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steposvetlana [31]
3 years ago
9

Factor completely. 3x^2-3x-18 HINT: Factor out the greatest common factor first.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

3(x - 3)(x + 2)

Step-by-step explanation:

take out a common factor of 3 from each term

= 3(x² - x - 6)

to factor the quadratic consider the factors of - 6 which sum to - 1

These are - 3 and + 2, hence

3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form


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Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

 

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

or

T = 16 y + 360

 

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

<span>x + y = 30 + 3 = 33 hrs        </span>

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7 0
2 years ago
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natima [27]

ANSWER

f( - 1) = 0

EXPLANATION

From the table the values of x, are on the left and the values of f(x) are on the right.

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This value is 0.

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8 0
3 years ago
The olympic record for the men's 1500 m athletic race was set by Noah ngeny -kenya (Sydney 2000) at 3:32:07( 3min,32.07s) how ma
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3 years ago
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