Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135
5·x + 20 = 135
5·x = 115
x = 23
So the sequence is
23, 25, 27, 29, 31
The second number is 25.
Do you agree?
<h3>
Answer: (x+1)^3*(x-2)</h3>
Explanation:
It's probably not obvious, but the squiggly portion through the x intercept x = -1 is a triple root. This is because this portion resembles a cubic graph. If instead it was a more straightish line through this root, then we'd have a single root.
So because x = -1 is a triple root, this means the factor (x+1) has the exponent 3. We have the factor (x+1)^3
The other factor is (x-2) from x = 2 being the other root.
All together we have (x+1)^3*(x-2) as the complete factorization. The leading coefficient is 1 to have this graph open upward. Or put another way, since the end behavior is going to positive infinity for both endpoints, the leading coefficient must be positive.
Answer:
c
Step-by-step explanation:
if you follow the points, this is the only answer choice that doesnt repeat any line segments
1. Let <em>y</em> represent the amount of money earned, and <em>x</em> the number of cars they wash. Then
<em>y</em> = 5<em>x</em>
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that <em>x</em> car washes generate $5<em>x</em>.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
<em>y</em> = 5<em>x</em> - 75
4. When <em>x</em> = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for <em>x</em> :
5<em>x</em> - 75 = 0
5<em>x</em> = 75
<em>x</em> = 75/5
<em>x</em> = 15
So the team has to wash at least 15 cars to break even.
Use the Pythagorean Theorem. If you find the sum of the two legs squared (81+144), you get 225. Take the square root and you get 15. Now add 9+12+15. The perimeter is the sum: 36.
