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3 years ago

7

Solve the equation 1/3m+6m-9/3m=3m-3/4m

1 answer:

vekshin13 years ago

3 0

M
=
0

O
r

m
=
23
15

Explanation:
1
3
m
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
1
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
−
8
+
6
m
3
m
=
3
m
−
3
4
m

⇒
(
−
8
+
6
m
)
×
4
m
=
(
3
m
−
3
)
×
3
m

⇒
−
32
m
+
24
m
2
=
9
m
2
−
9
m

⇒
−
32
m
+
24
m
2
−
9
m
2
+
9
m
=
0

⇒
15
m
2
−
23
m
=
0

⇒
m
(
15
m
−
23
)
=
0

m
=
0

Or

15
m
−
23
=
0
⇒
15
m
=
23
⇒
m
=
23
15

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4 0

3 years ago

Solve <br>In 2x + In 2=0

irakobra [83]

Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Step-by-step explanation:

We need to solve: $ln(2x)+ln(2)=0$

Solving:

$ln(2x)+ln(2)=0$

Adding -ln(2) on both sides:

$ln(2x)+ln(2)-ln(2)=0-ln(2)$

$ln(2x)=-ln(2)$

Using logarithmic rule: if $log_a b =c\,\,then\,\, b=a^c$

So,

$2x=e^{-ln(2)}$

Simplifying:

$2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}$

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4 0

3 years ago

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raketka [301]

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Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)

AysviL [449]

Answer:

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Step-by-step explanation:

An expression is said to be distributive when:

$(a+b)c=a \cdot c+b \cdot c$

Given the algebraic expression: (7 + a)3

Applying the distributive property

$(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a$

An equivalent expression is 21+3a.

The correct option is B

5 0

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g100num [7]

Answer:

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