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Reil [10]
4 years ago
10

Rewrite the following using one or more properties of logarithms and evaluate.

Mathematics
1 answer:
marusya05 [52]4 years ago
8 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\\\ \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ log\left( \cfrac{1}{10^{-3}} \right)+log(10^4)\implies log(10^3)+log(10^4)\implies log(10^3\cdot 10^4) \\\\\\ log(10^{3+4})\implies log(10^7)\implies log_{10}(10^7)\implies 7

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• 6x – 15y = 15<br> y=2 x - 1<br> 5
yuradex [85]

Answer:

Slope=  

2.000

0.800

​  

=0.400

x−intercept=  

2 /5

​  

=2.50000

y−intercept=  

−5 /5

​  

=  

−1

1

​  

=−1.00000

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 15y - 15  =   3 • (2x - 5y - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x-5y-5  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-5y-5  = 0 and calculate its properties

8 0
4 years ago
Please help me quick!!
Aneli [31]

Answer:

umm sorry i can't I'm still finding hacker so please like and star please

4 0
3 years ago
B-3±6-2b i need it know pls help me
aleksklad [387]
Answer : b=3

Hope this helps have a great day! :)
3 0
3 years ago
The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping
astra-53 [7]

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

5 0
3 years ago
HELP!! WITH THESES MATH QUESTION! WILL MARK BRAINLIEST 70 POINTS!!! PLEASE HELP
Cloud [144]

1. Let hardcover books = X

Paperback books would be 4x -3 ( 3 less than 4 times)

Now you have:

X + 4x-3 = 447

Simplify:

5x - 3 = 447

Add 3 to each side:

5x = 450

Divide both sides by 5:

x = 450/5

x = 90

He has 90 hardcover books.

2. 300 miles / 25 miles per gallon = 12 gallons of gas.

12 gallons x $$ per gallon = $48 dollars

3. Subtract base pay from total:

1916 - 800 = 1,116 worth of commissions.

Divide commissions by percentage:

1116 / 0.09 = $12,400 total sales.

4.

Find the median of the heights: 65-50 = 15. 15/2 = 7.5

Median = 50+7.5 = 57.5

The equation would be |h-57.5| < 7.5

6 0
3 years ago
Read 2 more answers
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