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3 years ago

A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.

Mathematics

1 answer:

labwork [276]3 years ago

4 0

Answer:

a) see the plots below

b) f(x) is exponential; g(x) is linear (see below for explanation)

c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.

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Which of the following statements is not true? A. If the probability of an event occurring is 0, then it is impossible for tha

FromTheMoon [43]

Answer:

C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.

Step-by-step explanation:

Probability is a value between 0 and 1 (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.

We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."

Statement A.

Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.

Statement B.

$\\ if P(A) = 0\;then\;P(\overline{A}) = 1 - 0 = 1$ . Then, the statement is true.

Statement C.

We already explained the statement C is not true because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.

Statement D.

For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.

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3 years ago

Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

elena-14-01-66 [18.8K]

A bisector is a line that divides either a line or an angle into two proportionate parts or angles. Thus, Anton's bisector would divide the segment into two equal parts, while Maxim's bisector would divide the angle into two equal angles.

The similarities between their construction are:

Intersecting arcs through which the bisector would pass are required.
The arcs are dawn using the same radius of any measure.
The edges of the arc of the given angle, and the ends of the segment are used as centers.

The differences between their construction are:

Anton has to draw two intersecting arcs above and below the segment. While Maxim would draw two intersecting arcs within the lines forming the angles.
Anton's bisector would be perpendicular to the segment, while Maxim's bisector would be at an angle which is half of the initial angle.

Visit: brainly.com/question/17247176

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2 years ago

HELP ME FAST PLZ ❗️.

vfiekz [6]

Answer:

Step-by-step explanation:

You use law of sines, and get: AB/sin(53) = 7/sin(44)

You multiply both sides by sin(53), and get:

AB = 7*sin(53)/sin(44)

That means AB is 8.04776679886, which rounds to 8

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3 years ago

On a coordinate plane, a rectangle is shown with points S (4, negative 4), R (4, negative 10), Q (negative 7, negative 10), and

Wittaler [7]

Answer:

The coordinates of the image of vertex P after reflection is (-7, 4)

Step-by-step explanation:

Given that we are to reflect the point P across the x-axis, we have;

Reflection of a point across the x-axis gives;

When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)

Therefore, given that the point P = (-7, -4), we have;

Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).

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3 years ago

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Express 3950000000 in scientific notation.

Nesterboy [21]

3.95*10^9 move the decimal to the left untill it is in between the last ans 2nd to last number

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3 years ago