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3 years ago

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

<h2>x ≤ -11, Yes. The solution set include -11.</h2>

Step-by-step explanation:

$x+4\leq\dfrac{1}{2}(x-3)\qquad\text{multiply both sides by 2}\\\\2x+8\leq1(x-3)\\\\2x+8\leq x-3\qquad\text{subtract 8 from both sides}\\\\2x\leq x-11\qquad\text{subtract x from both sides}\\\\\boxed{x\leq-11}$

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RUDIKE [14]

Well, if he walked one and three fourths miles five times, all you have to do is multiply one and three fourths and five to get your answer.

$1 \frac{3}{4}*5 \\ \\ \frac{7}{4}* \frac{5}{1} \\ \\ \frac{7*5}{4*1} \\ \\ \frac{35}{4} =8 \frac{3}{4}$

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3 years ago

Read 2 more answers

Based on a research survey, when 1020 adults were asked about hand hygiene, 44% said that they wash their hands after using pu

aleksley [76]

Considering that the subjects are chosen without replacement, they are not independent, and the probability cannot be found using the binomial distribution.

The binomial distribution and the hypergeometric distribution are quite similar, as:

They find the probability of exactly x successes on n repeated trials.
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The difference is that the binomial distribution is for independent trials, that is, in each trial, the probability of success is the same, while the hypergeometric distribution is for dependent trials.

If the sample is without replacement, the trials are not independent, thus the hypergeometric distribution is used, not the binomial.

A similar problem is given at brainly.com/question/21772486

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2 years ago

A. What would be the cost of the Standard Daily Rate plus Mileage plan?

Jobisdone [24]

Answer:

Part a) $\$190$

Part b) $\$315$

Part c) Standard Daily Rate plus Mileage plan

Step-by-step explanation:

Part a) What would be the cost of the Standard Daily Rate plus Mileage plan?

Let

y ----> the total cost

x ----> the number of kilometers

we have that

For a Luxury car

$y=70+0.30x$

For x=400 km

substitute

$y=70+0.30(400)$

$y=\$190$

Part b) What would be the cost of the Unlimited Mileage plan?

we know that

The Unlimited Mileage plan for a Luxury car is $105 per day (see the table)

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For this trip the better plan is the Standard Daily Rate plus Mileage plan

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4 years ago

In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.

Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle<em> F.</em>

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

$\tan \theta=\frac{opposite}{adjacent}$

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

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1 year ago

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Nostrana [21]

I’m not sure but I think it’s:
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3 years ago