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Math Problems
Algebra 2
Factor sums and differences of cubes
Find the derrivative of inverse trigonometric Function.
\newline
y
=
1
+
x
2
Arctan
x
−
x
y=1+x^{2} \operatorname{Arctan} x-x
y
=
1
+
x
2
Arctan
x
−
x
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x
!
=
1718
x! = 1718
x
!
=
1718
\newline
X
X
X
factorial is equal to
1718
1718
1718
\newline
Find the vaule of
\newline
X
X
X
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find an expression for
x
x
x
in terms of
e
e
e
when
e
2
=
x
+
3
x
−
2
e^2=\frac{x+3}{x-2}
e
2
=
x
−
2
x
+
3
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X
+
4
2
+
x
3
X+\frac{4}{2}+\frac{x}{3}
X
+
2
4
+
3
x
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Find the line's slope and a point on the line.
\newline
y
+
1
=
2
3
(
x
−
1
)
y+1=\frac{2}{3}(x-1)
y
+
1
=
3
2
(
x
−
1
)
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m
−
a
2
+
9
;
(
m
=
7
;
a
=
2
)
m-a^{2}+9 ;(m=7 ; a=2)
m
−
a
2
+
9
;
(
m
=
7
;
a
=
2
)
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(
x
−
5
)
2
+
36
=
0
(x-5)^{2}+36=0
(
x
−
5
)
2
+
36
=
0
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Solve for all values of
x
x
x
.
x
−
2
x
−
3
=
2
x - \frac{2}{x - 3} = 2
x
−
x
−
3
2
=
2
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453
⋮
−
76
−
23
\begin{array}{r}453 \\ \vdots \\ \hline-76 \\ \hline-23\end{array}
453
⋮
−
76
−
23
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Question
2
2
2
(
1
1
1
point) Retake question
\newline
✓
\checkmark
✓
Saved
\newline
The product of the Eigen values of an orthogonal matrix is
\qquad
\newline
0
0
0
\newline
1
1
1
\newline
2
2
2
\newline
±
1
\pm 1
±
1
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(i)
x
+
y
=
5
x+y=5
x
+
y
=
5
and
2
x
−
3
y
=
4
2 x-3 y=4
2
x
−
3
y
=
4
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Simplify
\newline
16
x
−
8
x
4
=
2
\frac{16 x-8x}{4}=2
4
16
x
−
8
x
=
2
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4
x
3
+
7
x
2
+
12
4x^3 + 7x^2 + 12
4
x
3
+
7
x
2
+
12
is
O
(
x
3
)
O(x^3)
O
(
x
3
)
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8
x
+
x
2
−
2
y
=
64
−
y
2
8 x+x^{2}-2 y=64-y^{2}
8
x
+
x
2
−
2
y
=
64
−
y
2
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5
−
2
5
+
2
+
5
+
2
5
−
2
=
a
−
b
5
\frac{\sqrt{5}-2}{\sqrt{5}+2}+\frac{\sqrt{5}+2}{\sqrt{5}-2}=a-b \sqrt{5}
5
+
2
5
−
2
+
5
−
2
5
+
2
=
a
−
b
5
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Solve using augmented matrices.
\newline
4
x
+
y
=
5
4x + y = 5
4
x
+
y
=
5
\newline
y
=
−
3
y = -3
y
=
−
3
\newline
(_____, _____)
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Solve using augmented matrices.
\newline
y
=
10
y = 10
y
=
10
\newline
9
x
+
10
y
=
10
9x + 10y = 10
9
x
+
10
y
=
10
\newline
(_____, _____)
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Tryout > TO
−
5
-5
−
5
UTBK-SNBT SUPINT
2023
2023
2023
/
2024
2024
2024
> SKOLAST
\newline
PENGETAHUAN KUANTITATIF KUANTI
24
24
24
−
13
-13
−
13
\newline
Deskripsi Soal
\newline
Perhatikan gambar berikut!
\newline
Segiempat
A
B
C
D
A B C D
A
BC
D
terbentuk dari
4
4
4
tali busur pada lingkaran. Tentukan besar sudut
D
D
D
! Putuskan apakah pernyataan (
1
1
1
) dan (
2
2
2
) yang mengikuti soal berikut cukup untuk menjawab pertanyaan tersebut.
\newline
(
1
1
1
)
∠
B
−
∠
D
=
20
\angle B-\angle D=20
∠
B
−
∠
D
=
20
\newline
(
2
2
2
)
∠
A
−
∠
D
=
90
\angle A-\angle D=90
∠
A
−
∠
D
=
90
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ить на множители многочлен
\newline
(
1
+
4
x
2
)
y
2
+
2
(
2
x
−
y
)
(
1
+
2
x
y
)
+
1
\left(1+4 x^{2}\right) y^{2}+2(2 x-y)(1+2 x y)+1
(
1
+
4
x
2
)
y
2
+
2
(
2
x
−
y
)
(
1
+
2
x
y
)
+
1
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Find the binomial that completes the factorization.
\newline
q
3
+
r
3
=
(
‾
)
(
q
2
−
q
r
+
r
2
)
q^3 + r^3 = (\underline{\hspace{3cm}})(q^2 - qr + r^2)
q
3
+
r
3
=
(
)
(
q
2
−
q
r
+
r
2
)
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Find the binomial that completes the factorization.
\newline
v
3
−
512
=
(
‾
)
(
v
2
+
8
v
+
64
)
v^3 - 512 = (\underline{\hspace{3cm}})(v^2 + 8v + 64)
v
3
−
512
=
(
)
(
v
2
+
8
v
+
64
)
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Find the binomial that completes the factorization.
\newline
y
3
−
64
=
(
‾
)
(
y
2
+
4
y
+
16
)
y^3 - 64 = (\underline{\hspace{3cm}})(y^2 + 4y + 16)
y
3
−
64
=
(
)
(
y
2
+
4
y
+
16
)
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Find the binomial that completes the factorization.
\newline
t
3
+
64
=
(
‾
)
(
t
2
−
4
t
+
16
)
t^3 + 64 = (\underline{\hspace{3cm}})(t^2 - 4t + 16)
t
3
+
64
=
(
)
(
t
2
−
4
t
+
16
)
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Find the binomial that completes the factorization.
\newline
w
3
−
216
=
(
‾
)
(
w
2
+
6
w
+
36
)
w^3 - 216 = (\underline{\hspace{3em}})(w^2 + 6w + 36)
w
3
−
216
=
(
)
(
w
2
+
6
w
+
36
)
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Find the binomial that completes the factorization.
\newline
w
3
+
512
=
(
‾
)
(
w
2
−
8
w
+
64
)
w^3 + 512 = (\underline{\hspace{3cm}})(w^2 - 8w + 64)
w
3
+
512
=
(
)
(
w
2
−
8
w
+
64
)
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Find the quadratic polynomial that completes the factorization.
\newline
q
3
+
216
=
(
q
+
6
)
(
_
_
_
_
_
)
q^3 + 216 = (q + 6)(\_\_\_\_\_)
q
3
+
216
=
(
q
+
6
)
(
_____
)
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Find the binomial that completes the factorization.
\newline
u
3
+
27
=
(
‾
)
(
u
2
−
3
u
+
9
)
u^3 + 27 = (\underline{\hspace{3cm}})(u^2 - 3u + 9)
u
3
+
27
=
(
)
(
u
2
−
3
u
+
9
)
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Find the binomial that completes the factorization.
\newline
q
3
+
64
=
(
‾
)
(
q
2
−
4
q
+
16
)
q^3 + 64 = (\underline{\hspace{3em}})(q^2 - 4q + 16)
q
3
+
64
=
(
)
(
q
2
−
4
q
+
16
)
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sin
(
x
2
+
3
x
y
)
+
ln
(
cos
x
)
−
4
y
2
+
1
=
0
\sin(x^2+3xy)+\ln (\cos x)-4y^2+1=0
sin
(
x
2
+
3
x
y
)
+
ln
(
cos
x
)
−
4
y
2
+
1
=
0
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3
3
3
.
(
sen
x
y
+
x
y
cos
x
y
)
d
x
+
(
1
+
x
2
cos
x
y
)
d
y
=
0
⇒
y
+
x
sen
x
y
=
C
(\operatorname{sen} x y+x y \cos x y) d x+\left(1+x^{2} \cos x y\right) d y=0 \quad \Rightarrow y+x \operatorname{sen} x y=C
(
sen
x
y
+
x
y
cos
x
y
)
d
x
+
(
1
+
x
2
cos
x
y
)
d
y
=
0
⇒
y
+
x
sen
x
y
=
C
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exttt{
−
2
-2
−
2
}(
7
7
7
y - x) /y =
2
2
2
x
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Diketahui persamaan garis lurus
9
:
2
x
+
p
y
−
20
=
0
9: 2x + py - 20 = 0
9
:
2
x
+
p
y
−
20
=
0
. Jika garis lurus
g
g
g
melalui titik
(
5
,
−
2
)
(5, -2)
(
5
,
−
2
)
,
p
−
3
p - 3
p
−
3
adalah
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Evaluate the following limit using L'Hospital's rule.
\newline
lim
x
→
0
+
(
8
x
)
sin
(
5
x
)
\lim _{x \rightarrow 0^{+}}(8 x)^{\sin (5 x)}
x
→
0
+
lim
(
8
x
)
s
i
n
(
5
x
)
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6
6
6
Accelerated
\newline
13
13
13
\newline
son
11
11
11
Practice
\newline
the specified set of integers, determine which, if any, make the equation true.
\newline
20
−
5
w
=
10
w
+
5
20-5 w=10 w+5
20
−
5
w
=
10
w
+
5
\newline
255
255
255
\newline
Name
\qquad
\newline
Date
\qquad
\newline
Period
\qquad
\newline
\qquad
\newline
\qquad
\newline
\qquad
\newline
{
−
10
,
−
4
,
−
1
,
0
,
13
,
12
}
\{-10,-4,-1,0,13,12\}
{
−
10
,
−
4
,
−
1
,
0
,
13
,
12
}
\newline
3
3
3
.
3
y
+
5
=
4
y
+
15
3 y+5=4 y+15
3
y
+
5
=
4
y
+
15
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2
sin
θ
cos
θ
+
cos
θ
=
0
2 \sin \theta \cos \theta+\cos \theta=0
2
sin
θ
cos
θ
+
cos
θ
=
0
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cos
2
(
x
)
+
sin
2
(
x
)
=
(
e
i
x
+
e
−
i
x
)
2
4
+
sin
2
(
x
)
=
(
e
2
i
x
+
e
−
2
i
x
)
4
+
e
2
ln
(
sin
(
x
)
)
+
1
2
\cos^2 (x) + \sin^2 (x) = \frac{(e^{ix} + e^{-ix})^2}{4} + \sin^2 (x) = \frac{(e^{2ix} + e^{-2ix})}{4} + e^{2\ln(\sin(x))} + \frac{1}{2}
cos
2
(
x
)
+
sin
2
(
x
)
=
4
(
e
i
x
+
e
−
i
x
)
2
+
sin
2
(
x
)
=
4
(
e
2
i
x
+
e
−
2
i
x
)
+
e
2
l
n
(
s
i
n
(
x
))
+
2
1
Get tutor help
April
1
0
th
10^{\text {th }}
1
0
th
Homework: Solving Equ
\newline
1
1
1
. Solve each equation.
\newline
a)
2
(
n
−
3
)
=
8
2(n-3)=8
2
(
n
−
3
)
=
8
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INVERSE FUNCTIONS
\newline
rmula for the inverse of the function.
\newline
2
+
3
x
\sqrt{2+3 x}
2
+
3
x
\newline
22
22
22
.
f
(
x
)
=
4
x
−
1
2
x
+
3
f(x)=\frac{4 x-1}{2 x+3}
f
(
x
)
=
2
x
+
3
4
x
−
1
\newline
24
24
24
.
y
=
x
2
−
x
,
x
⩾
1
2
y=x^{2}-x, \quad x \geqslant \frac{1}{2}
y
=
x
2
−
x
,
x
⩾
2
1
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(
x
−
1
+
1
)
2
=
x
,
(\sqrt{x-1}+1)^{2}=x, \quad
(
x
−
1
+
1
)
2
=
x
,
where
x
≥
1
x \geq 1
x
≥
1
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Calcula el módulo de la resultante.
\newline
a)
9
m
9 \mathrm{~m}
9
m
\newline
b)
3
m
3 \mathrm{~m}
3
m
\newline
c)
4
m
4 \mathrm{~m}
4
m
\newline
d)
9
2
m
9 \sqrt{2} \mathrm{~m}
9
2
m
\newline
e)
18
m
18 \mathrm{~m}
18
m
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Y
=
(
x
+
5
)
−
4
Y=(x+5)-4
Y
=
(
x
+
5
)
−
4
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Find
x
x
x
.
\newline
−
x
−
8
+
14
x
=
−
34
-x - 8 + 14x = -34
−
x
−
8
+
14
x
=
−
34
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Required
\newline
0
/
/
8
0//8
0//8
\newline
\newline
Use the Quadratic Formula to solve the quadratic below
100
100
100
\newline
x
2
−
5
x
+
9
=
0
x^{2}-5x+9=0
x
2
−
5
x
+
9
=
0
\newline
Desmos Scientific Calculator
\newline
Show Your Work
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Use the Quadratic Formula to solve the quadratic below.
\newline
x
2
−
5
x
+
9
=
0
x^{2}-5 x+9=0
x
2
−
5
x
+
9
=
0
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3.4
y
−
5.2
−
3
y
=
2
3.4 y-5.2-3 y=2
3.4
y
−
5.2
−
3
y
=
2
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a (y- \frac{
1
1
1
}{
3
3
3
}) + \frac{x}{
2
2
2
} =
0
0
0
\quad
3
3
3
y - x
−
1
-1
−
1
=
0
0
0
Get tutor help
Evaluate.
\newline
100
−
10
(
25
−
5
)
\sqrt{100}-10(\sqrt{25}-5)
100
−
10
(
25
−
5
)
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Which expression is the result of factoring the expression below by taking out its greatest common factor?
\newline
12
x
2
+
8
=
?
12x^{2}+8=?
12
x
2
+
8
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
(
6
x
+
4
)
2(6x+4)
2
(
6
x
+
4
)
\newline
(B)
4
(
3
x
2
+
2
)
4(3x^{2}+2)
4
(
3
x
2
+
2
)
\newline
(C)
2
(
6
x
2
+
4
)
2(6x^{2}+4)
2
(
6
x
2
+
4
)
\newline
(D)
4
(
3
x
+
2
)
4(3x+2)
4
(
3
x
+
2
)
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rac{y}{
2
2
2
}- rac{
1
1
1
}{
5
5
5
}=
2
2
2
- rac{y}{
3
3
3
}
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Find the smallest number by which each of the following numbers should be multiplied so as to get a perfect square. Also, find the square root of the perfect square thus obtained. a)
3072
3072
3072
b)
4802
4802
4802
c)
1452
1452
1452
d)
845
845
845
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1
2
3
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