What the qoutient sweetheart
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given

We know the rational zeros theorem such as:
if
is a zero of the function
,
then
.
As the
is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
, 
From the above calculation results, we determined that
zeros as
and
.
Hence, we can check that

Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
The volume of the ball is 256 cm³
Step-by-step explanation:
we know that
The density is equal to the ratio of the mass by the volume
D=m/V
Solve for V
The volume is equal to the ratio of the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³