Answer: just put it in rice
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
If 6 inches = 1 cm, and 24 inches divided 6 inches = 4, then it would be 4 cm.
|ax - b| > c
The two bars | | is used to indicate the function absolute value.
Remember this definition:
| x | = - x if x < 0 and x if x > 0
So, | x | > c =>
x > c or x > - c
Therefore:
|ax - b| > c => ax - b > c or ax - b > - c
That is the third option of the answer list.
Answer:
Slope: 6
y-intercept: 8
x-intercept: -4/3
Step-by-step explanation:
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, divide 2 from both sides:
(2y - 6x - 8)/2 = (0)/2
y - 6x - 8 = 0
Isolate the variable, y. Add 6x and 8 to both sides:
y -6x (+6x) - 8 (+8) = 0 (+6x) (+8)
y = 0 + 6x + 8
y = 6x + 8
The slope intercept form is: y = mx + b, in which m = slope, and b = y-intercept.
Slope: 6
y-intercept: 8
To find the x-intercept, plug in 0 for y in the equation:
y = 6x + 8
0 = 6x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 8 from both sides:
0 (-8) = 6x + 8 (-8)
-8 = 6x
Isolate the variable, x. Divide 6 from both sides:
(-8)/6 = (6x)/6
x = -8/6
x = -4/3
x-intercept: -4/3
~
Place (3x + 1)/12, and (4x)/15 (Note: the bottom triangle's base is 12 + 3)
Set the two equal to each other
(3x + 1)/12 = (4x)/15
Cross multiply
15(3x +1)/12(12) = 12(4x)/15(15)
15(3x + 1) = 12(4x)
Distribute the 15 to the two terms in the parenthesis, and 12 to 4x
15(3x) = 45x
15(1) = 15
12(4x) = 48x
45x + 15 = 48x
Isolate the variable, subtract 45x from both sides
45x (-45x) + 15 = 48x (-45x)
15 = 48x - 45x
Simplify
15 = 3x
Isolate the x, divide 3 from both sides
15/3 = 3x/3
x = 15/3
x = 5
5 is your answer
hope this helps
