x
Then, marks of Georgia
= 3 times marks of Bobbie
= 3 times m
= 3 × m
= 3m