Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
<u>The correct answer is D. {3, 5, 8, 14, 16}</u>
Step-by-step explanation:
A is incorrect because 10 is not included in the original data set denoted by Mia.
B is also incorrect because 2 and 4 are not included in the original data set denoted by Mia.
Finally, C is also incorrect because 7 is not included in the original data set denoted by Mia.
<u>The only option that has all its values from the the original data set denoted by Mia is D.</u>
So basically we just need to multiply the total price × one-tenth and from there subtract the answer of that from the original total price.
$1,233.65 is the cost of the tax, title, and dealer preparation charges, so now we subtract that from the total price
Answer:
The price of the motorcycle before the extra charges is $11,102.85
2^4x-2^3x-3
2^3=2x2x2
Which equals 8