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Lemur [1.5K]
3 years ago
8

Enter an equation to find three numbers with the following properties. Let x be the first number. The second number is 6 more th

an the first number. The third number is 7 times the second number. The sum of the third number and the product of the first and second numbers is 0. Solve the equation and give the three numbers.
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

First number: x

Second number: (x + 6)

Third number: (x + 6) * 7

Equation: 0 = (x)(x + 6) + 7(x + 6)

Steps to solve:

0 = x^2 + 6x + 7x + 42

0 = x^2 + 13x + 42

Using the quadratic equation, x could equal -7 or -6. In our equation above, both are applicable.

The three numbers could be -6, 0, and 0. Or they could be -7, -1, and -7.

Hope this helps!! :)

krok68 [10]3 years ago
4 0

Answer:

-7, -1, -7

-6, 0, 0

Step-by-step explanation:

x

x+6

7(x+6)

7(x+6)+ x(x+6) = 0

(x+6)(7+x) = 0

x = -6, -7

-6, 0, 0

-7, -1, -7

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PolarNik [594]

Answer:

Yellow is correct.

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Step-by-step explanation:

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2 years ago
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mote1985 [20]

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

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Get tan θ

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adj = √3²-1²²

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tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

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Rationalize

tan2θ = 8√2/14

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6 0
2 years ago
Last year 64 new houses were built in a neighborhood so far this year 7/8 of them have been sold how many new houses have been s
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Step-by-step explanation:

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Rich is tossing a normal quarter. He tosses the quarter 25 times and it lands on heads 5 times. If Rich tosses the quarter again
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Answer:

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Step-by-step explanation:

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