Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

Answer: Option C is the correct graph.

Explanation:

An odd function satisfies the condition,

This indicates that for any point (x,y) on the graph, the point (-x,-y) will also be present.

Why Option C is correct:

Option C includes the point (1,2), which implies the point (-1,-2) must be present.

Indeed, (-1,-2) is among the points.

Other pairs like (2,3) with (-2,-3), (3,-1) with (-3,1), and (4,0) with (-4,0) are also found. Hence, the function represented is odd.

Why other options are incorrect:

In Option A, (1,3) is given, so at x = -1, y should be -3, but instead y = 1, so it’s not odd.

Option B has (1,0), so at x = -1, y should be 0, but y = -3, so it is not odd.

Option D features (1,-1), meaning at x = -1 y should be 1; however, y = -1, so it's not odd.

We can apply the formula to tackle this problem, utilizing the following variables: R represents the rate, W signifies the workers/things, T stands for time, and J indicates the jobs/things. In the scenario where 10 printers print 10 pages within 10 seconds, we identify W as 10 printers, T as 10 seconds, and J as 10 pages. Thus, we can deduce how many seconds it will take for 50 printers to produce 50 pages. Based on the previous findings, we can determine T. Ultimately, it will still take 10 seconds for 50 printers to print 50 pages.

Answer:

0.64 ± 0.1117 or

Step-by-step explanation:

Sample size (n) = 50

Z-score for a 90% confidence level (z) = 1.645

Proportion of students who read at least one book (p):

The confidence interval is calculated as:

By applying the provided information:

The confidence interval results in 0.64 ± 0.1117

Answer:

To identify the critical point, we set the derivative equal to zero, resulting in:

Calculating the second derivative yields:

This indicates that t = 3.4375 marks the minimum value for the function. Substituting this back into the original function gives us:

Thus, the minimum annual income is found at t = 3.43 (between the years 2008 and 2009), with a value of 25.094

Step-by-step explanation:

In this scenario, we have the function:

Where P represents the annual net income from 2007-2011, and

t is the number of years since early 2005

To discover the lowest income, we utilize the derivative given by:

Setting this derivative to zero allows us to find the critical point, leading to:

Calculating the second derivative reveals:

Therefore, we conclude that t = 3.4375 is the minimum value, substituting into the original function results in:

Thus, the minimum annual income occurs at t = 3.43 (between 2008 and 2009) with the value being 25.094

Response:

Step-by-step explanation:

1. The line includes the points (34,12) and (32,48). Then, apply the slope formula, which is:

2. By substituting values into the formula, you will get: