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3 years ago

Help please! Quantitative comparison.

Mathematics

2 answers:

Airida [17]3 years ago

6 0

Answer:

22. b 23. c 24. a 25. c 26. a 27. d 28. a 29. c 30. d 31. b

Step-by-step explanation:

Andru [333]3 years ago

3 0

Answer: The answer for 22 is B.

explanation:✌✌✌

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Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?

lesya [120]

Using the domain, it is found that x = -8 is excluded for the product.

The domain of a function is the <u>set that contains all possible input values</u>.

In a fraction, the <u>denominator cannot be 0</u>.

In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.

For the first fraction, they are:

$3x^2 + 6x = 0$

$3x(x + 2) = 0$

$3x = 0 \rightarrow x = 0$

$x + 2 = 0 \rightarrow x = -2$

Hence, x = -2(not an option) is excluded.

x = 0 can be factored with the numerator of the second fraction, so not excluded.

For the second fraction, the roots of the denominator are:

$x^2 + 11x + 24 = 0$

Which is a quadratic equation with <u>coefficients</u> $a = 1, b = 11, c = 24$ , hence:

$\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25$

$x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8$

$x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3$

x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.

A similar problem is given at brainly.com/question/13136492

5 0

3 years ago

The radius and circumference of several objects were measured.

Over [174]

A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

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