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3 years ago

Simplify (6ab3c)(-abc2).

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Sorry, I know it's a little late.The answer is -6a^2 b^4 c^3

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F (x) = 3 (x– 4)^2– 12

mrs_skeptik [129]

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

= 3x² - 24x + 48 - 12

= 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432

= 144 ← a perfect square

Then 2 zeros are real and rational and produce 2 x- intercepts

4 0

2 years ago

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Julie spends $5.62 at the store Micah spends five times as much as Julie jeremany spends $6.72 more than micah how many much mon

marin [14]

Micah spends $33.72 and jeremay spends $40.44

3 0

3 years ago

The scores listed below are the results from students taking a dexterity test. What is the 75th percentile of these scores? 1, 1

boyakko [2]

The answer is B 2.25

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3 years ago

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13w-8w =20 ??????????

Nookie1986 [14]

Answer:

w = 4

Step-by-step explanation:

13w-8w =20

Combine like terms

5w = 20

Divide each side by 5

5w/5 = 20/5

w = 4

4 0

3 years ago

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There are 36 graduated cylinders to put away on a shelf

Sergio039 [100]

Answer:

There are three possible arrangements of the graduated cylinders on the shelf. 

1. 4 rows of 9 graduated cylinders 

2. 3 rows of 12 graduated cylinders. 

3. 2 rows of 18 graduated cylinders.

Step-by-step explanation:

Number of graduated cylinders to put away on the shelf = 36

Maximum number of graduated cylinders that can fit across = 20

Maximum number of graduated cylinders that can fit deep = 4

The teacher wants each row to have the same number of cylinders.

First option of arrangement:

4 rows of 9 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 4 x 9)

Second option of arrangement:

3 rows of 12 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 3 x 12)

Third option of arrangement:

2 rows of 18 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 2 x 18)

No other arrangement is possible, because a only row of 36 graduated cylinders doesn't fit across or 6 rows of 6 don't fit deep.

6 0

3 years ago