Answer:
x²(9x– 11)(9x + 11)
Step-by-step explanation:
81x⁴ – 121x²
The expression can be factorised as follow:
81x⁴ – 121x²
x² is common to both term. Thus:
81x⁴ – 121x² = x²(81x² – 121)
Recall:
81 = 9²
121 = 11²
Therefore,
x²(81x² – 121) = x²(9²x² – 11²)
= x²[(9x)² – 11²]
Difference of two squares
x²(9x– 11)(9x + 11)
Therefore,
81x⁴ – 121x² = x²(9x– 11)(9x + 11)
Answer:
Brainly.in
Question
When <u>6</u><u> </u><u>times</u><u> </u><u>a</u><u> </u><u>number</u><u> </u> is increased by 11 the result is 16 less than 9 times the number. Find the number.
Answer · 7 votes
Answer:6x+11=9x-163x=27X=9 Please mark it brainliest
Step-by-step explanation:
Please mark it brainliest
Answer:
a) 12cm
b) 360cm²
c) 2160cm cubed
Step-by-step explanation:
a)
you would use Pythagoras theorem for A
so half of 18 is 9
15² - 9² = 144
the square root of 144 is 12
the height is 12cm
b)
18 x 20 = 360cm²
c)
csa x L
csa = b x h divide by 2
18 x 12 = 216cm²/2 = 108cm²
108xm² x 20cm = 2160cm cubed
Answer:
Neither
Step-by-step explanation:
Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

Thus, the probability of the union of events "woman" or "no" is 0.45.