Answer:
Step-by-step explanation:
First and foremost, a root is the same thing as a zero. It's called a zero because when x is equal to -1/4 (as it is here), y = 0. Where y = 0 is the x-axis. So if a quadratic has a 0 of -1/4, that is where the graph of the parabola goes through the x-axis.
If your quadratic has a zero of -1/4, that means that when y = 0, x = -1/4. Again, because this is a zero of the quadratic, then we can write it in factor form by setting x = -1/4 equal to 0. Do that like this:
If x = -1/4, then x + 1/4 = 0 and the factor is (x + 1/4) However, we do not want to leave that as a fraction. Take care of the fraction when it is set to equal 0:
and multiply everything by 4:
and simplify to
4x + 1 = 0 and the factor is
(4x + 1).
Do the same with the 3/2: If
, then
. Multiply everything by 2 to get:
to give you
2x - 3 = 0 and the factor is
(2x - 3).
FOIL those 2 factors together to get
which simplifies to
Now set it back equal to y and you're done!
Answer: B. P(yellow) = 11/15
Step-by-step explanation: A:event that it is not yellow
B(complement of A):event that it is yellow
P(B)=1-P(A)
⇒ P(B)=1-
⇒ P(B)= 
⇒ P(B)= 
⇒ P(yellow)= 11/15
Answer:y
=
3
x
−
1
Explanation:
Find
d
y
d
x
of
y
equation
y
=
3
x
2
−
x
3
d
y
d
x
=
6
x
−
3
x
2
Then from the point (1,2) we can obtain the x value which is 1
Insert
x
=
1
into
d
y
d
x
d
y
d
x
=
6
(
1
)
−
3
(
1
)
2
d
y
d
x
=
3
To form the equation we have to base it from the original equation
y
=
m
x
+
c
we know that m=3 from
d
y
d
x
=
3
y
=
3
x
+
c
use the coordinates given fro x and y values to find c
(1,2) x=1 , y=2
(
2
)
=
3
(
1
)
+
c
c
=
−
1
Then we put c back into the general form to get the final tangent equation
y
=
3
x
−
1
Step-by-step explanation:
Counting. Hope this helps. If not sure google it.
