Answer:
For the first two:
16(2+3)
3(5+19)
Step-by-step explanation:
To find the gcf, you must list the factors of both numbers, and whichever one is greatest, you would put on the outside. Like 16 is the gcf of 32 and 48, so that number remains on the outside. Now, for the inside numbers, 16 times what equals 32? 16 times 2. 16 times what equals 48? 16 times 3 equals 48. Put those in the parenthesis, and put an addition sign in between them.
Answer:
A) Three times x to the second power added to two times y which is added to a half.
B) Six times x plus two multiplied by y added to one by two
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(x - h)^2 = 4p(y - k)
(-1 - 3)^2 = 4p(8 - 0.5)
(-4)^2 = 4p(7.5)
16 = 30p
p = 16/30
p = 8/15
(x - 3)^2 = 16/15(y - 0.5)
15(x^2 - 6x + 9) = 16y - 8
15x^2 - 90x + 135 = 16y - 8
16y = 15x^2 - 90x + 135 + 8
y = 15/16 x^2 - 90/16 x + 143/16
f(x) = 15/16 x^2 - 90/16x + 143/16
Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
