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) ).
<u>Answer:</u>
Justine is correct, because the point (0,0) does not line up with the straight line that contains the other points.
<u>Step-by-step explanation:</u>
From points (-3,-8), to (-1,-4) the points make a straight line because the x coordinates increase by 1 while the y coordinates increase by 2. Up until the last y coordinate. While the x coordinate follows its pattern, the y coordinate increases by 4 when it's supposed to increase by 2.
<u>Note:</u>
Good luck with your quiz, hope I helped!
Answer:
<h2>5.2 g/cm³</h2>
Step-by-step explanation:
The density of a substance can be found by using the formula
From the question we have
We have the final answer as
<h3>5.2 g/cm³</h3>
Hope this helps you
