Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
Answer:B
Step-by-step explanation:
Joe nuts yah feel me lol because
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Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
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If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
Which conclusion can be drawn based on the true statements shown?
We have been given two true statements.
Statement 1: "If a line segment is a diameter, then it is the longest chord in a circle."
Statement 2: "Line segment AB is a diameter."
now we have to identify which of the following option, best describes the conclusion.
We see that Statement 1 contains two statements in "If P then Q form".
While Statement 2 is "P" form
Law of syllogism says "if a = b and b = c then, a = c." But we don't see such structure in given statements.
Hence answer will be law of detachment which says "If p then q is true, P is true then q must be true"
which matches with choice 2 is correct.
Hence final answer will be "Based on the law of detachment, line segment AB is the longest chord in a circle."