Answer:
-5
Step-by-step explanation:
1: simplify both sides of the equation. (combine like terms)
2: subtract 3x from both sides
3: subtract 16 from both sides
4: divide both sides by 3
i hope that helped!
The simplest and probably the best way to understand this problem is to make up a problem that obeys what you have been given. It doesn't have to be realistic. It just has to obey the conditions. Let us suppose that you thought the diameter of the tire is 1 yard. That would mean the circumfrence is pi * d
C = 3.14 * 1
That would mean that the circumference is 3.14 yards. It would also mean that you would have to have the wheel turn 1760 yards / /3.14 yards / revolution which is about 561 revolutions / mile. So the way I have set up the problem, my equation is d = 561 * R where R is the number of revolutions.
Now let's see what happens when you say "O my Goodness, the wheel diameter is really 32 inches" which 0.8888888 yards what happens now?
Now you still have to go 1760 yards How many revolutions is that?
C = pi * d
C = 3.14 * 0.88888888
C = 2.79111 yards
How many revolutions does it take to 1760 yards.
R = 1760 // 2.78111 yards / revolution
R = 631 revolutions / mile. What happened?
Your constant goes up if the wheel diameter goes down. Think about this. Do you ride a bicycle? I do. It makes perfect sense to me that if the wheel is small, it will have to turn more often to go a mile. No matter where that 0.00125 comes from or how it was derived, the constant will have to go up if the wheel gets smaller.
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
Answer: 231.3 repeating!
Step-by-step explanation: I used the calculator
Looking at a number in different ways can help understand it’s application better. For example, giving an answer with radicals(square roots) is precise, but it’s not practical because you really don’t know what that number means.
