12 + 14 + 16 + 18 = 60
Smallest number of the four numbers is 12
Answer:
b. 8.7
Step-by-step explanation:
Answer:
-2, -4, -3 + 2i, -3-2i
Step-by-step explanation:
Equaling the function to zero we have:
(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0
For the first parenthesis we have:
(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0
Therefore the roots are:
x = - 4\\x = - 2
For the second parenthesis we have:
(x ^ 2 + 6x + 13) = 0
By completing squares we have:
x ^ 2 + 6x = -13
x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}
Therefore the roots are:
x = -3 + 2i\\x = -3 - 2i
Hope this was helpful
Answer:
5x+9y≤32
Step-by-step explanation:
Let x be the number of cassette tapes you purchase.
Let y be the number of CDs you purchase.
The problem is you only have $32 to spend.
Different combinations of tapes and CDs are possible. We want an equation showing this relationship.
One cassette tape costs $5. The cost for any number of cassette tapes is $5 times the number
purchased; that's 5 times x, or 5x.
To find the cost of CDs purchased, we multiply $9 times the number of CDs, $9 times y or 9y.
The cost of the total purchase is
[the cost of the cassettes] + [the cost of the CDs] or
5x + 9y
Hope this helps!!
