Round 97,079 to the nearest ten thousand
1 answer:
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Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8 = (2
)³ ⇒ a = 2
27 = (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2
× 3y²) + (3y²)²)
= (4 + 6
y² + 9
)
Hence the factored form of the expression is C
Let's call n the number of days Marika's been training for the race, and the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so
On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:
It would be easier to write this continued addition as multiplication, in which case those same equations would look like
Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that . In general, we can say that
Which is expressed by option B.
(Bonus: What piece of information from this question did we not need to use here?)