Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
Answer:
question 8) y-intercept is -1
question 7) the slope is 2/3
question 6) y-intercept is 30,000 and the slope is 2000
question 9) the y-intercept is 150 and the slope is 20
Step-by-step explanation:
Here's an example (which I'll walk you through):
2x + 5 = -1 - x
This has variables on both sides (because there's an x on the left side of the equals sign, and on the right side).
And the solution is also -3. Here's how:
2x + 5 = -1 - x
First, I'll move the x on the right side to the left by adding x to both sides:
2x + 5 + x = -1 - x + x
This cancels out the -x on the right and adds another x to the 2x on the left:
3x + 5 = -1
Now to isolate the 3x, I'll subtract 5 from both sides:
3x + 5 - 5 = -1 - 5
This cancels out the 5 on the left side, and subtracts 5 from the -1 on the right:
3x = -6
Now I'll divide both sides by 3 to get x on its own and find my solution:
3x ÷ 3 = -6 ÷ 3
This cancels out the 3 multiplying the x on the left, and it divides the -6 by 3.
x = -2
And there's your solution :)
Answer: 4/5% of 500 rounded to the nearest hundredth is 400
Step-by-step explanation:
i would say to solve 4/5 and then put 500 as the denominator next to it then 5x100 is 500 then times 4 times 100 which is 400.
