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3 years ago

P = a^b + b^a. Given a,b,p are prime numbers. find the value of p

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

4 0

2³ + 3² = 2*2*2+3*3= 8+9=17
a=2,
b=3,
P= 17,
2,3,17 are all prime numbers

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Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

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Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

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Substitute the found x-values into one of the given equations.

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The data reflects the number of hours an employee spends working a checkout line (x), paired with the number of customers served

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The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B

<h3>What is the slope of a line?</h3>

The slope of a line is the ratio of climb to that of run

Slope = change in y/change in x

The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).

The slope of the graph can be written as follows:

Slope = change in the number of customers served/change in the number of hours an employee spends working

Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.

In conclusion, slope of a line is ratio of change in y to change in x.

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