1 In general, given
a
x
2
+
b
x
+
c
ax
2
+bx+c, the factored form is:
a
(
x
−
−
b
+
b
2
−
4
a
c
2
a
)
(
x
−
−
b
−
b
2
−
4
a
c
2
a
)
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case,
a
=
3
a=3,
b
=
−
54
b=−54 and
c
=
343
c=343.
3
(
y
−
54
+
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
(
y
−
54
−
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
3(y−
2×3
54+
(−54)
2
−4×3×343
)(y−
2×3
54−
(−54)
2
−4×3×343
)
3 Simplify.
3
(
y
−
54
+
20
3
ı
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
54+20
3
)(y−
6
54−20
3
)
4 Factor out the common term
2
2.
3
(
y
−
2
(
27
+
10
3
ı
)
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
2(27+10
3
)
)(y−
6
54−20
3
)
5 Simplify
2
(
27
+
10
3
ı
)
6
6
2(27+10
3
)
to
27
+
10
3
ı
3
3
27+10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
54
−
20
3
ı
6
)
3(y−
3
27+10
3
)(y−
6
54−20
3
)
6 Factor out the common term
2
2.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
2
(
27
−
10
3
ı
)
6
)
3(y−
3
27+10
3
)(y−
6
2(27−10
3
)
)
7 Simplify
2
(
27
−
10
3
ı
)
6
6
2(27−10
3
)
to
27
−
10
3
ı
3
3
27−10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
27
−
10
3
ı
3
)
3(y−
3
27+10
3
)(y−
3
27−10
3
I hope this help you
Answer:
<h2>z = -1</h2>
Step-by-step explanation:
Given the equation;
\
Find the LCM
Hence the value of z that satisfies the equation is -1
Answer:
The answer to your question is 780 ft²
Step-by-step explanation:
- Divide the figure into two sections an upper part and a lower part.
- Area of the upper part = base x height
= 40' x 18'
= 720
-Area of the lower part
base = 40' - 30' = 10'
height = 24' - 18' = 6'
Area = 10 x 6 = 60
- Total area = Area Upper part + Area lower part
= 720 + 60
= 780 ft²
Answer:
D. 9n = 27
Step-by-step explanation:
If we need one adult for every 9 students, we can represent that as 9n:
if n is the number of adults.
Because we have 27 students, the equation 9n = 27 works.
A better way of formatting the equation is:
n = 27/9
Because it directly shows what the number of adults is, but with some reformatting, it is clearly the same equation.