Answer: Hi!
Answers B and D are correct.
For B, since negative numbers are on the left side of the number line, a positive number would have to be to the right of a negative number. Since we are adding a negative and a positive number of the same absolute value (9), they would cancel out to 0, which makes D true.
Hope this helps!
Answer:
Step-by-step explanation:
Expression => | -2 |
Equation => 6 - 1 = 2 + 3
Inequality => 8^m > 64
Not of Bernoulli type, but still linear.
There's no need to find an integrating factor, since the left hand side already represents a derivative:
![\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%281%2Bx%5E2%29y%5D%3D%281%2Bx%5E2%29%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%2B2xy)
So, you have
![\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=4x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%281%2Bx%5E2%29y%5D%3D4x%5E2)
and integrating both sides with respect to
yields
First box (under 1) is 7, next box (above 12.5) is 6.5 and the last box is 16
Answer:
y = m x + b equation of a straight line
m = (y2 - y1) / (x2 - x1) slope of line
m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12
y = -x / 12 + b equation of line
Or b = y + x / 12
If y = 10 and x = 48 then b = 10 + 48 / 4 = 14
if y = 17 and x = -36 then b = 17 - 36 / 12 = 14
So b = 14 and y = -x / 12 + 14
