Slope, shmlope. What's the q?
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
Nothing times itself will equal 29, but in decimal form only is 5.38
None of them are irrational, the definition of an irrational number is a number that cannot be simplified, converted to a fraction, or has no pattern to it or is never ending. For example, a pi is an irrational number because it is never ending and has no pattern to it. Another example would be 0.21411446741354... irrational because it has no pattern to it and cannot be converted to a fraction.
Hello,
(f-g)(x)=3x²+1-1+x=3x²+x
(f-g)(2)=3*2²+2=3*4+2=14
