Answer:
2
(
n
+
2
)
(
n
+
1
2
)
Step-by-step explanation:
coefficient of the first term:
2
=
2
×
1
coefficient of the last term:
2
=
2
×
1
coefficient of the middle term (using only the factors above):
5
=
2
×
2
+
1
×
1
2
n
2
+
5
n
+
2
=
(
2
n
+
1
)
(
n
+
2
)
Alternative method:
Treat the given expression as a quadratic set equal to zero, with the form
a
n
2
+
b
n
+
c
and use the quadratic formula
−
b
±
√
b
2
−
4
a
c
2
a
This will given solutions
n
=
−
2 and n
=
−
1
2
for a factoring
2
(
n
+
2
)
(
n
+
1
2
)
Hope this helped
Answer:
The answer is -15/20, -1/4, 7. Thanks
They would make a profit of $187.50
(if that is what you were trying to ask)
Answer:
- (-11.70, -2.05), (4.70, 5.10)
Step-by-step explanation:
<u>Given equations</u>
<u>Solving the first equation for x:</u>
- (x+5)(x+2)=65
- x^2 + 7x + 10 = 65
- x^2 + 7x - 55 = 0
- x = (-7 ± √(49+4*55))/2
- x = -11.70, x = 4.70
<u>Then solving for y:</u>
- y= 24/(-11.7) = -2.05
- y = 24/4.7 = 5.10
<u>Solution set: </u>
- (-11.70, -2.05), (4.70, 5.10)
