Answer:
a) The estimates for the solutions of
are
and
.
b) The estimates for the solutions of
are
and
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial
, where
is related to the horizontal axis of the Cartesian plane, whereas
is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a) 
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
b) 
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
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
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
Answer:
27.5
Step-by-step explanation:
first you find what 30x30 is as A squared plus B squared is equal to C squared. your A is 12 and your C is 30.
so!
30x30 is 900
12x12 is 144
subtract 144 from 900 and you get 756. once you find the square root you get 27.49. then round up to 27.5