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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The answer is -1. You multiply the 1/4 with the 5x and equal it to 3 multiplied by 5 and have gotten 15x, then multiply the 3 with the 2, as apart of the parentheses. Lasty you just leave the -9 on the side and solve the equation.
Answer:
See explanation
Step-by-step explanation:
1. The sample of this study is 250 households in a cedar bluff. Population sample means the total number of units or participants are participating in a study to determine the result.
2. The population of interest refers to the objects and measurement through which a population sample can be measured to make a bold decision. Here, 4 pounds of garbage per day is a measurement to make a valuable decision to validate the study.
Answer:
68°F is 20°C
Step-by-step explanation:
C = (5/9)(F - 32)
C = (5/9)(68 - 32)
C = (5/9)(36)
C = 5 * 4
C = 20
Answer: 68°F is 20°C
Step-by-step explanation:
Given the average of 8 numbers = 56.
Then the Total sum of 8 numbers = 56 * 8
= 448.
Sum of 1st three numbers = 49 + 57 + 72
= 178.
So, the total = 448 - 178
= 270.
Average of the other 5 numbers = 270/5
= 54.
Verification:
178 + 270 = 448/8
= 56.
