To find the slope, use the simple rule rise/run. The change in the y value over the change in the x value. The y changes by -1 when the x changes by positive 2. Therefore, the slope is -1/2.
2x + 7 ≤ 3x - 5
Start by keeping the variable x on the left side of the inequality, and move everything else to the right side.
We can do this by subtracting 3x from both sides and subtracting 7 from both sides.
-x ≤ -12
Divide both sides by -1 to make x a positive; when dividing by a negative number you will flip the inequality sign, so ≤ becomes ≥.
x ≥ 12
Possible solutions for x are any number equal to or greater than 12.
Answer:
x = 2
Step-by-step explanation:
A = lw
44 = 4(3x+5)
44 = 12x + 20
24 = 12x
x = 2
Answer:
3. B.
1. 3551.
Step-by-step explanation:
3. For two equations to have infinite solutions, the equations must be the same.
y = -5x + 6
5x + y - 6 = 0
Multiply the whole thing by 2.
10x + 2y - 12 = 0
B.
1. Michelle rides roller coasters 3 times and plays the super swing 5 times, which means that A = 3 and B = 5.
Marty rides the roller coasters 5 times and plays the super swing 1 time. That means C = 5 and D = 1.
So, your answer will be 3551.
Hope this helps!
X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9
Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9
Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12
Step 4: Divide both by -3
-3x/-3=-12/-3
X=4
