Answer:
No
Step-by-step explanation:
5(3+2) = 5(5) = 25
5.3 + 5.2 = 10.5
25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2
C.
A doesn't work because x + x + x = 3x, not x^3.
B doesn't work because 14x + 10 - 2x has like terms, 14x and -2x can be combined, bit when you do so you get 14x - 2x, or 12x + 10. (So not 16x + 10)
D doesn't work because 12x^2 + 5x + 10 doesn't simplify; it can only be factored, and you cannot combine 12x^2 and 5x because their variables have different powers.
C, however, works fine. All they did is factor out a 3; if you distribute that 3 again, you get 12x + 16x back, so the two are equal.
You would take the number of pounds you want to buy (3.5) and multiply it by how much it costs per pound ($3.48).
It will look like this
(3.5)(3.48)
Answer: h(x) = (2x - 14)^2 - 19
This will take the vertex from (0,-16), the original equation, to (7,-19), the new equation. This demonstrates the x-value increasing by 7, moving right on the coordinate plane, as well as the y-value decreasing by -3, going down on the coordinate plane.