K=Dy/Dx=(8-2)/(0-2)=6/(-2)=-3
2/6 divided by 4/12
First, make 2/6 have a denominator of 12 to complement the fraction 4/12
2/6=4/12
4/12 divided by 4/12 is 1
So, 1 would be your answer.
Hope I helped!
440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze
<em><u>Solution:</u></em>
Let "x" be the gallons of 80 % antifreeze added
Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze
Final mixture is x + 80
Therefore, we can frame a equation as:
"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze
Thus, we get,
x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %
Thus 440 gallons of 80 % antifreeze solution must be mixed
Answer:
f(x) = -1(x+1)² + 9
Step-by-step explanation:
f(x) = -x² - 2x + 8
This is a down-opening parabola. Put the equation into vertex form. The y-coordinate of the vertex is the maximum.
factor out the leading coefficient
f(x) = -1(x²+2x) + 8
Complete the square
coefficient of x term: 2
divide in half: 1
square it: 1²
use 1² to complete the square:
f(x) = -1(x²+2x+1²) + 1² + 8
f(x) = -1(x+1)² + 9
vertex (-1,9)
maximum value of f(x) = 9
These are independent so probability of one does not affect the other.
1. P = 1/8 * 1/6 = 1/48
2. P=1/8 * 3/6 = 3/48 or 1/16
3. P= 4/8 * 1/6 = 4/48 or 1/12
4. P= 4/8 * 3/6 = 12/48 or 1/4
5. P= 5/8 * 2/6 = 10/48 or 5/24
6. P= 4/8 * 2/6 = 8/48 or 1/6