Answer:
The function input is -20 when the output is 25
Step-by-step explanation:
we have
![y=-75-5x](https://tex.z-dn.net/?f=y%3D-75-5x)
where
y is the dependent variable or output
x is the independent variable or input
If the output is 25
then
y=25
substitute
![25=-75-5x](https://tex.z-dn.net/?f=25%3D-75-5x)
Solve for the function input is the same that solve for x
Isolate the variable x
Adds 5x both sides
![25+5x=-75-5x+5x](https://tex.z-dn.net/?f=25%2B5x%3D-75-5x%2B5x)
![25+5x=-75](https://tex.z-dn.net/?f=25%2B5x%3D-75)
subtract 25 both sides
![25+5x-25=-75-25](https://tex.z-dn.net/?f=25%2B5x-25%3D-75-25)
![5x=-100](https://tex.z-dn.net/?f=5x%3D-100)
Divide by 5 both sides
![x=-20](https://tex.z-dn.net/?f=x%3D-20)
therefore
The function input is -20 when the output is 25
Answer:
15 units
Step-by-step explanation:
![distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\](https://tex.z-dn.net/?f=distance%20formula%20%3D%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%20%29%5E%7B2%7D%20%2B%20%28y_2%20-y1%29%5E%7B2%7D%20%7D%20%7D%20%5C%5C)
![x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20-2%5C%5Cx_%7B2%7D%20%3D%20-14%5C%5Cy_%7B1%7D%20%3D%20-5%5C%5Cy_%7B2%7D%20%3D%204)
![distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units](https://tex.z-dn.net/?f=distance%5C%5C%3D%20%5Csqrt%7B%28-14%20-%20-2%29%5E%7B2%7D%20%2B%20%284%20-%20-5%29%5E2%20%7D%20%5C%5C%3D%20%5Csqrt%7B%28-12%29%5E2%20%2B%20%289%29%5E2%7D%20%5C%5C%3D%20%5Csqrt%7B144%20%2B%2081%7D%20%20%5C%5C%3D%20%5Csqrt%7B225%7D%20%5C%5C%3D%2015%5C%5CThus%20distance%20between%20the%20two%20points%20%28-2%2C-5%29%20and%20%28-14%2C4%29%20%20%3D%2015%20units)
Hope it helps....
<h3>Isolate y on both equations then equate </h3>
- x²-3x+2y=-4
- 2y=-x²+3x-4
- y=-x²/2+3/2x-2
Now you can equate it with second one to get x
Answer:
I think its 600
Step-by-step explanation:
Because each minute diego types 40 words
So that means that 15 x40= 600