Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wtjfavyw
For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution
$136.00 should be split into 3 groups, for the 3 sisters. If you divide 136 dollars by 3, you would get 40. Jonathan should spend 40 dollars on each sister.
<span>The function f(x) = x^3 + 2x^2 - 4x - 3 is a polynomial function of degree 3 and hence will have three solutions and hence 3 x-intercepts.
The function g(x) has x-intercepts at x = -2, x = -1, x = 1 and x = 3. Hence function g(x) has 4 x-intercepts.
The function h(x) has x-intercepts at points (pi over 2, 0) and (3 pi over 2, 0). Hence function h(x) has 2 x-intercepts.
Therefore, the function with the most x-intercepts is function g(x) with 4 x-intercepts.</span>
