A robot can complete 7 tasks in
1 answer:
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Answer:
n= 1/2 ( ) or (0.5)
AND
n= -3/2 ( ) or (-1.5)
Step-by-step explanation:
4n^2+4n=3
step1: move 3 to the other side and make the equation equal to zero.
4n^2+4n-3=0
step2: factorise the equation.
(2n-1)(2n+3)=0
step3: make each bracket equal to zero.
2n-1=0
2n+3=0
step4: solve for n values.
<u>1.</u> 2n-1=0
(add 1 for both sides)
2n=1
(divide by 2 for both sides)
n= 1/2 ( ) or (0.5)
<u>2.</u> 2n+3=0
( subtract 3 for both sides)
2n=-3
(divide by 2 for both sides)
n= -3/2 ( ) or (-1.5)
Answer:
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form
is a factor of a polynomial
if and only if
(that is: replacing all
in the polynomial
with the constant
would give this polynomial a value of
.)
For example, in the second linear factor , the value of the constant is
. Verify that the value of
is indeed
. (In other words, replacing all
in the polynomial
with the constant
should give this polynomial a value of
.)
.
Hence, is indeed a linear factor of polynomial
.
Similarly, it could be verified that and
are also linear factors of this polynomial function.
Rewrite the first linear factor in the form
for some constant
:
, where
.
Calculate the value of .
.
implies that
(which is equivalent to
) isn't a linear factor of this polynomial function.