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Salsk061 [2.6K]
3 years ago
13

Factor 7/10 out of 7/10z+21. 7/10z+21=

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

1/100 (1471 z + 2100)

0.01 (1471 z + 2100) the result I got

and the Factorization over the splitting field:

14.71 z + 21

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12x-39<9 and -4x+3<-6
gulaghasi [49]
Remember, you can do anything to an equation as long as you do it to both sides


and when multiply or divide by a negative in inequalities, flip the direction of the sign

12x-39<9
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-4x+3<-6
minus 3 both sides
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3x^2 - 4x = -2<br> Solve
amid [387]

Answer:

x =   \bigg \{\frac{ 2   - \sqrt{2} \: i }{3}, \:  \: \frac{ 2    +  \sqrt{2} \: i }{3} \bigg \}

Step-by-step explanation:

3 {x}^{2}  - 4x =  - 2 \\ 3 {x}^{2}  - 4x + 2 = 0 \\ equating \: it \: with  \\ a {x}^{2}  + bx + c = 0 \\ a = 3 \:  \: b =  - 4 \:  \: c = 2 \\  {b}^{2}  - 4ac \\  =  {( - 4)}^{2}  - 4 \times 3 \times 2 \\  = 16 - 24 \\  =  - 8  \\  \ {b}^{2}  - 4ac < 0  \\  \therefore \: given \: quadratic \: equation \: have \:  \\ imaginary \: solutios. \\  \\ x =  \frac{ - b \pm \sqrt{{b}^{2}  - 4ac } }{2a}  \\ =  \frac{ - ( - 4) \pm \sqrt{ - 8} }{2 \times 3} \\ =  \frac{ 4 \pm 2\sqrt{2} \: i }{2 \times 3}  \\  =  \frac{ 2 \pm \sqrt{2} \: i }{3} \\  \therefore \: x  = \frac{ 2   - \sqrt{2} \: i }{3}  \: or \: x  = \frac{ 2   +  \sqrt{2} \: i }{3} \:  \\  \\ x =   \bigg \{\frac{ 2   - \sqrt{2} \: i }{3}, \:  \: \frac{ 2    +  \sqrt{2} \: i }{3} \bigg \}

7 0
3 years ago
Find the greatest power of 3 that is divisible of 100!
Vitek1552 [10]

Answer:

There is no greatest power of 3 that is divisible of 100.

Step-by-step explanation:

Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.

7 0
3 years ago
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