It depends on the percentage rate of said tax... is the tax rate 5%? 20%?
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
<h3>Conner work is correct. Jana work is wrong</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
<em><u>Conner and Jana are multiplying:</u></em>
Given Conner's work is:
We have to check if this work is correct
Yes, Conner work is correct
From given,
Use the following law of exponent
Therefore,
<em><u>Given Jana's work is:</u></em>
This is incorrect
The powers of same base has to be added. But here, powers are multiplied which is wrong
20% off means u r paying 80%
0.80(74) = 59.20 (without tax)
sales tax is 6.25%...
59.20 + 0.0625(59.20) = 59.20 + 3.70 = $ 62.90 <==with tax included
