Answer: -4y^(2)+12y-8
Step-by-step explanation: Combine like terms
Answer:
For 1,000 bricks, the amount charged will be the same
Step-by-step explanation:
Let the number of bricks for which they charge the same amount be $x
Thus;
The total cost from the first company will
be;
250 + 0.2(x) = 250 + 0.2x
The second will charge;
400 + 0.05(x) = 400 + 0.05x
Since the amount charged will be equal at x bricks, we need to equate both;
400 + 0.05x = 250 + 0.2x
400-250 = 0.2x-0.05x
150 = 0.15x
x = 150/0.15
x = 1,000
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
In short, the average rate of change is plainly the slope of the set, so we can pick any two points off there, say 2, 35 and 10, 115,
kyle is 18 and megan is 9, because 9 + 18 = 27 and 27 / 3 = 9. hope this helps :)
