Answer:
65
Step-by-step explanation:
let the son's age be x then the man's age is 5x
In 13 years
son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son
5x + 13 = 3(x + 13)
5x + 13 = 3x + 39 ( subtract 3x from both sides )
2x + 13 = 39 ( subtract 13 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 ← son's present age
5x = 5 × 13 = 65 ← man's present age
Your plane is 3x-y+4z=32 and you want to know when it crosses the z-axis or in other words intersects it. Along the z axis only z changes, additionally it goes through the origin (0,0,0).
So we can insert x=y=0 into the plane to calculate the point along the z-axis where it intersects the plane:
3x-y+4z=32
insert 0s:
4z=32
z=8
so the solution plane intersects the z-axis at (0,0,8)
Answer: x>8.
Step-by-step explanation:
![14-2*(x+1) < -4\\ 14-2x-2 < -4\\12-2x < -4\\12-2x+4 < 0\\16-2x < 0\\16-2x+2x < 0+2x\\16 < 2x\\Divide \ both\ sides\ of \ the\ equation \ by \ 2:\\8 < x.](https://tex.z-dn.net/?f=14-2%2A%28x%2B1%29%20%3C%20-4%5C%5C%2014-2x-2%20%3C%20-4%5C%5C12-2x%20%3C%20-4%5C%5C12-2x%2B4%20%3C%200%5C%5C16-2x%20%3C%200%5C%5C16-2x%2B2x%20%3C%200%2B2x%5C%5C16%20%3C%202x%5C%5CDivide%20%5C%20both%5C%20%20sides%5C%20%20of%20%5C%20the%5C%20%20equation%20%5C%20by%20%5C%202%3A%5C%5C8%20%3C%20x.)
The answer to this question is 0.05
Answer:
slope = (4-(-3))/(-3-2)=7/-5=-![\frac{7}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B5%7D)
Step-by-step explanation: