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3 years ago

Rewrite the following equation in exponential form log3 3=1

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Answer: (X) = y => b^y = x

use that equation to get the exponential form

Step-by-step explanation:

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The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years,

Andreyy89

Y = 500(1 + r)^x; where r is the rate and x is the number of years.
500(1 + r)^2 = 551.25
(1 + r)^2 = 551.25/500 = 1.1025
1 + r = sqrt(1.1025) = 1.05

Therefore, the equation that represents y, the value of the item after x years is
y = 500(1.05)^x

7 0

3 years ago

Expand and simplify (2x−12) ^2

lubasha [3.4K]

Answer:

$\boxed{4x^{2} - 48x + 144}$

Step-by-step explanation:

Given expression:

(2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

$\rightarrowtail (2x - 12)^{2}$

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}$

Now, simplify the expression.

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}$

$\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)$

$\rightarrowtail \boxed{4x^{2} - 48x + 144}$

4 0

2 years ago

benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to b

worty [1.4K]

Answer:

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

5 0

2 years ago

2x(27x+5) Evaluate this please

igomit [66]

Answer:

54x^2 + 10x

Step-by-step explanation:

6 0

2 years ago

I've been working on the same 5 questions for 3 hours and i give up im doing anything i can at this point

zaharov [31]

Step-by-step explanation:

$v = \pi \times r {}^{2} \times h \div 3 \\ = \pi \times 2 {}^{2} \times 10 \div 3 \\ = 41.8$

7 0

2 years ago

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