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Math Problems
Algebra 2
Factor polynomials
q
z
9
+
r
qz^9+r
q
z
9
+
r
is a factor of
38
z
18
+
b
z
9
+
50
38z^{18} + bz^9 + 50
38
z
18
+
b
z
9
+
50
. What is the highest possible value of
b
b
b
?
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What is the greatest common factor of
30
b
2
,
80
b
2
30 b^{2}, 80 b^{2}
30
b
2
,
80
b
2
, and
20
b
3
20 b^{3}
20
b
3
?
\newline
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Simplify
2
a
+
3
b
+
a
+
7
2 a+3 b+a+7
2
a
+
3
b
+
a
+
7
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Simplify
2
x
+
5
y
+
7
x
2 x+5 y+7 x
2
x
+
5
y
+
7
x
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X
+
7
−
8
x
=
17
6
−
5
x
2
X+7-8x=\frac{17}{6}-\frac{5x}{2}
X
+
7
−
8
x
=
6
17
−
2
5
x
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Solve.
\newline
6
x
+
9
=
3
+
8
x
−
8
6 x+9=3+8 x-8
6
x
+
9
=
3
+
8
x
−
8
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2
A
−
12
+
4
A
=
12
+
8
A
+
18
−
5
A
2 A-12+4 A=12+8 A+18-5 A
2
A
−
12
+
4
A
=
12
+
8
A
+
18
−
5
A
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3
x
+
16
x
=
228
3x+16x = 228
3
x
+
16
x
=
228
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Which of the following equations has no solution?
\newline
x
+
3
x
+
6
=
6
+
4
x
x+3x+6=6+4x
x
+
3
x
+
6
=
6
+
4
x
\newline
3
x
−
2
=
2
−
3
x
3x-2=2-3x
3
x
−
2
=
2
−
3
x
\newline
2
x
+
7
x
−
5
=
9
x
+
5
2x+7x-5=9x+5
2
x
+
7
x
−
5
=
9
x
+
5
\newline
4
x
−
5
x
+
3
=
−
5
x
+
4
x
−
3
4x-5x+3=-5x+4x-3
4
x
−
5
x
+
3
=
−
5
x
+
4
x
−
3
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9
x
4
y
5
3
x
8
y
3
\frac{9x^4y^5}{3x^8y^3}
3
x
8
y
3
9
x
4
y
5
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2
x
5
y
3
x
3
y
2
\frac{2x^5y^3}{x^3y^2}
x
3
y
2
2
x
5
y
3
=
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2
s
2
−
3
s
−
2
=
0
2s^{2}-3s-2=0
2
s
2
−
3
s
−
2
=
0
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A
2
+
B
2
−
A
B
A^2 + B^2 - AB
A
2
+
B
2
−
A
B
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Factor. Check by multiplying.
\newline
2
a
−
12
2 a-12
2
a
−
12
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Solve for
x
x
x
\newline
x
2
−
6
x
+
y
2
+
2
y
−
15
=
0
x^{2}-6x+y^{2}+2y-15=0
x
2
−
6
x
+
y
2
+
2
y
−
15
=
0
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Factor
k
2
+
9
k
+
18
k^{2}+9 k+18
k
2
+
9
k
+
18
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M
2
2
2
Unit
3
3
3
Test Quadre
\newline
21
21
21
.)
\newline
x
2
+
2
x
=
−
5
x^{2}+2x=-5
x
2
+
2
x
=
−
5
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factor completely
16
p
3
q
4
+
128
q
4
−
p
3
−
8
16p^3q^4 + 128q^4 - p^3 - 8
16
p
3
q
4
+
128
q
4
−
p
3
−
8
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Solve for
v
v
v
.
\newline
v
2
+
5
v
+
6
=
0
v^2+5v+6=0
v
2
+
5
v
+
6
=
0
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Factor.
\newline
g
2
−
8
g
+
15
g^{2}-8 g+15
g
2
−
8
g
+
15
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Factor.
\newline
y
2
+
6
y
−
7
y^{2}+6 y-7
y
2
+
6
y
−
7
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−
7
a
+
33
-7a + 33
−
7
a
+
33
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Nana adalah consumer loan officer di Bank Mandiri. Berdasarkan pengalamannya, dia memperkirakan peluang seorang nasabah akan mampu membayar hutangnya adalah
0.30
0.30
0.30
. Bulan lalu Nana berhasil mendapatkan
20
20
20
nasabah baru. Berapakah peluang paling tidak tiga nasabah bisa membayar hutangnya ?
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Panjang sebuah komponen yang diproduksi oleh sebuah perusahaan diperkirakan berdistribusi normal dengan rata-rata
5
5
5
cm dan simpangan baku
0.02
0.02
0.02
cm. Jika dipilih sebuah komponen secara acak, peluang panjang komponen terpilih kurang dari
5.04
5.04
5.04
cm ?
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Sebuah toko alat-alat listrik mencatat rata-rata penjualan lampu TL
40
W
40\,\text{W}
40
W
setiap hari
5
5
5
buah. Jika permintaan akan lampu tersebut mengikuti distribusi poisson, peluang tidak terdapat penjualan lampu TL
40
W
40\,\text{W}
40
W
adalah ?
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Sebuah toko alat-alat listrik mencatat rata-rata penjualan lampu TL
40
40
40
W setiap hari
5
5
5
buah. Jika permintaan akan lampu tersebut mengikuti distribusi poisson, peluang terdapat
3
3
3
penjualan lampu TL
40
40
40
W adalah ?
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Laporan kejahatan yang dikeluarkan kepolisian menunjukkan terdapat
3.1
3.1
3.1
pencurian motor per menit di Indonesia. Berapakah peluang terjadi tepat empat pencurian dalam menit tertentu ?
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Sebuah toko alat-alat listrik mencatat rata-rata penjualan lampu TL
40
W
40\,\text{W}
40
W
setiap hari
5
5
5
buah. Jika permintaan akan lampu tersebut mengikuti distribusi poisson, peluang terdapat lebih dari
2
2
2
penjualan lampu TL
40
W
40\,\text{W}
40
W
adalah ?
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Nana adalah consumer loan officer di Bank Mandiri. Berdasarkan pengalamannya, dia memperkirakan peluang seorang nasabah akan mampu membayar hutangnya adalah
0.30
0.30
0.30
. Bulan lalu Nana berhasil mendapatkan
20
20
20
nasabah baru. Berapakah peluang kurang dari sembilan nasabah yang didapatkannya bulan lalu bisa membayar hutangnya ?
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1
+
5
−
68
+
66666
−
55
1+ 5 - 68 + 66666 - 55
1
+
5
−
68
+
66666
−
55
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Factor the quadratic expre
\newline
8
x
2
−
18
x
−
5
=
8 x^{2}-18 x-5=
8
x
2
−
18
x
−
5
=
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q
2
−
14
q
+
36
q^{2}-14 q+36
q
2
−
14
q
+
36
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6
6
6
)
15
b
2
+
4
b
−
4
=
0
15 b^{2}+4 b-4=0
15
b
2
+
4
b
−
4
=
0
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ratics
\newline
3
,
0
)
3,0)
3
,
0
)
\newline
2
2
2
. Which of the following is a factor of
x
2
−
9
x
+
18
x^{2}-9 x+18
x
2
−
9
x
+
18
?
\newline
a)
x
+
6
x+6
x
+
6
\newline
b)
x
+
3
x+3
x
+
3
\newline
c)
x
−
9
x-9
x
−
9
\newline
d)
x
−
3
x-3
x
−
3
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raclorise
\newline
x
2
−
9
x^{2}-9
x
2
−
9
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x
2
+
6
x
−
7
=
0
x^{2}+6 x-7=0
x
2
+
6
x
−
7
=
0
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p
(
x
)
=
3
x
3
−
20
x
2
+
37
x
−
20
p(x)=3x^3-20x^2+37x-20
p
(
x
)
=
3
x
3
−
20
x
2
+
37
x
−
20
has a known factor of
(
x
−
4
)
(x-4)
(
x
−
4
)
Rewrite
p
(
x
)
p(x)
p
(
x
)
as a product of linear factors.
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4
y
2
+
2
y
−
(
k
−
4
)
=
0
4 y^{2}+2 y-(k-4)=0
4
y
2
+
2
y
−
(
k
−
4
)
=
0
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souve becow:
1
1
1
\newline
In
Δ
\Delta
Δ
rem,
m
<
k
=
(
5
x
−
2
)
∘
m<k=(5 x-2)^{\circ}
m
<
k
=
(
5
x
−
2
)
∘
m
∠
L
=
(
4
x
−
3
)
0
m \angle L=(4 x-3)^{0}
m
∠
L
=
(
4
x
−
3
)
0
, and
m
∠
M
=
(
x
−
10
)
∘
m \angle M=(x-10)^{\circ}
m
∠
M
=
(
x
−
10
)
∘
. find
m
∠
L
m \angle L
m
∠
L
.
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9
x
+
36
9x + 36
9
x
+
36
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x
2
+
4
x
−
21
x^{2}+4 x-21
x
2
+
4
x
−
21
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300
−
76
300-76
300
−
76
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NAME Maddie Case
\newline
DATE
4
4
4
/
22
22
22
/
24
24
24
PERIOD
\newline
7
th
7^{\text {th }}
7
th
\newline
4
4
4
−
5
-5
−
5
\newline
Practice
\newline
Student Edition
\newline
Pages
165
165
165
−
170
-170
−
170
\newline
Solving Multi-Step Equations
\newline
Solve each equation. Check your solution.
\newline
1
1
1
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
\newline
2
2
2
.
−
4
s
+
1
=
9
-4 s+1=9
−
4
s
+
1
=
9
\newline
3
3
3
.
12
=
−
3
k
+
3
12=-3 k+3
12
=
−
3
k
+
3
\newline
4
4
4
.
5
−
2
f
=
19
5-2 f=19
5
−
2
f
=
19
\newline
5
5
5
.
−
31
=
−
6
w
−
7
-31=-6 w-7
−
31
=
−
6
w
−
7
\newline
6
6
6
.
6
+
7
r
=
13
6+7 r=13
6
+
7
r
=
13
\newline
7
7
7
.
−
8
=
8
−
2
c
-8=8-2 c
−
8
=
8
−
2
c
\newline
8
8
8
.
0.4
u
+
1
=
6.6
0.4 u+1=6.6
0.4
u
+
1
=
6.6
\newline
9
9
9
.
3
b
−
2.5
=
5
3 b-2.5=5
3
b
−
2.5
=
5
\newline
10
10
10
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
0
0
0
\newline
11
11
11
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
1
1
1
\newline
12
12
12
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
2
2
2
\newline
13
13
13
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
3
3
3
\newline
14
14
14
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
4
4
4
\newline
15
15
15
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
5
5
5
\newline
16
16
16
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
6
6
6
\newline
17
17
17
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
7
7
7
\newline
18
18
18
.
8
z
−
6
=
18
8 z-6=18
8
z
−
6
=
18
8
8
8
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7
+
5
−
8
−
2
∗
0
+
3
7+5-8-2*0+3
7
+
5
−
8
−
2
∗
0
+
3
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x
2
+
6
x
+
8
x^{2}+6 x+8
x
2
+
6
x
+
8
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40
×
2
/
8
−
8
+
40
40 \times 2 / 8 - 8 + 40
40
×
2/8
−
8
+
40
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Chapter
9
9
9
: Solving Quadratic Equations by Completing the Square > Section Exercises
9.3
>
9.3>
9.3
>
Exercise
22
22
22
\newline
Solve
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
by completing the square. Select the solution(s).
\newline
\begin{tabular}{|c|c|c|c|c|}
\newline
\hline
x
=
−
9
x=-9
x
=
−
9
&
x
=
−
8
x=-8
x
=
−
8
&
x
=
−
7
x=-7
x
=
−
7
&
x
=
−
6
x=-6
x
=
−
6
&
x
=
−
5
x=-5
x
=
−
5
\\
\newline
\hline
x
=
−
4
x=-4
x
=
−
4
&
x
=
−
3
x=-3
x
=
−
3
&
x
=
−
2
x=-2
x
=
−
2
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
0
0
0
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
1
1
1
\\
\newline
\hline
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
2
2
2
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
3
3
3
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
4
4
4
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
5
5
5
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
6
6
6
\\
\newline
\hline
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
7
7
7
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
8
8
8
&
2
x
2
−
8
x
=
10
2 x^{2}-8 x=10
2
x
2
−
8
x
=
10
9
9
9
&
x
=
−
9
x=-9
x
=
−
9
0
0
0
& no real solution \\
\newline
\hline
\newline
\end{tabular}
\newline
icalculator
\newline
need help?
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a
2
−
11
a
+
24
a^{2}-11 a+24
a
2
−
11
a
+
24
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3
x
−
5
y
−
4
=
0
3 x-5 y-4=0
3
x
−
5
y
−
4
=
0
and
9
x
=
2
y
+
7
9 x=2 y+7
9
x
=
2
y
+
7
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при каких значениях
a
a
a
неравенство
a
x
2
+
4
x
>
1
−
3
a
ax^2+4x>1-3a
a
x
2
+
4
x
>
1
−
3
a
выполняется при всех значениях
х
х
х
?
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1
2
3
...
10
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