Correct Answer: - 550
We can use the distributive property to distribute the summation to the variables and then get the constant out to apply the summation formulas as shown below in the attached image.
The equation editor does not have a summation symbol, so I have attached the solution using the image.
The correct answer to this question is -550. First option is the correct one.
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
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<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
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x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
If you multiply 8.5 by 50 cents your answer will be 4.25
Mean is the average. So you add up all the numbers and divide by how many numbers there were.
Mode is the number that occurred the most.
Median is the number that is in the middle when you list the numbers from least to greatest or greatest to least.
Range is calculated when you subtract the biggest number in the group by the smallest number.
Answer:
22°
Step-by-step explanation:
Triangle KJL ≅ Triangle MJL (RHS)
[JL = JL(common), KL = LM(given), angle KLJ = angle MLJ(given)]
we come up to the conclusion that 4x + 6 = 3x + 10
x = 4
∴angle KJL = 4(4) + 6 = 22°
