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Pavlova-9 [17]
3 years ago
10

A solution of the equation 2x^2 +3x +2 = 0 Please show how you got the answer! Thanks!

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Using the quadratic formula, plug a=2, b=3, and c=4 into the formula because the equation given can not be factored. 

x= -3(+/-) radical (3^2-4*2*2)/2(2)

therefore, x= (-3+ radical 7 i) / 4
                  x= (-3- radical 7 i )/ 4. 

the answer choice is 1. 
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Answer:

\displaystyle 2\ \frac{1}{4}

Step-by-step explanation:

<u>Fractions</u>

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.  

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

\displaystyle 11+\frac{1}{4}=\frac{45}{4}

This improper fraction will now be divided by 5 to find the average of 5 runs:

\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}

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