Okay so the answer is x= 9.5 y= 9
The correct product of (6x+2)2 = 36x2 + 24x + 4
This is how to get this:
The equation is (a+b)2 = (a+b) (a+b). So, when you apply this to your equation, you get this:
(6x+2)2 = (6x+2) (6x+2) = 36x2 + 12x + 12x + 4 = 36x2 + 24x + 4
Answer:
Step-by-step explanation:
If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:
Here the machines are constant and the rate is x toys per hour:
If 5 machines make x per hour:
Rate is x/1 hour
The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:
Rate for 5 machines is x and for 8 machines is y:
<span>Simplifying
14 + x = 46
Solving
14 + x = 46
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 46 + -14
Combine like terms: 14 + -14 = 0
0 + x = 46 + -14
x = 46 + -14
Combine like terms: 46 + -14 = 32
x = 32
Simplifying
x = 32</span>
Answer:
6x ≥ 3 + 4(2x - 1)
⇔ 6x ≥ 3 + 8x - 4 => remove the parentheses
⇔ 6x - 8x ≥ 3 - 4
⇔ -2x ≥ -1
⇔ 2x ≤ 1 (or 1 ≥ 2x)
⇔ x ≤ 1/2
⇔ x ≤ 0.5
The answer for the question should be:
1 ≥ 2x
6x ≥ 3 + 8x – 4
and the first graph.
