3. Vocabulary Give an example of two

1 answer:

5 0

Are the inequalities x > 3 and 3 < x equivalent?

They both say that x must be larger than 3. No bickering here. So yep, they're equivalent.

Inequalities usually have a lot of solutions—in fact, infinitely many. Think about the inequality x > 3. This inequality states that "x must be larger than 3." Any number bigger than 3 is a solution to this inequality. That includes 3.001, 3.0001, 4, 5, 2 million, and every other number bigger than 3. We don't have time at the moment to name them all,

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26 rooms on 2 floors = ____ rooms on 4 floors

sesenic [268]

Answer:

There would be 104 rooms on 4 floors in total.

Step-by-step explanation:

If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.

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2 years ago

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Life gym charges a one-time fee to join of $40 and $20 each month. Write an equation that models the total cost, y, for x months

brilliants [131]

Answer:

40+20x=y

Step-by-step explanation:

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3 years ago

For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?

Ad libitum [116K]

Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
$\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}$
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
$-1+\cos{\frac{2\pi}{7}(x-5)}}$
Then differentiating and equating to 0 yields:
$\sin{\frac{2\pi}{7}(x-5)}}=0$
which gives:
$x=5$ or $8.5$

We reject x=5 as it is when it ix the maximum and thus,
$x=8.5\pm7n$ , for $n=0,\pm 1,\pm 2, ...$