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Neko [114]
3 years ago
12

How to answer 100x^2+60x+9

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Rewrite

100

x

2

100

x

2

as

(

10

x

)

2

(

10

x

)

2

.

(

10

x

)

2

+

60

x

+

9

(

10

x

)

2

+

60

x

+

9

Rewrite

9

9

as

3

2

3

2

.

(

10

x

)

2

+

60

x

+

3

2

(

10

x

)

2

+

60

x

+

3

2

Check the middle term by multiplying

2

a

b

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

10

x

)

⋅

3

2

a

b

=

2

⋅

(

10

x

)

⋅

3

Simplify.

2

a

b

=

60

x

2

a

b

=

60

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

10

x

a

=

10

x

and

b

=

3

b

=

3

.

(

10

x

+

3

)

2

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What is the prime factorization of 100.
vitfil [10]
So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers. It is possible to find the exact number of factors of a number 100 with the help of prime factorisation. The prime factor of the 100 is 22 x 52.
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3 years ago
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Three times a number, subtracted from two equals twice the number, added to 27.find the number
timofeeve [1]

Answer:

-5

Step-by-step explanation:

Let the number be n

Three times the number: 3n

Subtracted from 2: 2-3n

Twice the number: 2n

Added to 27: 27+2n

2-3n = 27+2n

-25 = 5n

n = -5

6 0
4 years ago
Find the least common denominator for these two rational expressions 4/x -4/2x^2
Whitepunk [10]
Remark
To find any common denominator, write down all the prime factors and pick out what you need to make an LCD.

Method
x has one x 
2x^2 = 2 * x * x

Your LCM is
one 2
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8 0
4 years ago
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Can someone help me and explain step by step
Shkiper50 [21]

Answer:  5) r = 5, 8th term = -78,125

               6) r = 5, 8th term = -312,500

               7) r = 5, {1, 5, 25, 125, 625}

               8) r = 5, {-4, -20, -100, -500, -2500}

<u>Step-by-step explanation:</u>

The explicit formula of a geometric sequence is: a_n=a_1\cdot r^{n-1}, where;

  • n is the number of the term
  • a₁ is the first term
  • r is the common ratio

5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500

7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\

8 0
3 years ago
If the area of the vegetable garden is 170 square feet, which equation could be used to find the length of the tomato patch?
lara [203]

Answer:

b is the answer because you divide it by 10

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3 years ago
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