A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )
B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )
C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )
Hello :
<span>3-x/2=6
</span><span>-x/2=6 -3
</span>-x/2=3
- x = 6
x = - 6
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
If you would like to know for how many days will 1/2 of a bag of dog food last, you can calculate this using the following steps:
1 day ... 3 bags of dog food
x days = ? ... 1/2 of a bag of dog food
1 * 1/2 = 3 * x
1/2 = 3 * x /3
x = 1/2 * 1/3
x = 1/6 of a day
The correct result would be 1/6 of a day.
Answer:
f(x) = 4/9
Step-by-step explanation:
Multiply 4 by 1/3 squared and you have your answer.
