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2 years ago

Which is a possible turning point for the continuous

Mathematics

2 answers:

masha68 [24]2 years ago

7 0

Answer:

Step-by-step explanation:

As x consistently increases 2 jumps at a time, y first decreases (from 0 to -2) and then increases from -2 to -1, and then from -1 to 0. Clearly there must be a minimum (and turning point) between x = 0 and x = 2 where, as x increases, y first decreases and then increases.

(0, -2) is not necesssarily the minimum of this function on x, but is in itself the turning point, or is closest to the actual turning point

Ghella [55]2 years ago

4 0

turning point of namely U-turn or vertex point, Check the picture below.

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If f(x) = 2x2 - x - 6 and g(x) = x2 - 4, find f(x) ÷ g(x).

Phantasy [73]

$f(x)=2x^2-x-6,\ g(x)=x^2-4\\\\f(x)\div g(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}=\dfrac{2x^2-4x+3x-6}{x^2-2^2}\\\\=\dfrac{2x(x-2)+3(x-2)}{(x-2)(x+2)}=\dfrac{(x-2)(2x+3)}{(x-2)(x+2)}=\dfrac{2x+3}{x+2}\ for\ x\neq0\\\\Answer:\ f(x)\div g(x)=\dfrac{2x+3}{x+2}$

$Used:\ a^2-b^2=(a-b)(a+b)$

4 0

3 years ago

The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A

xz_007 [3.2K]

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

$H_0: \mu = 28$

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

$H_1: \mu > 28$ .

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

In this problem, the values of the parameters are given by:

$\overline{x} = 32, \mu = 28, \sigma = 5, n = 10$

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}$

$z = 2.53$

<h3>What is the decision?</h3>

Considering that we have a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a standard <em>significance level of 0.05</em>, the critical value is of $z^\ast = 1.645$ .

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check brainly.com/question/26454209

4 0

2 years ago

What is the median of the data set?<br><br> 35 <br> 18.5 <br> 22 <br> 28.5

jarptica [38.1K]

The median of the data set it 40.5

3 0

3 years ago

Read 2 more answers

Round your answer to the nearest hundredth.

andre [41]

Answer:

$in \: right \: angle \: triangl \: a \: b \: c \\ tan35 = \frac{bc}{ac } = \frac{bc}{2} \\ bc = 2 \times 0.7002 \\ bc = 1.4004$

6 0

3 years ago

a room has an area of 121 ft2 but carpeting is only sold in m2.how much carpeting is needed to carpet the room

umka2103 [35]

Area of the room that needs to be carpeted = 121 ft^2
Since the carpet is sold only in square meters, so the area of the room needs to be converted to square meters from square feet. Most of the information's required to solve this question is already given.
We know
1 ft^2 = 0.09290304 m^2
So
121 ft^2 = 0.09290304 * 121 m^2
= 11.24 m^2
So 11.24 square meters of carpet is required.

4 0

3 years ago