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3 years ago

50 points!!

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

Answer:

(x-8) (x+7)

Step-by-step explanation:

x^2 -x-56

We want to factor this problem.

What two numbers multiply to negative 56 and add to -1

-8 *7 = -56

-8+7 = -1

We can use -8 and 7

(x-8) (x+7)

Check:

FOIL

first: x*x =x^2

outer: 7x

inner:-8x

last: -8*7 = -56

Add this together

x^2 +7x-8x -56 = x^2 -x-56

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Answer:

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Given:

average time for all six meets = 11.8 seconds.

Time for 1st meet = 11.7 seconds.

Time for 2nd meet = 11.6 seconds.

Time for 3rd meet = 12 seconds.

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Let the running time for her last meet be 'x'.

So we can say that;

average time for all six meets is equal to sum of Time for 1st meet, Time for 2nd meet, Time for 3rd meet,Time for 4th meet, Time for 5th meet and time for her last meet and then divided by 6.

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$\frac{11.7+11.6+12+12.1+11.9+x}{6}=11.8\\\\\frac{59.3+x}6 =11.8$

Now Multiplying both side by 6 we get;

$\frac{59.3+x}{6}\times 6= 11.8\times6\\\\59.3+x=70.8$

Now Subtracting both side by 59.3 we get;

$59.3+x-59.3=70.8-59.3\\\\x=11.5 \ s$

Hence A track star in Arizona running time in the last meet was 11.5 seconds.

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