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Vaselesa [24]
3 years ago
7

As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

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3 years ago
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Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.
AnnyKZ [126]

Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4

6 0
3 years ago
Marisol noticed that she does not have a common factor.
konstantin123 [22]

Answer:  option 2 describes best

Step-by-step explanation:Given Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.  

Step 1: (6x3 – 22x2) – (9x + 33)

Step 2: 2x2(3x – 11) – 3(3x + 11)

Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?

Marisol should realize that her work shows that the polynomial is prime.

Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).

Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).

Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).

According to question Marisol grouped the terms and has done factorisation of the given polynomial 6x^3 – 22x^2 – 9x + 33.

In step 1 she has written as (6x^3 – 22x^2) – (9x + 33)

Marisol has to go to step 1 in order to correct her mistake. She has to group the expression as (6x^3 – 22x^2) – (9x – 33) so that she will be able to get the expression as

6x^3 – 22x^2 – 9x + 33 after opening the brackets.

4 0
3 years ago
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Which Inequality reflects the verbal sentence: "The sum of a and b is at most 50!"
aev [14]
A+b is less than or equal to 50
6 0
3 years ago
Enter an equation that expresses y in terms of x.<br> x: 20, 30, 40, 50<br> y: 18, 28, 38, 48​
zheka24 [161]

Answer:

y=x-2

Step-by-step explanation:

y=x-2

y=20-2=18

7 0
4 years ago
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