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12345 [234]
2 years ago
13

Factor completely: 3x^3+33x^2+54x=0

Mathematics
1 answer:
kap26 [50]2 years ago
7 0

Answer:

3(x + 9)(x + 2)x = 0

Step-by-step explanation:

xv1 = −9

xv2 = −2

xv3 = 0

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Answer:

number 2. y=3/4x

Step-by-step explanation:

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3 years ago
Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot
Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

3 0
3 years ago
The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equatio
Zigmanuir [339]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

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Step-by-step explanation:

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