Answer:
(x−3)(x−5)
Step-by-step explanation:
Let's factor x2−8x+15
x2−8x+15
The middle number is -8 and the last number is 15.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -8
Multiply together to get 15
Can you think of the two numbers?
Try -3 and -5:
-3+-5 = -8
-3*-5 = 15
Fill in the blanks in
(x+_)(x+_)
with -3 and -5 to get...
(x-3)(x-5)
Answer:
see above
Step-by-step explanation:
Answer right xa hola
B. It will have two zeros. Hope this helps!
Answer:
(5^4)^2
Step-by-step explanation:
Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
