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SVETLANKA909090 [29]
3 years ago
8

What equation results from completing the square and then factoring x^2+4x=7

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0

Answer: x=−2+√11 or x=−2−√11

Step-by-step explanation:

x2+4x−7=7−7

x2+4x−7=0

For this equation: a=1, b=4, c=-7

1x2+4x+−7=0

Step 2: Use quadratic formula with a=1, b=4, c=-7.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−7)

2(1)

x=

−4±√44

2

x=−2+√11 or x=−2−√11

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worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is \frac5{16}

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}

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Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}

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Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

=\frac58\times \frac36

=\frac5{16}

4 0
3 years ago
How do you evaluate the expression to this problem 24 divided by (-4)+(-2) times (-5)
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Step-by-step explanation:

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Step-by-step explanation:

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