Answer:
x > 4/33
Step-by-step explanation:
(-4 +8x) +3> x/-4
8x - 1 > x/-4
-32x + 4 < x
4 < 33x
4/33 < x
Start by isolating one of the variables
x=-4y+2
Sub x into the other formula and solve for the y value of the solution.
3(-4y+2)+2y=11
-12y+6+2y=11
-12y+2y=11-6
-10y=5
y=-1/2
Sub the y value into the x formula you created.
x=-4(-1/2)+2
x=2+2
x=4
Therefore the solution is (4,-1/2) I think the answer is B unless the y value is actually -12.
Hope this helps :)
Answer:
(negative infinity, 2)
Step-by-step explanation:
The two functions are given by f(x) = x - 3 and g(x) = - 0.5x
So, (f - g)(x) = x - 3 - ( - 0.5x) = 1.5x - 3
Then, for (f - g)(x) to be negative (1.5x - 3) < 0
⇒ 1.5x < 3
⇒ x < 2
Therefore, the interval will be (negative infinity, 2) for which the function (f - g)(x) will be negative. (Answer)
( x-5)/-2=(x-1)/-3
Cross multiply
-3(x-5)=-2(x-1)
Distribute
-3x +15 = -2x +2
Add 2x to both sides
-x +15 = 2
Subtract 15 from both sides
-x = -13
x=13
