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Helen [10]
3 years ago
10

simplify the rational expression. state any restrictions on the variable. ((n^(4)-11n^(2)+30))/(n^(2)-7n^(2)+10)

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0
Hi, (n2 -6 ) (n2 - 5) - 2 (3n2 - 5)
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6(m-1) = 3(3m + 2) Show all work
nordsb [41]

Answer:

\boxed{\sf m = -4}

Step-by-step explanation:

\sf Solve \:  for  \: m: \\  \sf \implies 6 (m - 1) = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms \:  of \:  the \:  left  \: hand \:  side: \\  \sf \implies 6 m - 6 = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms  \: of  \: the  \: right \:  hand \:  side: \\  \sf \implies 6 m - 6 = 9 m + 6 \\  \\  \sf Subtract \:  9 m  \: from  \: both  \: sides: \\  \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\  \\  \sf 6 m - 9 m = -3 m: \\  \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\  \\  \sf 9 m - 9 m = 0: \\  \sf \implies -3 m - 6 = 6 \\  \\  \sf Add  \: 6 \:  to \:  both  \: sides: \\  \sf \implies (6 - 6) - 3 m = 6 + 6 \\  \\  \sf 6 - 6 = 0: \\  \sf \implies -3 m = 6 + 6 \\  \\  \sf 6 + 6 = 12: \\  \sf \implies -3 m = 12 \\  \\  \sf Divide  \: both  \: sides  \: of \:  -3 m = 12 \:  by \:  -3: \\  \sf \implies  \frac{ - 3m}{ - 3}  =  \frac{12}{ - 3}  \\  \\  \sf \frac{ - 3}{ - 3} = 1: \\  \sf \implies m =  \frac{12}{ - 3}  \\  \\  \sf -  \frac{12}{3}  =  - 4 :  \\  \sf \implies m =  - 4

7 0
3 years ago
Help ASAP, really stuck
SpyIntel [72]

The total length of the wire needed to make this shape is 162cm

<h3>Perimeter of a triangle</h3>

The perimeter of a triangle is the sum of the external side of the triangle.

Given the following parameters

Length of one side of the outside shape = 24cm

The side length of the smaller triangle = 24/4 = 6cm

The perimeter of the smallest triangle  3(6) = 18cm

The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm

Total length of wire needed. = 3(24) + 3(18) + 36

Total length of wire needed = 72 + 54 + 36

Total length of wire needed = 162cm

Hence the total length of the wire needed to make this shape is 162cm

Learn more on perimeter of triangle here: brainly.com/question/24382052

#SPJ1

6 0
1 year ago
Evaluate 3^-3 x 3^4 x 3 x 3^-5 Answers<br> a. -27<br> b. 1/27<br> c. -81<br> d. 1/81
Sauron [17]
The answer is b. 1/27
3^-3=1/27 and 3^4=81. 1/27×81=3. 3×3=9. 3^-5=1/243. 1/243×9= 1/27. The answer is b. 1/27.
8 0
3 years ago
help easy alll you have to do is drag arrows wich i will be doing to the finish line have any questions comment!!!
Nady [450]

Answer:

tyreagdfasgavgcrec

Step-by-step explanation:

aerbygrsyhbrsvd

6 0
3 years ago
If j(x)=3x+1, find x if j(x)=-11​
vladimir1956 [14]

Answer:

x = -4

Step-by-step explanation:

Step 1: Define

j(x) = 3x + 1

j(x) = -11

Step 2: Substitute and solve for <em>x</em>

-11 = 3x + 1

-12 = 3x

x = -4

6 0
3 years ago
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