Answer:
x=10
Step-by-step explanation:
- let the first number be x
second number be x+1
third number be x+2.
2. 3(x+x+1)=5(x+2)+3
= 3x+3x+3=5x+10+3
=6x+3=5x+13
=6x-5x=13-3
=x=10
Problem 1
<h3>Answer: -7 + 8i</h3>
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Work Shown:
![-\sqrt{49}+\sqrt{-64}\\\\-\sqrt{7^2}+\sqrt{-1*8^2}\\\\-\sqrt{7^2}+\sqrt{-1}*\sqrt{8^2}\\\\-7+i*8\\\\-7+8i\\\\](https://tex.z-dn.net/?f=-%5Csqrt%7B49%7D%2B%5Csqrt%7B-64%7D%5C%5C%5C%5C-%5Csqrt%7B7%5E2%7D%2B%5Csqrt%7B-1%2A8%5E2%7D%5C%5C%5C%5C-%5Csqrt%7B7%5E2%7D%2B%5Csqrt%7B-1%7D%2A%5Csqrt%7B8%5E2%7D%5C%5C%5C%5C-7%2Bi%2A8%5C%5C%5C%5C-7%2B8i%5C%5C%5C%5C)
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Problem 2
<h3>Answer: -2sqrt(6) + 10i</h3>
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Work Shown:
![\sqrt{-100}-\sqrt{24}\\\\\sqrt{-1*10^2}-\sqrt{4*6}\\\\\sqrt{-1*10^2}-\sqrt{2^2*6}\\\\\sqrt{-1}*\sqrt{10^2}-\sqrt{2^2}*\sqrt{6}\\\\i*10-2*\sqrt{6}\\\\-2\sqrt{6}+10i\\\\](https://tex.z-dn.net/?f=%5Csqrt%7B-100%7D-%5Csqrt%7B24%7D%5C%5C%5C%5C%5Csqrt%7B-1%2A10%5E2%7D-%5Csqrt%7B4%2A6%7D%5C%5C%5C%5C%5Csqrt%7B-1%2A10%5E2%7D-%5Csqrt%7B2%5E2%2A6%7D%5C%5C%5C%5C%5Csqrt%7B-1%7D%2A%5Csqrt%7B10%5E2%7D-%5Csqrt%7B2%5E2%7D%2A%5Csqrt%7B6%7D%5C%5C%5C%5Ci%2A10-2%2A%5Csqrt%7B6%7D%5C%5C%5C%5C-2%5Csqrt%7B6%7D%2B10i%5C%5C%5C%5C)
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Problem 3
<h3>Answer: 4 - 9i</h3>
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Work Shown:
![-\sqrt{-81}+\sqrt{16}\\\\-\sqrt{-1*9^2}+\sqrt{4^2}\\\\-\sqrt{-1}*\sqrt{9^2}+\sqrt{4^2}\\\\-i*9+4\\\\4-9i\\\\](https://tex.z-dn.net/?f=-%5Csqrt%7B-81%7D%2B%5Csqrt%7B16%7D%5C%5C%5C%5C-%5Csqrt%7B-1%2A9%5E2%7D%2B%5Csqrt%7B4%5E2%7D%5C%5C%5C%5C-%5Csqrt%7B-1%7D%2A%5Csqrt%7B9%5E2%7D%2B%5Csqrt%7B4%5E2%7D%5C%5C%5C%5C-i%2A9%2B4%5C%5C%5C%5C4-9i%5C%5C%5C%5C)
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Problem 4
<h3>Answer: 8i</h3>
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Work Shown:
![\sqrt{-1}*2\sqrt{16}\\\\\sqrt{-1}*2\sqrt{4^2}\\\\i*2*4\\\\8i\\\\](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%2A2%5Csqrt%7B16%7D%5C%5C%5C%5C%5Csqrt%7B-1%7D%2A2%5Csqrt%7B4%5E2%7D%5C%5C%5C%5Ci%2A2%2A4%5C%5C%5C%5C8i%5C%5C%5C%5C)
We could express this as 0+8i, but I think 8i looks much cleaner.
Answer:
What are the coordinates of point F? 7,-5
Which point is located (-2,-6)? K
Which point is located in quadrant IV? J or F
What are the coordinates of point M? (-3,1)
Step-by-step explanation:
Answer:
a) 2.5
b) 12
c) 40
Step-by-step explanation:
a) The ratio would be the relation between fixed and part time employees: for this would be 25/10= 2.5 Fixed per part time employee
b) Previous we got the ratio. So we have to divvide the 30 fixed by 2.5 to meet units
c) b) Previous we got the ratio. So we have to multiply the 16 for 2.5 to meet units
<span>P(X=12) = 24C12 * (0.5)^12 * (0.5)^12
= 0.161 to 3 d.p.
not entirely sure, but i think it's that </span>