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natima [27]
4 years ago
6

Write logarithmic expression as a single logarithm. (1/3) log 8 + log 6 - log 4

Mathematics
1 answer:
marusya05 [52]4 years ago
7 0

Answer:

log3

Step-by-step explanation:

\frac{1}{3} log8 + log6 - log4 \\  = log {8}^{ \frac{1}{3} }  + log( \frac{6}{4} ) \\  = log2 +  log( \frac{3}{2} ) \\  = log(2 \times  \frac{3}{2} ) \\  = log3

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What value of x makes this equation true?<br> 12x - 15 = 6 - 3x<br> 7/3<br> 5/7<br> 3/7<br> 7/5
barxatty [35]
If you solve for x by getting it on one side, it becomes 7/5.
5 0
3 years ago
Find the equation of the linear function passing through (2,3) and (5,12)
Elis [28]

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)

<em><u>Solution:</u></em>

Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)

The formula y = mx + b is said to be a linear function

Where "m" is the slope of line and "b" is the y - intercept

Let us first find the slope of line

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=2 ; y_{1}=3 ; x_{2}=5 ; y_{2}=12

Substituting values we get,

m=\frac{12-3}{5-2}=\frac{9}{3}=3

Thus slope of line is m = 3

To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b

3 = 3(2) + b

3 = 6 + b

b = 3 - 6

b = -3

Thus the required equation of linear function is:

Substitute m = 3 and b = -3 in formula

y = mx + b

y = 3x - 3

Thus the equation of linear function is found

6 0
3 years ago
solve the following pair of linear equation 2x+3y=5 , 7x-5y=2 has a unique solution if yes find the solution
slava [35]

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 5 → (1)

7x - 5y = 2 → (2)

Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term

10x + 15y = 25 → (3)

21x - 15y = 6 → (4)

Add (3) and (4) term by term to eliminate y

31x = 31 ( divide both sides by 31 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(1) + 3y = 5

2 + 3y = 5 ( subtract 2 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

Solution is (1, 1 )

8 0
4 years ago
Read 2 more answers
Caleb made a scale drawing of a neighborhood park. The scale of the drawing was
WITCHER [35]

Answer:

2:1 =36mm: x m

2/1 = 36mm/ m......(Criss cross)

36mm x 1M/2mm = 18 Meter

5 0
4 years ago
What is the angle of 3?
dalvyx [7]

Answer:

the angle of 3 is 50

Step-by-step explanation:

What you would do is add 90 to 40 which would get you 130. Then you will subtract 130 from 180 which gets you 50 for angle 1. Since angle 1 is across from angle 3, angle 3 will also be 50.

7 0
3 years ago
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