Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
Answer:
The two numbers are 17 and 7.
Step-by-step explanation:
x+y=24
x-y=10
------------
2x=34
x=34/2
x=17
17-y=10
y=17-10
y=7
Y=-x/2+9
y=x+7
If we solve this system of equations, we can find the solution to the following system of equation.
we can solve this system of equation by equalization method.
-x/2+9=x+7
lowest common multiplo=2
-x+18=2x+14
-3x=-4
x=-4/-3=4/3
y=x+7=4/3 + 7=(4+7*3)/3=25/3
The solution is (4/3, 25/.3)
answer: Line y=-x/2+9 intersects line y =x+7
