The data modeled by the box plots represent the test scores of two different Algebra classes.
1 answer:
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Height of the pentagon = 9 ft
Edge of base = 3 ft
s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees
Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft
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:
width = 10 units and length = 20 units
Step-by-step explanation:
Let the width be w
so Length will be 2w
using the rectangle formula:
Find length: