If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 –
x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 +
14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 –
9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 +
47x^2 - 62x +15 </span></span>
<span>12x^3 –
47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span> </span>
16 pounds because 7258 grams goes into 16.001
Answer:
x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)
Step-by-step explanation:
Solve for x:
x^3 = -125
Taking cube roots gives 5 (-1)^(1/3) times the third roots of unity:
Answer: x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)
Looking at how the image shrinked from the original, you can assume that the scale would be a fraction. Since they remained negative, then the fraction wouldn't contain a negative. Therefore the answer would be C.