Step-by-step explanation:
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Hence, the sum of a 7-term geometric series is:
-32766.
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Step-by-step explanation:</u></h3>
We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:

On putting the value of a,n and r in the given formula we have:

Hence, the sum of a 7-term geometric series is:
-32766.
-24a²- 6a +9 = - 3(8a² +6a - 9)
8a² +6a - 9 =0
x=(-b +/-√(b² - 4ac))/2a
x = (-6 +/-√(36+4*8*9) /(2*8) = (-6 +/-√(324) /16 = (-6 +/-18)/16
x1 = (-6 +18)/16 = 0.75
x2 = (-6 -18)/16 = - 1.5
-24a²- 6a +9 = - 3(8a² +6a - 9) = -3(a - 0.75)(a + 1.5)
Answer:
54 3/4
Step-by-step explanation:
18*3=54
1/4*3=3/4
Let hours = x
She can work a maximum of 30 hours so x can be any number from 30 or below.
The inequality would be: X <= 30