I believe the answer for this is D
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵
is a root of the equation
- Substitute x by
in the equation above to find k
∵ 2(
)² + 11(
) + k = 0
∴ 2(
) +
+ k = 0
∴
+
+ k = 0
- Add the like terms
∵
+
=
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
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Answer:
31
Step-by-step explanation:
The median of this data set is 42.
The 1st quadrant is the mean of 24 and 36: 30.
The 3rd quadrant is the mean of 57 and 65, or 61.
Thus, the IQR is the difference between 61 and 30: It is 31.
1.500 since 45 rounds to 50