Answer:
- 2x - 5
Step-by-step explanation:
2x - (5 + 4x)
2x - 5 - 4x
- 2x - 5
Yes, a ratio represents a proportion.
Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:
![12x + 7](https://tex.z-dn.net/?f=12x%20%2B%207%20%3C-11)
We subtract 7 from both sides of the inequality:
![12x](https://tex.z-dn.net/?f=12x%20%3C-11-7%5C%5C12x%20%3C-18)
We divide between 12 on both sides of the inequality:
![x](https://tex.z-dn.net/?f=x%20%3C-%20%5Cfrac%20%7B18%7D%20%7B12%7D%5C%5Cx%20%3C-%20%5Cfrac%20%7B9%7D%20%7B6%7D%5C%5Cx%20%3C-%20%5Cfrac%20%7B3%7D%20%7B2%7D)
Thus, the solution is given by all values of x less than![- \frac {3} {2}.](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B3%7D%20%7B2%7D.)
Inequality 2:
![5x-8> 40](https://tex.z-dn.net/?f=5x-8%3E%2040)
We add 8 to both sides of the inequality:
![5x> 40 + 8\\5x> 48](https://tex.z-dn.net/?f=5x%3E%2040%20%2B%208%5C%5C5x%3E%2048)
We divide between 5 on both sides of the inequality:
![x> \frac {48} {5}](https://tex.z-dn.net/?f=x%3E%20%5Cfrac%20%7B48%7D%20%7B5%7D)
Thus, the solution is given by all values of x greater than![\frac {48} {5}.](https://tex.z-dn.net/?f=%5Cfrac%20%7B48%7D%20%7B5%7D.)
The solution set is given by:
(-∞,
) U (
,∞)
Answer:
(-∞,
) U (
,∞)
2 mi
The bigger triangle is 3 times larger than the smaller one
I’m pretty sure it’s this