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Math Problems
Precalculus
Multiply and divide complex numbers
Solve for
y
y
y
.
\newline
4
log
5
(
y
+
2
)
=
8
4 \, \log_5 (y+2) = 8
4
lo
g
5
(
y
+
2
)
=
8
\newline
Write your answer in simplest form.
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Solve for
x
x
x
.
\newline
3
log
2
(
x
−
4
)
=
9
3 \, \log_2 (x-4) = 9
3
lo
g
2
(
x
−
4
)
=
9
\newline
Write your answer in simplest form.
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Solve the inequality and graph the solution.
\newline
4
g
−
2
5
(
5
g
−
10
)
≥
10
4g - \frac{2}{5}(5g - 10) \geq 10
4
g
−
5
2
(
5
g
−
10
)
≥
10
\newline
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
3
x
+
3
2
(
4
x
−
10
)
=
3
−
3
(
−
x
+
6
)
-3 x+\frac{3}{2}(4 x-10)=3-3(-x+6)
−
3
x
+
2
3
(
4
x
−
10
)
=
3
−
3
(
−
x
+
6
)
\newline
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(
4
4
4
)
(
1
3
+
5
7
+
1
2
)
×
3
13
\left(\frac{1}{3}+\frac{5}{7}+\frac{1}{2}\right) \times \frac{3}{13}
(
3
1
+
7
5
+
2
1
)
×
13
3
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Work out
5
k
2
−
k
+
1
3
\frac{5 k}{2}-\frac{k+1}{3}
2
5
k
−
3
k
+
1
\newline
Give your answer as a single fraction in its simplest form.
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Find the
y
y
y
-coordinate of the
y
y
y
-intercept of the polynomial function defined below.
\newline
f
(
x
)
=
x
(
x
−
5
)
(
x
−
3
)
(
x
−
6
)
f(x)=x(x-5)(x-3)(x-6)
f
(
x
)
=
x
(
x
−
5
)
(
x
−
3
)
(
x
−
6
)
\newline
Answer:
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Find the quotient and remainder using polynomial long division.
\newline
(
2
x
3
−
12
x
2
+
7
x
−
28
)
/
(
2
x
2
+
5
)
(2x^{3}-12x^{2}+7x-28)/(2x^{2}+5)
(
2
x
3
−
12
x
2
+
7
x
−
28
)
/
(
2
x
2
+
5
)
\newline
The quotient is
\newline
The remainder is
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Convert
29
10
\frac{29}{10}
10
29
into a mixed number.
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Convert
8
3
4
8 \frac{3}{4}
8
4
3
into an improper fraction.
\newline
Answer:
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