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IrinaK [193]
3 years ago
12

F(x)=x^3-6x^2+11x-6 is (x-4)

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0

Answer: 10

Step-by-step explanation:

nikklg [1K]3 years ago
5 0

Answer:

x-4

Step-by-step explanation:

trust me!!

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Eight less than four times a number is less than 56.What are the possible values of that number
Gemiola [76]
We have the next inequation
8-4x<56

-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12

Solution: x>-12  or  (-12,+∞)
4 0
3 years ago
An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache
weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \frac{50}{4000} = \frac{1}{80}

Hence,

1/80 of the agency's employees have PhDs.

5 0
3 years ago
Find dy/dx if f(x) = (x + 8)^3x.
vlabodo [156]
This is quite a complex problem. I wrote out a really nice solution but I can't work out how to put it on the website as the app is very poorly made. Still, I'll just have to type it all in...

Okay so you need to use a technique called logarithmic differentiation. It seems quite unnatural to start with but the result is very impressive.

Let y = (x+8)^(3x)

Take the natural log of both sides:

ln(y) = ln((x+8)^(3x))

By laws of logarithms, this can be rearranged:

ln(y) = 3xln(x+8)

Next, differentiate both sides. By implicit differentiation:

d/dx(ln(y)) = 1/y dy/dx

The right hand side is harder to differentiate. Using the substitution u = 3x and v = ln(x+8):

d/dx(3xln(x+8)) = d/dx(uv)

du/dx = 3

Finding dv/dx is harder, and involves the chain rule. Let a = x+ 8:

v = ln(a)
da/dx = 1
dv/da = 1/a

By chain rule:

dv/dx = dv/da * da/dx = 1/a = 1/(x+8)

Finally, use the product rule:

d/dx(uv) = u * dv/dx + v * du/dx = 3x/(x+8) + 3ln(x+8)

This overall produces the equation:

1/y * dy/dx = 3x/(x+8) + 3ln(x+8)

We want to solve for dy/dx, achievable by multiplying both sides by y:

dy/dx = y(3x/(x+8) + 3ln(x+8))

Since we know y = (x+8)^(3x):

dy/dx = ((x+8)^(3x))(3x/(x+8) + 3ln(x+8))

Neatening this up a bit, we factorise out 3/(x+8):

dy/dx = (3(x+8)^(3x-1))(x + (x+8)ln(x+8))

Well wasn't that a marathon? It's a nightmare typing that in, I hope you can follow all the steps.

I hope this helped you :)
8 0
3 years ago
3-2y+(-8y)+8.5<br><br> Simplify your answer. Use interfere or decimals for any number expressions
Nataly_w [17]
Im pretty sure it’s 11.5 - 16y
8 0
3 years ago
PLEASE HELP THIS A QUIZ DUE AT 9:00!
Svetllana [295]

Answer:

mmmm 7$ per week

Step-by-step explanation:

just divide 28/4=7

6 0
3 years ago
Read 2 more answers
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