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ikadub [295]
1 year ago
7

Question 7(Multiple Choice)

Mathematics
2 answers:
aalyn [17]1 year ago
6 0

Answer:

C.) log_2(\frac{x^3z^2}{y^4})

Step-by-step explanation:

To find the answer, you need to simplify the expression. To do so, you must combine the logs. You can combine the logs because they all have the same subscript (2).

3 log_2x - 4log_2y + 2log_2z                           <----- Given expression

log_2x^3-log_2y^4+log_2z^2                            <----- Raise coefficients to variables

log_2x^3+log_2z^2-log_2y^4                            <----- Rearrange

log_2(x^3z^2)-log_2y^4                                    <----- Multiply added logs

log_2(\frac{x^3z^2}{y^4})                                                  <------ Divide subtracted log

hram777 [196]1 year ago
4 0
<h3>3 ㏒₂ x - 4 ㏒₂ y + 2 ㏒₂ z</h3>

Express the multiplication of a logarithm number of an expression as the logarithm of the power of the expression.

<h3>㏒₂ x³ - ㏒₂ y⁴ + ㏒₂ z²</h3>

Take the product of the arguments

                         \red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \  Log_{2} \frac{x^{3}z^{2}  }{y^{4} }  } }}}}

Therefore, the correct option is alternative "C".

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4-(2y-1)=2(5y+9)+y please help quick
stich3 [128]

Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

=

13

−13

y=−1

 Answer: y =-1

7 0
2 years ago
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Question 10 of 10
dangina [55]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
The sum of two numbers is 35.
LUCKY_DIMON [66]

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

8 0
3 years ago
A bag contains 6 red marbles, 2 blue marbles, and 1 green marble. What is the
SSSSS [86.1K]

We have 1 green and 8 non-green.  

We get a probability of 8/9 of a non-green for the first marble and a probably of 7/8 for the second being non green, so

p = (8/9)*(7/8) = 7/9

Answer: 7/9

6 0
2 years ago
Jenny drove her tractor down a row of her cornfield. She drove at constant velocity of 34metersperminute down the row. The row w
tamaranim1 [39]

Answer:

5 mins

Step-by-step explanation:

680/4

=170 meters (quarter of 680m)

170/34

=5 mins

7 0
2 years ago
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