Answer:
Step-by-step explanation:
Add 1 and subtract 1, so that the expression won't change.
(a² - b²) = (a+b)(a - b)
Here a = x² - (1/x²) and b = 1
![= [ (x^{2}-\frac{1}{x^{2}})+ 1 ] [ (x^{2} -\frac{1}{x^{2}} - 1 ]](https://tex.z-dn.net/?f=%3D%20%5B%20%28x%5E%7B2%7D-%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%7D%29%2B%201%20%5D%20%5B%20%28x%5E%7B2%7D%20-%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%7D%20-%201%20%5D)
Answer:what
Step-by-step explanation:
Answer:
Step-by-step explanation:
f
(
x
)
=
−
4
(
x
−
8
)
2
+
3
Set the polynomial equal to
y
to find the properties of the parabola.
y
=
−
4
(
x
−
8
)
2
+
3
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
−
4
h
=
8
k
=
3
Since the value of
a
is negative, the parabola opens down.
Opens Down
Find the vertex
(
h
,
k
)
.
(
8
,
3
)
Find
p
, the distance from the vertex to the focus.
Tap for more steps...
−
1
16
Find the focus.
Tap for more steps...
(
8
,
47
16
)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x
=
8
image of graph
Answer:
Pual needs 3 gallons
Step-by-step explanation:
∵ The dimensions of the four walls are:
25 × 8 , 30 × 8 , 25 × 8 , 30 × 8
∴ The area of painting = 2(25 × 8) + 2(30 × 8)
= 400 + 480 = 880 square feet
∵ each gallon paint 400 square feet
∴ The number of gallons = 880/400 = 2.2, so he needs 3 gallons
