Area of rectangular prism is given by:
A=2(wl+hl+lw)
where w=width h=height, l=length
checking for given options
1. 8 ft, by 4ft by 3ft
Area = 136 square feet
5. 3 feet by 5 feet by 7 feet
Area =142 square feet
so our first and last option matches the requirement of area less than 160 square feet.
60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.
Answer:
Is there a x somewhere or is that litteraly how the equation is?
If so, -7 multiplied by 2 is -14,
-1 times -7 is 7,
add it together and you get
-7=28,
you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0
which would make the solution false since both sides are not the same
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.
