Answer:
25
Step-by-step explanation:
Since y varies inversely with x, the relation between y and x will be:
![y \propto \frac{1}{x}](https://tex.z-dn.net/?f=y%20%5Cpropto%20%5Cfrac%7B1%7D%7Bx%7D)
Introducing the proportionality constant, we can write:
![y = \frac{k}{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bk%7D%7Bx%7D)
Using the first set of given values of x and y, we get:
![50=\frac{k}{10}\\\\k = 500](https://tex.z-dn.net/?f=50%3D%5Cfrac%7Bk%7D%7B10%7D%5C%5C%5C%5Ck%20%3D%20500)
This means, the relation between y and x is:
![y = \frac{500}{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B500%7D%7Bx%7D)
We have to find y if x = 20. Using this value in above equation, we get:
![y=\frac{500}{20} \\\\ y = 25](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B500%7D%7B20%7D%20%5C%5C%5C%5C%20y%20%3D%2025)
Thus y would be 25 if x is 20.
Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).
434÷3≠ 144.66 That is the answer using calculator.
Answer:
x>7
Step-by-step explanation:
-9x + 4 + 12 + 18x >79
9x+16>79
9x>79 - 16
9x > 63
x>7
Answer:
-13x+10
Step-by-step explanation:
(4x+5)(x-2)
Multiply each term in the first parenthesis by each term in the second (foil)
Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)
When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2
Step 2: Calculate product
4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like
)
+4x⋅-2-5x-5⋅-2
+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)
-8x-5x-5⋅-2
-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)
-8x-5x+10
Step 3: collect like terms
-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)
-13x+10 is the most simplified so it should be your final answer