set them equal to each other
x²+1=x+1
minus 1 from both sides
x²=x
minus x both sides
x²-x=0
factor
x(x-1)=0
set each to 0
x=0
x-1=0
x=1
subsitute back to find y values
y=x+1, y=0+1, y=1, one point is (0,1)
y=x+1, y=1+1, y=2, another point is (1,2)
the 2 points of intersection are (0,1) and (1,2)
See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
Answer:
x=116
Step-by-step explanation:
180-C will get you F since they are adjacent angles, which would be 116. We know that the opposite angles of a parallelogram are equal, so x=116
Answer: Hello your question is poorly written attached below is the complete question
answer:
0.1515
Step-by-step explanation:
Number of bets = 200
mean number of losses = $0.2
Standard deviation = $2.74
<u>Determine P ( winning after 200 bets ) </u>
Average of 200 bets > 0. i.e. P( X > 0 )
considering normal distribution : μ = -0.2 , б = 2.74 , n = 200
applying Z - distribution
z = 0 - ( - 0.2 ) / ( 2.74 / √200 ) ≈ 1.03
∴ P ( z > 1.03 ) = 1 - P ( z < 1.03 )
= 1 - 0.8485 ( value gotten from z-table )
= 0.1515
