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den301095 [7]
3 years ago
11

Multiply and simplify 10x(7x^2+9x+6)

Mathematics
1 answer:
Drupady [299]3 years ago
3 0
10x (7x² +9x +6 )

multiply
—————

10x (7x²) + 10x (9x) +10x (6)

70x³ + 90x² + 60x

simplification
———————

10x (7x² +9x + 6)

10x(7x² + 9x +6)

7x² + 9x + 6 is a quadratic equation ,
in the form of ax² + bx + c
we know , for any quadratic have real roots only when Discriminant=b² -4ac ≥0

D = b² -4ac =(9)² -4 x 7 x 6

D = 81 -168 = -87 <0

hence, no real roots exist of 7x²+9x +6

hence, we can't factorise ,

so, simplest form of this is ------

10x(7x² +9x + 6)

10x (7x²) +10x(9x)² + 10x(6)²

70x³ +90x² + 60x this is simplest form of given expression .

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3 years ago
Determine whether the sequence is arithmetic if so what’s the common difference -9 -33-57-81
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Answer:

Arithmetic.

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Step-by-step explanation:

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For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.

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Make the ratios equal. 9:25 = 36:?
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The equivalent ratio of 9:25 is 36:100.

Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.  

In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.

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To learn more about ratios, please check: brainly.com/question/17995727

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