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Harman [31]
3 years ago
15

3 3/5 x (-8 1/3) = Please help and quick

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

3 3/5 x (-8 1/3) = -30/1

= -30

Step-by-step explanation:

galben [10]3 years ago
6 0

Answer:

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Step-by-step explanation:

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A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum val
Taya2010 [7]

Answer:

The local maximum and minimum values are:

Local maximum

g(0) = 0

Local minima

g(5.118) = -350.90

g(-1.368) = -9.90

Step-by-step explanation:

Let be g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)

Then, first and second derivatives of the function are, respectively:

First derivative

g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)

g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}

g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x

g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)

Second derivative

g''(x) = 12\cdot x^{2}-30\cdot x -28

Now, let equalize the first derivative to solve and solve the resulting equation:

x\cdot (4\cdot x^{2}-15\cdot x -28) = 0

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

x\cdot (x-5.118)\cdot (x+1.368) = 0

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28

g''(0) = -28

This value leads to a local maximum.

x = 5.118

g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28

g''(5.118) = 132.787

This value leads to a local minimum.

x = -1.368

g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28

g''(-1.368) = 35.497

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}

g(0) = 0

Local minima

g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}

g(5.118) = -350.90

g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}

g(-1.368) = -9.90

7 0
3 years ago
PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HE
frozen [14]
I’ll answer right now let me get a paper real quick
8 0
2 years ago
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According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has
umka2103 [35]

Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

6 0
3 years ago
A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?
gavmur [86]
Area= 1/2(height)×(base↓1+base↓2)
Area=1/2(3)×(8+11)
Area=1/2(3)×(19)
Area=1/2(57)
Area=57/2 OR 28.5
Thus, the area of the trapezium is 28.5inches^2
3 0
3 years ago
Which is used to find the number of ways a given number of objects can be ordered? need help asap please im between factorial an
raketka [301]
Factorial is the correct answer because in combinations the order does not matter
8 0
3 years ago
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