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stiks02 [169]
3 years ago
8

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring:

Mathematics
2 answers:
Charra [1.4K]3 years ago
7 0

Answer:

Part A - Option B - b^2-4ac

Part B - b^2-4ac=25

Step-by-step explanation:

Part A : Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

The formula which tells the quadratic equation can be solve by factoring is called a discriminant.

Discriminant of the quadratic equation is D=b^2-4ac

So, Option B is correct.

Part B : Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:  

2x^2 + 7x + 3 = 0

The solution of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm \sqrt{D}}{2a}

On comparing with 2x^2 + 7x + 3 = 0

a=2 ,b=7 ,c=3

D=b^2-4ac

D=7^{2}-4(2)(3)}

D=49-24

D=25>0

So, there exist distinct real roots.

Substitute in the formula,

x=\frac{-7\pm\sqrt{25}}{4}

x=\frac{-7\pm 5}{4}

x=\frac{-7+5}{4},\frac{-7-5}{4}

x=\frac{-2}{4},\frac{-12}{4}

x=-\frac{1}{2},-3

andre [41]3 years ago
4 0
The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots. 
In the equation <span>2x^2 + 7x + 3, 
we use the quadratic formula 
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

1) Previous concepts

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2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

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And we want to find this probability:

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If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

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Answer:

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Step-by-step explanation:

the domain is basically all the x-values that are applicable to the graph.

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Step-by-step explanation:

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