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3 years ago

Question: Tyrone says he eats dinner when the minute hand is on 12. What time do you think it is and why?

1 answer:

8 0

Good morning!

So obviously, since the minute hand is on the number 12 (using a traditional clock), we know that Tyrone eats at the beginning of a new hour (06:00, 15:00). Using the word "dinner" as a clue, we can assume he is eating during the later hours of the day, meaning he could be eating anywhere towards the evening. In this case, using all the information, we can assume Tyrone is eating at either 17:00, 18:00, 19:00 ... 21:00, since those are the most "common" times for eating dinner.

(Common core is weird, man...)
Hope this helps,
-Timmeh

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Answer:

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Step-by-step explanation:

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3 years ago

Which expressions are equivalent to 5 x-15? Select three options.

mojhsa [17]

Answer:

$b) 5 (x-3)\\c) 4 x + 3 y-15- 3 y + x\\e) -20 - 3 x + 5 + 8 x$

Step-by-step explanation:

We are given the following expression in the question:

$5x-15$

$5 (x + 15)\\=5(x) + 5(15)\\=5x + 75$

which is not equivalent to the given expression.

$5 (x-3)\\=5(x)-3(5)\\=5x-15$

which is equivalent to the given expression

$4 x + 3 y-15- 3 y + x\\=4x+x+3y-3y-15\\=5x-15\\=5(x-3)$

which is equivalent to the given expression.

$-7 y-6 x- 8 y + x\\=-7y-8y-6x+x\\=-15y-5x\\=-5(x+3y)$

which is not equivalent to the given expression.

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which is equivalent to the given expression.

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3 years ago

Can you solve this for me

guajiro [1.7K]

$g(h(x))=g(\sqrt{x+7})=\dfrac{2}{\sqrt{x+7}+9}\\\\f(g(h(x)))=f\left(\dfrac{2}{\sqrt{x+7}+9}\right)=7\cdot\left(\dfrac{2}{\sqrt{x+7}+9}\right)+9\\\\f(g(h(x)))=\dfrac{14+9\sqrt{x+7}+81}{\sqrt{x+7}+9}\\\\(f\circ g\circ h)(x)=\dfrac{95+9\sqrt{x+7}}{9+\sqrt{x+7}}$

With some extra effort, the radical can be removed from the denominator. That result is

$(f\circ g\circ h)(x)=\dfrac{9x+14\sqrt{x+7}-792}{x-74}$

The preferred form would be the one with the radical in the denominator, as it correctly shows the domain of the function to be x ≥ -7. The function actually is defined at x=74, which the "rationalized" form does not show.

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3 years ago