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3 years ago

Simplify the difference quotient f(x) − f(a) / x − a if x ≠ a. f(x) = x^3 − 36

Mathematics

1 answer:

Annette [7]3 years ago

7 0

Fx - fa÷x - ( aif x ÷ n (2.178282)) (a) = -2.718282a² fix²+ fnx² - afn ÷ nx

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The total surface area of a cone whose radius is 2 r and slant height 2l is

vampirchik [111]

Answer:

$A=4\pi r(l+r)$

Step-by-step explanation:

The total surface area of a cone is given by :

$A=\pi rl+\pi r^2\\\\=\pi r(l+r)$

Put r = 2r and l = 2l in the above formula

$A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)$

Hence, the total surface area of the cone is $4\pi r(l+r)$ .

7 0

2 years ago

Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}

Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

7 0

3 years ago

100 Points! What are the classifications of each system?

alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

$x+5y=-2\\x+5y=4$

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

$y=3x+4\\-2x+y=4$

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

$3x+y=4$ ----> equation A

$-6x-2y=-8$ ----> equation B

Multiply equation A by -2 both sides

$-2(3x+y)=-2(4)$

$-6x-2y=-8$ ----> equation C

Compare equation B and equation C

Are identical lines

The system has infinity solutions

therefore

Is a consistent dependent system

4 0

3 years ago

Please help!

Reika [66]

Answer:

(1,-5)

Step-by-step explanation:

The given system of inequalities are;

$y\:$

and

$y\:$

The point that is a solution will satisfy the two inequalities.

Checking for (1,-5)

$-5\:$ and $-5\:$

$-5\:$ : True $-5\:$ : True

This point lies in the solution region.

Checking for (1,5)

$5\:$ and $5\:$

$5\:$ : False $5\:$ : False

This point does not lie in the solution region.

Checking for (5,1)

$1\:$ and $1\:$

$1\:$ : False $1\:$ : True

This point does not lie in the solution region.

Checking for (-1,5)

$5\:$ and $5\:$

$5\:$ : True $5\:$ : False

This point does not lie in the solution region.

4 0

3 years ago

Read 2 more answers

Several students at a university were surveyed about how they

Anarel [89]

Okay so the answer would be

4 0

2 years ago

Read 2 more answers