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vesna_86 [32]
3 years ago
6

Juan Carlos graphs the functions f(x) = 8x - 2 and g(x) = -8x + 2

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

Answer:

x = 0.25

Step-by-step explanation:

Given

f(x) = 8x - 2\\ g(x) = -8x + 2

Required

Determine their point of intersection

To do this, we simply do:

f(x) = g(x)

This gives:

8x - 2 = -8x + 2

Collect Like Terms

8x + 8x = 2 + 2

16x = 4

Solve for x

x = 4/16

x = 0.25

Hence:

Their point of intersection is at x = 0.25

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4 0
3 years ago
Why is it better to use the metric system, rather than the English system, in scientific measurement?
Dahasolnce [82]

Answer:

Because the metric system is acknowledged by all countries except for the US, therefore, to put it only in a format understood by Americans would make it harder for the larger population of the scientific community to understand. If it's in the metric system, it can easily be understood for peer review and or involvement

3 0
3 years ago
The center of a circle is located at (2, 3) and has a radius of 6 units. Which equation represents this circle?
Helen [10]

By using the general equation for a circle, we will see that the correct option is:

(x - 2)^2 + (y - 3)^2 = 36

<h3>How to find the equation for a circle?</h3>

The general equation for a circle centered at the point (a, b) of radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

In this case, the center is (2, 3) and the radius is R = 6 units, replacing that in the above equation we get:

(x - 2)^2 + (y - 3)^2 = 6^2

(x - 2)^2 + (y - 3)^2 = 36

So the correct option is B.

If you want to learn more about circles, you can read:

brainly.com/question/1559324

3 0
2 years ago
Read 2 more answers
Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a cr
kaheart [24]

Answer:

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution from 0 to 4.8 seconds.

This means that a = 0, b = 4.8

61% of the time a person will wait at least how long before the wave crashes in?

This is the 100 - 61 = 39% percentile, which is x for which P(X \leq x) = 0.39. So

P(X \leq x) = \frac{x - a}{b-a}

0.39 = \frac{x - 0}{4.8 - 0}

x = 4.8*0.39

x = 1.872

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

5 0
3 years ago
Three friends won $600 for winning a relay race. June ran 1/3 of the relay. Al ran 3/8 of the relay. Marcus ran 1/24 of the rela
yanalaym [24]
$200 because 1/3 of 600 is 200
5 0
3 years ago
Read 2 more answers
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