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PilotLPTM [1.2K]
3 years ago
15

Rewrite log(17a•2b) as a sum

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

log( 17a . 2b ) =

log( 17 × a × 2 × b ) =

log( 17 ) + log( a ) + log( 2 ) + log ( b )

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Genesis would like to join a Book Club. She needs to pay $12.00 for entrance into the book
77julia77 [94]

Answer:

An equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12

Step-by-step explanation:

Given that Genesis needs to pay $12.00 for entrance into the book club.

Per month fee = $20.00

We know that the slope-intercept form of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

As the rate of change is also called the slope.

The rate of $20.00 per month would be termed as the slope = m = 20

One time fee = $12.00, meaning the y-intercept = b = 12

Thus, the equation becomes

y = mx+b

  • y represents the total cost
  • x represents the duration
  • m represents the rate of change = m = 20
  • b represents the y-intercept = b = 12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12
5 0
2 years ago
Madison likes to go to her local hair salon because she is a premier member there. Her membership fee costs $80.00 and that memb
OlgaM077 [116]

By evaluating a linear equation, we can complete the table:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

<h3>How to fill the table?</h3>

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

c(x) = $80.00 + $26.00*x

So we have a linear equation that models the total cost.

Evaluating the equation in the values of the table we will get the other values.

c(2) = $80 + $26*2 = $132

c(4) = $80 + $26*4 = $184

c(5) = $80 + $26*5 = $210

c(8) = $80 + $26*8 = $288

Then the complete table is:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
Find the slope of the given points (2,5) and (8,-3) and write the equation​
max2010maxim [7]

Answer:

Slope = \frac{-4}{3}

4x + 3y = 23

Step-by-step explanation:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}

The equation:

\frac{y-y_{1} }{x-x_{1} }=m   m is the slope

y-y_{1}=m(x-x_{1} )

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)  

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23

7 0
3 years ago
Is 12.89 irrational
STatiana [176]

No.  It's the ratio of  1,289  to  100 .

Also, it can be written as a fraction with whole numbers
on top and bottom, like this:    1289 / 100 .

Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar.  (You did that.)

Any one of these three facts makes it a rational number.

7 0
3 years ago
Mr. Rodriguez bought a supply of 20 Reams of printer paper. Each Ream Contains 500 sheets of paper. How many sheets of printer p
Umnica [9.8K]
Multiply its 10'000 I hope this helps
4 0
3 years ago
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