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3 years ago

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?

Mathematics

1 answer:

Reika [66]3 years ago

6 0

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

$f(x)=-\frac{11}{3}x+ \frac{11}{3}$

$g(x)=x^{3}+2x^{2}-x-2$

To solve the system of equations equate f(x) and g(x)

$f(x)=g(x)$

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

$x=1$

There is only one point of intersection both graphs

therefore

The total number of solutions is one

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Employees who have retired from a company are placed in different benefit categories. The bar graph shows the percentages of the

Alika [10]

Using the given bar graph, it is found that the statement that is supported by the data in the bar graph is given by:

The number of employees in Category I is three times the number of employees in Category II.

<h3>What does the bar graph state?</h3>

Research the problem on the internet, it is found that:

45% of the employees are of Category I.

15% are of Category II.

30% are of Category III.

10% are of Category IV.

Hence the correct option is given by:

The number of employees in Category I is three times the number of employees in Category II, as 45% = 3 x 15%.

More can be learned about bar graphs at brainly.com/question/24481455

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2 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is

Volgvan

Answer:

Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting.

It is believed that the machine is under filling the bags. A 21 bag sample had a mean of 429 grams with a variance of 289.

Let $\mu$ = mean weight bag filling capacity of machine.

SO, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean = 429 grams

s = sample standard deviation = $\sqrt{289}$ = 17 grams

n = sample of bags = 21

So, test statistics = $\frac{429-430}{\frac{17}{\sqrt{21} } }$ ~ $t_2_0$

= -0.269

Now at 0.01 significance level, the t table gives critical value of -2.528 at 20 degree of freedom for left-tailed test. Since our test statistics is higher than the critical value of t as -0.269 > -2.528, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the machine is not under filling the bags.

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3 years ago

Pls help with my geometry!(question 3)

diamong [38]

It’s either 30° or 45° bc of the quality I can’t really see, the trick is look at the corner and see if it’s a right angle, and every right angle is 90° if the line is straight across, it’s 45° if it’s uneven, it’s 30°

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3 years ago

You are serving bratwurst and hamburgers at a picnic. You want at least 3 brats or hamburgers for each of your 50 guests. Brats

Greeley [361]

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3 years ago

Estimate the area of the parallelogram.

lisov135 [29]

The answer to this is C. 72

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3 years ago

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