Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
Answer:
The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Step-by-step explanation:
According to the rational root theorem:
if 
and 
are non zero then each rational solution x will be:
x= +/- Factors of / Factors of
In the given polynomial we have:
66x4 – 2x3 + 11x2 + 35
= 35
= 66
Therefore,
x= +/- Factors of 35/ Factors of 66.
Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Answer:
sin²(α)
Step-by-step explanation:
sin⁴(α) − cos⁴(α) + cos²(α)
sin⁴(α) − cos²(α) (cos²(α) − 1)
sin⁴(α) − cos²(α) (-sin²(α))
sin⁴(α) + sin²(α) cos²(α)
sin²(α) (sin²(α) + cos²(α))
sin²(α) (1)
sin²(α)
Im not sure abbout the equations... but Mark is 48 inches, cuz it says; He WAS 46 in. tall. this year, amrks height is 3 inches LESS than peters height. So now, peter is 51 in. tall How tall is mark NOW? So u just have to minus 51-3 = 48!
