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Eduardwww [97]
3 years ago
13

Determine the value of x in the equation below. (3a3)x=27a9

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer:

x = 9 {a}^{6}

Step-by-step explanation:

=  >  {3a}^{3} x = 27 {a}^{9}

=  >  {a}^{3} x =  \frac{27a^{9} }{3}

=  >  {a}^{3} x = 9a ^{9}

=  > x =  \frac{9 {a}^{9} }{ {a}^{3} }

=  > x = 9a^{9 - 3}

=  > x = 9 {a}^{6}

hence, the answer is x = 9a⁶.

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Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10
dedylja [7]

Answer:

Brent’s club has more possible team combinations because there are more members to choose from

Step-by-step explanation:

Brents club can be created in C12 6 =12!/6!/6!=7*8*9*10*11*12/(2*3*4*5*6)=

=924 variants

Miguel's  club can be created in C10 6=10!/6!/4!=7*8*9*10/(2*3*4)=210 variants

924>210 so Brent’s club has more possible team combinations because there are more members to choose from

4 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
Is x-2 a factor of 4x^5 +5x^4 +1?
nordsb [41]

Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and f(x) = 4x^{5} + 5x^{4} + 1 , then

f(2) = 4(2)^{5} + 5(2)^{4} + 1

     = 4(32) + 5(16) + 1

     = 128 + 80 + 1

     = 209

Since f(2) ≠ 0 then ( x - 2) is not a factor

 

8 0
3 years ago
I NEED HELP THIS IS DUE IN 15 mins PLSSS SOMEBODY HELP ME!!!!!
Lera25 [3.4K]

Answer:

Standard \: form :\:y=  {x}^{2}  - 4x - 5\\Factored\: from:\:y = (x  + 1) (x - 5)

Step-by-step explanation:

y = (x - 2)^{2}  - 9 \\  y=  {x}^{2}   - 4x + 4 - 9 \\   \red{ \boxed{ \bold{y=  {x}^{2}  - 4x - 5}}} \\ is \: in \: standard \: form \\  \\ y = (x - 2)^{2}  - 9  \\ y =  (x - 2)^{2}  -  {3}^{2}  \\ y =  \{(x - 2) + 3\} \{(x - 2) - 3 \} \\ y = \{x - 2 + 3\} \{x - 2- 3 \} \\ \purple{ \boxed{ \bold{y = (x  + 1) (x - 5)}}} \\ is \: in \: factored \: form

8 0
4 years ago
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