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horrorfan [7]
3 years ago
15

Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to

find peter's age
Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y)  = 5 + x  equation 1

xy = 84  equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x  equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

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3 years ago
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The set of the ordered pairs is a {(1, 6), (2, 12), (3, 18), (4, 24)}.

According to the statement

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A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

From the given information:

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Multiplying by 2, 3, and 4, we find the set of ordered pairs to be ...

{(1, 6), (2, 12), (3, 18), (4, 24)}

So, The set of the ordered pairs is a {(1, 6), (2, 12), (3, 18), (4, 24)}.

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2 years ago
What is slope - intercept form and what do the variables represent?
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Definition and Equation

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Hope it helped u if yes mark me BRAINLIEST!

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The expression x³ - x when factored out is x(x -1)(x + 1)

<h3>How to determine the factored expression?</h3>

From the question, we have the following expression that can be used in our computation:

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Express the expression properly

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