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Juliette [100K]
3 years ago
12

Expand each logarithm using the properties of logarithms.

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A.  = logb (3/7)^1/2
      = logb  3^1/2 - logb 7^1/2
      = 1/2(logb 3 - logb 7)

b.  =  log 7x^3 + log y^5
      = log 7 + log x^3 + log y^5
      = log 7 + 3 log x + 5 log y
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-7 = -1 + x/3, solve and explain with an algebraic property
k0ka [10]
-7 = -1 +  \frac{x}{3}

Multiply both sides by 3 :

-3*1 + 3* \frac{x}{3}  = -3*7

Refine:

x - 3 = -21

x = - 21 + 3

x = - 18

hope this helps!.
4 0
3 years ago
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Tell me how many squares to shade in for each fraction and the answer in 60ths. thx!!
DENIUS [597]
8/12 simplified to 2/3
7 0
3 years ago
Both questions plzzz thanks
andrew11 [14]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

1) From the information given,

P = cost of gym = $2200

R = 6%

T = 3 years

I = (2200 × 6 × 3)/100 = $395

The total amount that he would pay after 3 years is

2200 + 395 = $2596

If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is

80 × 36 = 2880

Therefore, paying for the gym would cost more. He should take the loan.

2) if she takes the loan, the interest would be

I = (18000 × 7.5 × 5)/100 = $6750

The total amount that she would pay back after 5 years is

6750 + 18000 = $24750

Since the value that would be added to her house is $25000, therefore, she should buy it.

6 0
3 years ago
Why is it helpful to rewrite inequalities
mr_godi [17]

Answer:

  that puts the solution in the form ...

     variable is ...

Step-by-step explanation:

It isn't always.

__

Often, we like to have a solution be in the form ...

  variable is ...

So, for an inequality, that puts the variable on the left:

  x > 3

  y < 27

__

Personally, I like to see the answer in a form that has the variable and its values in the same relation as on a number line. This means, my preferred inequality symbols are < or ≤, since those have the smaller numbers on the left. I would write the first example above as ...

  3 < x

showing that the shaded portion of the number line (representing possible values of the variable) is to the right of the open circle at 3. For me, it is more mental effort to translate x > 3 to the same image.

__

The forms we choose to use are all about making communication as easy as possible.

7 0
3 years ago
Question 1 GIVING BRAINLIESTT!!!!!!!!
Rama09 [41]
Answer is (-1.5,5)
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)
3 0
2 years ago
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