Teresa counted 2 leaves on May 1st and 9 leaves on September 1st.
The difference in the number of leaves is:
9 - 2 = 7
Hence, the number of leaves has increased by 7 units.
7/12 - 1 5/12 = 7-5 = 2
= 1 2/12 ( the whole came from 1 5/12 )
Answer:
B
Step-by-step explanation:
(x⁴ + x)^½
As x approaches infinity, x⁴ becomes much larger than x. So:
(x⁴ + x)^½ ≈ (x⁴)^½ = x²
So x² grows at the same rate as (x⁴ + x)^½.
Answer:
x=-2 x=2 x = 1/2 x=3
Step-by-step explanation:
f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Graph
We see that there is a zero at -2
Using synthetic division
-2 2 -5 -5 20 -12
-4 18 -26 12
------------------------------
2 -9 13 -6 0
This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)
We see that there is a zero at 2
Using synthetic division ( 2x^3 -9x^2 +13x -6)
2 2 -9 13 -6
4 -10 6
------------------------------
2 -5 3 0
This gives us ( x+2) ( x-2) ( 2x^2 -5x+3)
We can factor ( 2x^2 -5x+3)
( x+2) ( x-2) ( 2x -1) ( x-3)
Using the zero product property
( x+2)=0 ( x-2)=0 ( 2x -1)=0 ( x-3)=0
x=-2 x=2 x = 1/2 x=3
Answer:
Step-by-step explanation:
vertex form Equation of the Parabola is
y
=
a
(
x
−
h
)
2
+
k
F
(
x
)
=
x
2
−
4
x
−
7
=
x
2
−
4
x
+
4
−
4
−
7
=
(
x
−
2
)
2
−
11
This is the vertex form Equation of the Parabola
F
(
x
)
where
h
=
2
and
k
=
−
11
and Parabola opens
u
p
since
a
=
1
is positive