Step 1: evaluate f(x+h) and f(x)
We have
And, of course,
Step 2: evaluate f(x+h)-f(x)
Step 3: evaluate (f(x+h)-f(x))/h
Step 4: evaluate the limit of step 3 as h->0
So, we have
Our inequality is 3(x-1) - 4x ≥-3. We can solve this like we solve for x in a regular equation. If I multiply 3(x-1), our new inequality is 3x -3 - 4x ≥ -3. If we add 3 to both sides and subtract 4x from 3x we have -x ≥ 0. But we want the value of x to be positive, not negative. So we multiply both sides by -1 and change the sign from greater than to less than. We get x<span> ≤ </span>0.
If you would like to solve the equation -5x - 25 = 78, you should do this using the following steps:
<span>-5x - 25 = 78
</span>-5x - 25 + 25 = 78 + 25
-5x + 0 = 103
-5x = 103 /(-5)
x = 103 / (-5)
x = - 103/5 = - 20.6
The error was already made at step 1.
Answer:
301.44 inches
Step-by-step explanation:
The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.
You want to find the distance that one rotation will take you, so you need the wheel's circumference.
Circumference = 2πr
2 x 3.14 x 16 = 100.48
100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.
100.48 x 3 = 301.44
Well 1/40 is 0.025 so that should be the write fraction to use
