Answer:
(5x² + 3) (2x-3)
Step-by-step explanation:
10x³ - 15x² + 6x - 9 (rearrange)
10x³+ 6x - 15x² - 9 (group using parentheses)
(10x³+ 6x) - (15x² + 9) (factor out 2x from first term and 3 from second term)
2x (5x²+ 3) - 3(5x² + 3) (factor out (5x²+3) )
(5x² + 3) (2x-3) (answer)
Answer:
The limit of a sum is equal to the sum of the limits.
Step-by-step explanation:
The limits of a constant times a function is equal to the constant times the limit of the function.
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Area of a rectangle: A = 24 a² b
Length: L = 8 a b²
Width: W = A / L = 24 a² b / 8 a b²
Answer: W = 3 a / b