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scZoUnD [109]
3 years ago
10

Which of the following are solutions to the equation below?

Mathematics
2 answers:
stepladder [879]3 years ago
7 0

Answer:

A. 6

E. -4

Step-by-step explanation:

x² - 2x - 24 = 0

x            - 6

x              4

(x - 6)(x + 4) = 0

Set each parenthesis equal to 0:

(x - 6) = 0

Isolate the variable, x. Add 6 to both sides;

x - 6 (+6) = 0 (+6)

x = 0 + 6

x = 6

(x + 4) = 0

Isolate the variable, x. Subtract 4 from both sides:

x + 4 (-4) = 0 (-4)

x = 0 - 4

x = -4

x = -4, 6 are your solutions, or A. &  E.

~

kiruha [24]3 years ago
5 0

Answer:

\boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4}

Step-by-step explanation:

=  >  {x}^{2}  - 2x - 24 = 0 \\  \\  =  >  {x}^{2}  - (6 - 4)x - 24 = 0 \\  \\  =  >  {x}^{2}  - 6x + 4x - 24 = 0 \\  \\  =  > x(x - 6) + 4(x - 6) = 0 \\  \\  =  > (x - 6)(x + 4) = 0 \\  \\  =  > x - 6 = 0 \:  \:  \:  \:  \:  \:  \:  \: and \:  \:  \:  \:  \:  \:  \:  \: x + 4 = 0 \\  \\  =  > x = 6 \:  \:  \:  \:  \:  \:  \:  \: and \:  \:  \:  \:  \:  \:  \:  \: x =  - 4

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The regression equation which correctly models the data in this table is y = 1.49x - 107.5,

<h3>How to determine the regression equation?</h3>

From the table of data values, we have the following parameters:

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Mathematically, the regression equation is represented by the following slope equation:

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B = 1.49.

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Read more about regression equation here: brainly.com/question/28037520

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