Answer:
x<-3
Step-by-step explanation:
-2(x+1)+6x<-14
Distribute
-2x-2 + 6x < -14
Combine like terms
4x -2 < -14
Add 2 to each side
4x-2+2 < -14+2
4x < -12
Divide by 4
4x/4 < -12/4
x<-3
Answer:
y-intercept=(0, 3) slope=-2
hope this help
Step-by-step explanation:
Answer:
the domain of the function f(x) is 
the range of the function f(x) is 
Step-by-step explanation:
Consider the parent function 
The domain og this function is
the range of this function is 
The function
is translated function
7 units to the right and 9 units up, so
the domain of the function f(x) is 
the range of the function f(x) is 
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
Answer:
-3.75
Step-by-step explanation:
the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75