Answer:
Step-by-step explanation:
We have the equation:
Where <em>a </em>= -3, <em>b</em> = -6, and <em>c</em> = <em>k.</em>
And we want to determine values of <em>k</em> such that the equation will have real, unequal roots.
In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:
Substitute:
Simplify:
Solve for <em>k: </em>
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So, for all <em>k</em> greater than -3, our quadratic equation will have two real, unequal roots.
Notes:
If <em>k </em>is equal to -3, then we have two equal roots.
And if <em>k</em> is less than -3, then we have two complex roots.
Answer:
f(-15) = -60
Step-by-step explanation:
Plug in -15 for x:
f(x) = 4x; f(-15) = 4(-15)
Multiply. Note that when you multiply one negative and one positive number together, your answer will be negative.
4 * -15 = -60
-60 is your answer.
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Answer: Sorry I cant see the picture
Step-by-step explanation:
Answer:
The Range is the difference between the lowest and highest values.
Explanation:
Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6.
The perimeter of any shape is just what you get when you add up all of the side lengths. We know that one side is 462 meters, and since a square has four equal sides, we can just mulitply 462 × 4 to get our perimeter, 1,848 meters.
