The rule to remember for this problem is: i^2 = -1
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i
Answer:
<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
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<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
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Answer:
A = B + 15
Step-by-step explanation:
Let Diane sold B books in one hour,
Additional earning by selling 1 book = 1$
Additional earning by selling B books = Number of books sold × Additional earning by selling one book
= B × ($1.00)
= $B
Fixed earning of Diane in one hour of part time = $15
Total earnings = B + 15
A = B + 15
Table to find the input-output values for the graph,
A 15 16 17 18
B 0 1 2 3
Now we can plot the points on the graph.
A) The coordinates of R is (-8,9)
B) The length of RS to the nearest tenth of a unit is 17.9