Jacob is solving the equation below using successive approximations.2^x-4=3^-x-2 He started from a graph where he found the solu
2 answers:
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Answer:
1.75 cm
Step-by-step explanation:
We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.
Now, to increase the profit, the dimensions of the box by 'x' cm.
Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.
Further, it is given that the volume of the new box is 2,208
As, Volume of the box = Length × Breadth × Height
i.e. 2208 = (25-x) × (14-x) × (10-x)
i.e.
i.e.
i.e.
On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.
Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.
Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.
Hence, the dimensions were decreased by 1.75 cm.
Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.