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Rashid [163]
3 years ago
5

What is the factorization of the trinomial below 12x^2-x-35

Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer:

(4x-7)(3x+5)

Step-by-step explanation:

1) Looking attentively to 12x^{2}-x-35. We need two find two numbers whose product is (12)(-35)=-420 and their sum is -1.

2) These numbers are -21 and 20 their product is -420 and their sum is -1.  Prime factorization might be a good start to find those numbers. Moreover, you can make a list of numbers whose product is -420.

3) Rewrite the trinomial, with those two terms as new <em>b</em> terms.

12x^{2}-x-35=12x^{2}-21x+20x-35

4) Finally, factor them by grouping them:

(12x^{2}-21x)+(20x-35)\Rightarrow 3x(4x-7)+5(4x-7)\Rightarrow (4x-7)(3x+5)

Aleks04 [339]3 years ago
4 0
12x^2-x-35
12x^2-21x+20x-35
3x(4x-7)+5(4x-7)
(4x-7)(3x+5)
Either,
x=7/4
Or,
x=-5/3
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Discuss some ways that the concepts of covariance and correlation are similar or different.
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Answer:

Step-by-step explanation:

<em>Key Differences Between Covariance and Correlation </em>

<em>The following points are noteworthy so far as the difference between covariance and correlation is concerned: </em>

<em> </em>

<em>1. A measure used to indicate the extent to which two random variables change in tandem is known as covariance. A measure used to represent how strongly two random variables are related known as correlation. </em>

<em>2. Covariance is nothing but a measure of correlation. On the contrary, correlation refers to the scaled form of covariance. </em>

<em>3. The value of correlation takes place between -1 and +1. Conversely, the value of covariance lies between -∞ and +∞. </em>

<em>4. Covariance is affected by the change in scale, i.e. if all the value of one variable is multiplied by a constant and all the value of another variable are multiplied, by a similar or different constant, then the covariance is changed. As against this, correlation is not influenced by the change in scale. </em>

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You can find more here:  http://keydifferences.com/difference-between-covariance-and-correlation.html#ixzz4qg5YbiGj

4 0
3 years ago
Someone please solve this. no where is an answer to this
serg [7]

Answer:

a=-8/5

Step-by-step explanation:

  (-1/2a-5)=3a+1

To find the opposite of  1/2 a−5, find the opposite of each term.

-1/2a-(-5)= -3a+1

The opposite of −5 is 5.

-1/2a+5=-3a+1

add 3a to both sides

-1/2a+5+3a=1

Combine-1/2and 3a to get 5/2a

5/2a+5=1

Subtract 5 from both side

5/2a=1-5

Subtract 5 from 1 to get −4.

5/2a=-4

Multiply both sides by 2/5 =0.4, the reciprocal of  5/2=2.5.

a=-4x(2/5)

express -4x(2/5)=1.6 as single  fraction.

a= -4x2/5

Multiply −4 and 2 to get −8.

a=-8/5

Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.

a=-8/5

8 0
3 years ago
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