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Vitek1552 [10]
3 years ago
5

Simplify the expression: (sinx-1)(tanx+secx)

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

sinx-1 evaluates to s-1

<span>tanx+secx evaluates to t+sHere, you are trying to multiply two binomials together. To work this problem, we'll use the "F.O.I.L." method. First, we'll multiply the two First terms, the s and t together. Second, we'll multiply the two Outer terms, the s and s together. Third, we'll multiply the two Inner terms, the -1 and t together. Lastly, we'll multiply the two Last terms, the -1 and s together. The correct answer is st + s^2 - t - sThank you for posting your question. I hope that this answer helped you. Let me know if you need more help. 
</span>
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What graph best represents the solution to the equality y - 2x &gt; -8
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Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)

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The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st
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Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

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110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

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