Two thirds of a number is no more than -10

1 answer:

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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This is the graph of y = sin(x). Does anyone know the second part?

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Answer:

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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: