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1 year ago

For any positive numbers a, b, and d, with b 1,

Mathematics

1 answer:

Vitek1552 [10]1 year ago

8 0

Answer:

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( $\frac{x}{y}$ )

then

$log_{b}$ ( $\frac{a}{d}$ ) = $log_{b}$ a - $log_{b}$ d

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The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pai

olasank [31]

Answer:

Conjecture : 2xy / ( x + y ) ≤ √xy

Step-by-step explanation:

Harmonic mean of x and y = 2xy/( x + y )

Formulate a conjecture about their relative sizes

we will achieve this by computing harmonic and geometric means

Geometric mean = √xy

harmonic mean = 2xy/( x + y )

Conjecture : 2xy / ( x + y ) ≤ √xy

attached below is the proof

7 0

2 years ago

Martha works in a toy shop and earns $44 Per day. She earns an extra $2 for each toy she sells. If Martha wants to earn at least

Nikitich [7]

Answer: 18

Step-by-step explanation:

80 - 44 = 36

36 / 2 = 18

6 0

3 years ago

Solve 6^x=1,296 X=__________a0

Troyanec [42]

Answer:

x=4

Step-by-step explanation:

6^x = 1296

Take the log base 6 on each side

log6(6^x) = log6(1296)

Rewrite 1296 as 6^4

x = log 6(6^4)

We know that log( a^b) = b log (a)

x = 4 log6(6)

We know that loga(a) =1

x = 4 *a

x =4

5 0

2 years ago

Read 2 more answers

2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w

frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0

3 years ago

Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)

11111nata11111 [884]

Answer:

4x² - 6x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

Step 2: Simplify

[Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
Combine like terms (y²): 4x² - 3x - 2x - x
Combine like terms (x): 4x² - 6x

4 0

3 years ago