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Math Problems
Algebra 1
Evaluate integers raised to rational exponents
Verify
−
(
−
x
)
-(-x)
−
(
−
x
)
by taking
x
=
2
x=2
x
=
2
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d) Find the value of
15
+
[
(
−
25
)
+
(
−
18
)
]
15+[(-25)+(-18)]
15
+
[(
−
25
)
+
(
−
18
)]
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15
+
[
(
−
25
)
+
(
−
13
)
\sqrt{15}+[(-25)+(-13)
15
+
[(
−
25
)
+
(
−
13
)
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3
3
3
.
d
2
y
d
x
2
+
y
=
0
\frac{d^{2} y}{d x^{2}}+y=0
d
x
2
d
2
y
+
y
=
0
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Simplify the following expression completely:
(
4
v
2
)
(
2
v
9
)
(
7
v
4
)
\left(4 v^{2}\right)\left(2 v^{9}\right)\left(7 v^{4}\right)
(
4
v
2
)
(
2
v
9
)
(
7
v
4
)
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9
−
4
3
x
=
−
7
9-\frac{4}{3} x=-7
9
−
3
4
x
=
−
7
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Simplify the rational expression.
\newline
2
q
2
−
q
r
−
3
r
2
÷
2
q
2
−
9
q
r
+
9
r
2
2 q^{2}-q r-3 r^{2} \div 2 q^{2}-9 q r+9 r^{2}
2
q
2
−
q
r
−
3
r
2
÷
2
q
2
−
9
q
r
+
9
r
2
\newline
(
q
+
r
)
(
q
+
3
r
)
(q+r)(q+3 r)
(
q
+
r
)
(
q
+
3
r
)
\newline
Cannot be simplified
\newline
(
q
+
r
)
(
q
−
3
r
)
(q+r)(q-3 r)
(
q
+
r
)
(
q
−
3
r
)
\newline
(
q
−
r
)
(
q
+
3
r
)
(q-r)(q+3 r)
(
q
−
r
)
(
q
+
3
r
)
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(
−
5
x
2
)
(
3
x
4
)
\left(-5 x^{2}\right)\left(3 x^{4}\right)
(
−
5
x
2
)
(
3
x
4
)
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2
tan
(
x
)
1
+
tan
2
(
x
)
=
sen
(
2
x
)
\frac{2 \tan (x)}{1+\tan ^{2}(x)}=\operatorname{sen}(2 x)
1
+
t
a
n
2
(
x
)
2
t
a
n
(
x
)
=
sen
(
2
x
)
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y
=
x
2
+
x
+
1
[
2
,
3
]
y=x^{2}+x+1 \quad[2,3]
y
=
x
2
+
x
+
1
[
2
,
3
]
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3
2
−
(
−
3
2
)
3^2-(-3^2)
3
2
−
(
−
3
2
)
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сумму:
\newline
1
1
+
2
+
1
2
+
3
+
…
+
1
2006
+
2007
\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\ldots+\frac{1}{\sqrt{2006}+\sqrt{2007}}
1
+
2
1
+
2
+
3
1
+
…
+
2006
+
2007
1
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nalty: none
\newline
mpletely.
\newline
x
3
+
x
2
−
25
x
−
25
x^{3}+x^{2}-25 x-25
x
3
+
x
2
−
25
x
−
25
\newline
Attempt
1
1
1
out of
2
2
2
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20
−
(
11
−
x
)
20-(11-x)
20
−
(
11
−
x
)
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Faktor dari
Q
2
(
2
Q
+
217
)
Q^2(2Q+217)
Q
2
(
2
Q
+
217
)
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3
−
1
4
3-\frac{1}{4}
3
−
4
1
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37
37
37
.
2
a
x
2
+
a
x
a
2
x
3
−
x
⋅
a
x
+
1
2
x
+
1
=
\frac{2 a x^{2}+a x}{a^{2} x^{3}-x} \cdot \frac{a x+1}{2 x+1}=
a
2
x
3
−
x
2
a
x
2
+
a
x
⋅
2
x
+
1
a
x
+
1
=
?
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4
−
x
2
=
1
4-\frac{x}{2}=1
4
−
2
x
=
1
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values.
\newline
3
x
2
+
6
x
9
x
2
\frac{3 x^{2}+6 x}{9 x^{2}}
9
x
2
3
x
2
+
6
x
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V
=
1
3
π
3
2
⋅
3
V=\frac{1}{3} \pi 3^{2} \cdot 3
V
=
3
1
π
3
2
⋅
3
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−
(
2
3
)
x
3
+
7
x
2
+
3
x
-\left(\frac{2}{3}\right)x^3 + 7x^2 + 3x
−
(
3
2
)
x
3
+
7
x
2
+
3
x
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9
9
9
)
y
=
4
x
2
+
1
y=4 x^{2}+1
y
=
4
x
2
+
1
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Use the substitution
u
=
2
x
u=2^{x}
u
=
2
x
to solve the equation
3
(
2
x
−
1
)
=
2
x
+
4
3\left(2^{x-1}\right)=2^{x}+4
3
(
2
x
−
1
)
=
2
x
+
4
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ext{ exttt{
−
55
-55
−
55
-(
−
33
-33
−
33
−
22
-22
−
22
)}}
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(
1
−
(
1
(
1
+
x
)
24
)
x
)
\left(\frac{1-\left(\frac{1}{\left(1+x\right)^{24}}\right)}{x}\right)
⎝
⎛
x
1
−
(
(
1
+
x
)
24
1
)
⎠
⎞
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g
−
1
g
6
\frac{g^{-1}}{g^{6}}
g
6
g
−
1
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5
5
5
) rotation
9
0
∘
90^{\circ}
9
0
∘
clockwise about the origin
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Solve
−
22
7
+
(
−
3
12
)
-\frac{22}{7}+\left(\frac{-3}{12}\right)
−
7
22
+
(
12
−
3
)
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15
÷
5
6
15 \div \frac{5}{6}
15
÷
6
5
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y
=
5
2
x
−
19
8
y=\frac{5}{2} x-\frac{19}{8}
y
=
2
5
x
−
8
19
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lim
x
→
0
(
tan
(
x
)
2
x
)
\lim _{x \rightarrow 0}\left(\frac{\tan (x)}{2 x}\right)
lim
x
→
0
(
2
x
t
a
n
(
x
)
)
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16
16
16
.
(
4
x
3
6
x
)
2
\left(\frac{4 x^{3}}{6 x}\right)^{2}
(
6
x
4
x
3
)
2
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a)
5
4
×
5
−
2
5^{4} \times 5^{-2}
5
4
×
5
−
2
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(htälön
7
2
x
+
7
=
7
7^{2 x+7}=7
7
2
x
+
7
=
7
ratkaisu on
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3
+
6
+
9
+
.
.
.
+
3
n
=
3
n
(
n
+
1
)
2
3+6+9+...+3n=\frac{3n(n+1)}{2}
3
+
6
+
9
+
...
+
3
n
=
2
3
n
(
n
+
1
)
untuk semua
n
≥
1
n \geq 1
n
≥
1
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27
27
27
.
1
sin
2
s
−
cos
2
s
−
2
cos
s
−
sin
s
\frac{1}{\sin ^{2} s-\cos ^{2} s}-\frac{2}{\cos s-\sin s}
s
i
n
2
s
−
c
o
s
2
s
1
−
c
o
s
s
−
s
i
n
s
2
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Which of the following is equivalent to the expression
3
x
2
+
21
x
+
18
3 x^{2}+21 x+18
3
x
2
+
21
x
+
18
?
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12
12
12
.
y
=
2
−
4
3
x
y=2-\frac{4}{3} x
y
=
2
−
3
4
x
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8
(
−
6
+
x
)
=
−
112
8(-6+x)=-112
8
(
−
6
+
x
)
=
−
112
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Simplify.
\newline
5
−
x
×
2
5
2
y
12
5
−
x
3
\frac{5^{-x} \times 25^{2 y}}{125^{-\frac{x}{3}}}
12
5
−
3
x
5
−
x
×
2
5
2
y
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Simplify.
\newline
9
2
y
×
3
y
2
7
−
y
3
\frac{9^{2 y} \times 3^{y}}{27^{-\frac{y}{3}}}
2
7
−
3
y
9
2
y
×
3
y
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Simplify.
\newline
(
8
x
5
y
−
1
4
y
8
)
\left(\frac{8x^{5}y^{-1}}{4y^{8}}\right)
(
4
y
8
8
x
5
y
−
1
)
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Simplify.
\newline
9
9
−
4
/
5
\frac{9}{9^{-4 / 5}}
9
−
4/5
9
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∫
sin
4
(
5
x
)
d
x
\int \sin ^{4}(5 x) d x
∫
sin
4
(
5
x
)
d
x
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Find the y-intercept of the line
y
=
1
4
x
+
1
y=\dfrac{1}{4}x+1
y
=
4
1
x
+
1
.
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Simplify.
\newline
(
−
2
x
4
y
5
)
3
\left(-2 x^{4} y^{5}\right)^{3}
(
−
2
x
4
y
5
)
3
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Simplify:
\newline
−
2
7
×
(
−
3
5
8
)
-\frac{2}{7} \times\left(-3 \frac{5}{8}\right)
−
7
2
×
(
−
3
8
5
)
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Simplify:
\newline
x
8
x
3
\frac{x^{8}}{x^{3}}
x
3
x
8
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50
÷
(
−
5
)
50\div(-5)
50
÷
(
−
5
)
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v)
a
+
4
a
2
+
3
a
−
4
\frac{a+4}{a^{2}+3 a-4}
a
2
+
3
a
−
4
a
+
4
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