Given:
edge 1 = 3x - 4
edge 2 = x² - 1
edge 3 = 2x² - 15
perimeter if x = 4
edge 1 = 3(4) - 4 = 12 - 4 = 8
edge 2 = 4² - 1 = 16 - 1 = 15
edge 3 = 2(4²) - 15 = 2(16) - 15 = 32 - 15 = 17
Perimeter = 8 + 15 + 17 = 40 feet.
5 5/12
(2+3) 1/6 + 1/4=
5 5/12
Answer:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Step-by-step explanation:
Let x the number of months
Cody's Gym charges a $15 fee to join and $30 per month
y₁= 15 + 30x (1)
Tyler's Gym charges a $30 fee to join and $20 per month
y₂ = 15 + 30x (2)
See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)
The point of intersection between y₁ and y₂ is ( 3/2 , 60)
After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges
So, the inequality will be:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation: