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NARA [144]
3 years ago
7

Two thirds of a number is no more than -10

Mathematics
1 answer:
Aliun [14]3 years ago
7 0
Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have

\frac{2}{3}x≤-10

In order to cancel out the \frac{2}{3} on the left and isolate x, we multiply both sides by \frac{3}{2} (since \frac{3}{2}·\frac{2}{3}=1). Thus, we have

x≤-10·\frac{3}{2}=-15

Therefore, x≤-15

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Alborosie

Answer:

The resulting graph is y = 5\cdot \sin x.

Step-by-step explanation:

The resulting function is of the form:

y = A\cdot \sin x + k

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

A - Amplitude, dimensionless.

k - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: A > 0. According to the graph, the function is bounded between 5 (y_{max}) and -5 (y_{min}), and the midpoint value (k) is 0. The amplitude is determined by the following calculation:

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If y_{min} = -5 and y_{max} = 5, then:

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The resulting graph is y = 5\cdot \sin x.

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3 years ago
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Answer:

8 turtles

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\frac{3}{\frac{3}{8} } = 8 turtles

There are 8 turtles in the box.

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