Answer:
Answer is given below.
Step-by-step explanation:
let us solve the numerator first
=4x²-14x+6
=2(2x²)+2(-7x)+2(3)
= GCF of the terms of the numerator is 2.
denominator
x³-7x²+12x
x(x²)+x(-7x)+x(12)
GCF of the terms of the denominator is x.
factorise the numerator
4x²-14x+6
4x²-2x-12x + 6 (by splitting the middle term; the numbers should produce the product 4*6 and when the no.s are added they should give -14)
(4x²-2x) + (-12x+6)
2x(2x-1) -6(2x-1)
(2x-6)(2x-1)
factors are
(2x-6), (2x-1)
denominator
this can also be done by splitting the middle term
x³-7x²+12x
x³-3x²-4x²+12x
(x³-3x²) + (-4x²+12x)
x²(x-3) -4x(x-3)
(x²-4x)(x-3)
factors are
(x²-4x), (x-3)
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Step-by-step explanation:
X= 4-3y/y-5
x(y-5) = 4-3y
xy -5x = 4 -3y
xy+3y = 4+5x
y(x+3)= 4+5x
y = (4+5x)/(x+3)
F(x) = x^2 is a parabola with vertex at the origin (0,0).
f(x) = x^2 - 5 is a parabola shifted down 5 units so it's vertex would be at (0, -5)
The correct answer is Letter B
