5x+4<54
subtract 4 from both sides
5x<50
divide both sides by 5
x<10
Split the second term in 6x^2 + x - 2 into two terms
6x^3 + 4x - 3x - 2/3x^2 + 14x + 8
Factor out the common terms in the first two term, then in the last two terms
2x(3x + 2) - (3x + 2)/3x^2 + 14x + 8
Factor out the common term 3x + 2
(3x + 2)(2x - 1)/3x^2 + 14x + 8
Split the second term in 3x^2 + 14x + 8 into two terms
(3x + 2)(2x - 1)/3x^2 + 12x + 2x + 8
Factor out common terms in the first two terms, then in the last two terms
(3x + 2)(2x - 1)/3x(x + 4) + 2(x + 4)
Factor out the common term x + 4
(3x + 2)(2x - 1)/(x + 4)(3x + 2)
Cancel 3x + 2
<u>2x - 1/x + 4</u>
The answer to your problem is 6.3% because 2+2 is 4 and 4+2 is 6 and 6+.3 is 6.3
The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.
<h3>What is sales tax?</h3>
A sales tax is a consumption tax imposed by the government on the sale of goods and services
In other words, sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at a retail
A laptop has a listed price of $699.99 before tax.
The sales tax rate is 6.75%.
Total cost of the laptop with sales tax included can be calculated as follows:
sale tax = 6.75% of 699.99
sale tax = 6.75 / 100 × 699.99
sale tax = 4724.9325 / 100
sale tax = 47.249325 dollars
Therefore,
Total cost of the laptop with sales tax included = 47.249325 + 699.99 = 747.239325 dollars = 747.24 dollars.
learn more on sales tax here: brainly.com/question/17236543
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In this particular item, we are to derive an equation that would best represent the given data with regards to the diameters of certain circles.
From the data, it can be observed that the first term is 2.5 cm and that the difference of the first two terms is 0.6 cm. The difference of the succeeding terms is also 0.6 cm. This denotes that the given sequence is arithmetic with the first term equal to 2.5 cm and the common difference which is equal to 0.6 cm. Thus, given with the variables that are to be used in this item, the equation that would best represent the given is,
f(n) = 2.5 + (n - 1)(0.6)
