Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentation: y= x^2 + 11x + 24. Thanks.
Because x^2 is positive, the graph of this parabola opens up.
We can find the vertex and roots (zeros) as follows, using the quadratic formula:
With a = 1, b = 11 and c = 24,
-11 ± √ [ (11^2-4(1)(24) ] -11 ± √25
x = ------------------------------------ = --------------- = -3 and x = -8
2(1) 2
This tells us that the x-intercepts are at (-3, 0) and (-8, 0). The minimum value is at x = -b / (2a), which here is x = -11 / [2] = -5 1/2 (which is halfway between the zeros).
The vertex (and thus, the minimum) is at (-5 1/2, f(-5 1/2) ).
Answer:
7; not a factor
Step-by-step explanation:
2x³ - x² - 4x² + 2x + 6x - 3 + 7
x²(2x-1) - 2x(2x-1) + 3(2x-1) + 7
7 is the remainder.
Hence, not a factor
If I understand ur question, u r looking for a solution set with no solutions.
- 2m + 5 = - 2m - 5
-2m + 2m = -5 - 5
0 = -10 (incorrect...no solution)
u want the answer to be unequal with no variables. U do not want the answers to be equal, such as 0 = 0 or 10 = 10...because that would indicate infinite solutions. And u do not want the answer to contain a variable, because that would indicate 1 solution.
We know that a 20%=£15
x=the normal price of a coat =100%
20% / £15=100% / x
x=(100%*£15) / 20%=£75
Answer: the normal price of this coat would be £75.