Answer:
Step-by-step explanation:
X^2-6x+5=x^2-5x-x+5=x(x-5)-(x-5)=(x-5)(x-1)
Then we have (x-5)(x-1)=0 if x=5 or x=1.
Intersections on x are points (1,0) and (5,0), middle is (3,0).
Intersection with y is when put x=0 in equation, so you will get y=0-6*0+5, y=5. The point is (0,5).
From picture symmetry is line x=3.
90 because there are 5 time as many candies with nuts as candies without nuts and there is 18 so it will be 18×5=90
Answer:
x = 7.5y
Step-by-step explanation:
Simplifying
4.2(2x + -0.5y) + -2(4.1x + -0.3y) = 0
(2x * 4.2 + -0.5y * 4.2) + -2(4.1x + -0.3y) = 0
(8.4x + -2.1y) + -2(4.1x + -0.3y) = 0
8.4x + -2.1y + (4.1x * -2 + -0.3y * -2) = 0
8.4x + -2.1y + (-8.2x + 0.6y) = 0
Reorder the terms:
8.4x + -8.2x + -2.1y + 0.6y = 0
Combine like terms: 8.4x + -8.2x = 0.2x
0.2x + -2.1y + 0.6y = 0
Combine like terms: -2.1y + 0.6y = -1.5y
0.2x + -1.5y = 0
Solving
0.2x + -1.5y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.5y' to each side of the equation.
0.2x + -1.5y + 1.5y = 0 + 1.5y
Combine like terms: -1.5y + 1.5y = 0.0
0.2x + 0.0 = 0 + 1.5y
0.2x = 0 + 1.5y
Remove the zero:
0.2x = 1.5y
Divide each side by '0.2'.
x = 7.5y
Simplifying
x = 7.5y
