You need to find a common denominator. I would use 6 first.
1/3 is equivalent to 2/6. 1/2 is equivalent to 3/6. It is still difficult to find the median between the two so I would try 12 as a common denominator.
1/3 is equivalent to 4/12, and 1/2 is equivalent to 6/12. Therefore, the halfway point would be:
5/12
Answer:
y ≥ 28
Step-by-step explanation:
Isolate the variable. Treat the inequality sign as a equal sign, what you do to one side, you do to the other. Add 6 to both sides:
y - 6 (+6) ≥ 22 (+6)
y ≥ 22 + 6
y ≥ 28
y ≥ 28 is your answer.
~
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
Answer:
y = -1/2x + 9
Step-by-step explanation:
(0, 9) and (8, 5)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 9) / (8 - 0)
Simplify the parentheses.
= (-4) / (8)
Simplify the fraction.
-4/8
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(8) + b
To find b, multiply the slope and the input of x(8)
5 = -4 + b
Now, add 4 to both sides to isolate b.
9 = b
Plug this into your standard equation.
y = -1/2x + 9
This is your equation.
Check this by plugging in the other point you have not checked yet (0, 9).
y = -1/2x + 9
9 = -1/2(0) + 9
9 = 0 + 9
9 = 9
Your equation is correct.
Hope this helps!
Answer:
$0.02
Step-by-step explanation:
This is the correct way to do 2 cents. Since two is not in the tenths place, and is not yet a dollar, the correct answer is $0.02.
Hope this helps! :D
