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WARRIOR [948]
3 years ago
11

Factor the polynomial 54c3d4 + 9c4d2

Mathematics
2 answers:
miv72 [106K]3 years ago
7 0
54c^3d^4 + 9c^4d^2
9c^3d^2(6d^2 + c)
Harlamova29_29 [7]3 years ago
3 0

Answer: 9c^3d^2(6d^2+c)

Step-by-step explanation:

Given expression : 54c^3d^4+9c^4d^2

We can write the above expression as

(6\times9)c^3d^{(2+2)}+9c^{(3+1)}d^2

=(6\times9)c^3d^2d^2+9c^3c^1d^2

We can see the greatest common factor of both the terms = 9c^3d^2

Taking the greatest common factor outside , we get

9c^3d^2(6d^2+c)

Hence, the factorize form of given expression is given by:-

54c^3d^4+9c^4d^2=9c^3d^2(6d^2+c)

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irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

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ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

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Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

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-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

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