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S_A_V [24]
3 years ago
14

What is the maximum number of possible extreme values for the function, F(x)=x^3-7x-6

Mathematics
2 answers:
Olin [163]3 years ago
5 0
2 is the max number because it's one less than the degree
notsponge [240]3 years ago
3 0

Answer:

The maximum number of possible extreme values for the function,

F(x)=x^3-7x-6 is:

2

Step-by-step explanation:

By the Theorem of extreme values of a polynomial function we have:

The graph of a  polynomial equation of degree n has atmost ( less than or equal to) "n-1" extreme values (  i.e. minima and/or maxima).

That means the total number of extreme values could be n-1, n-3, n-5 etc.

Hence, here we have a polynomial equation as:

F(x)=x^3-7x-6

i.e. we have a polynomial function of degree 3 i.e. n=3

So, the maximum number of possible extreme values that may exits is: 2

( Since n-1=3-1=2)

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4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0
3 years ago
10 +(-96) + (-14) +8=​
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Answer:

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Step-by-step explanation:

4 0
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The owner of a flower shop sells 18 roses gor 90$ what is the cost in dollars per rose
Sunny_sXe [5.5K]
The equation would be 90/18 which would give you the cost of 5 dollars per rose
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Evaluate the expression n-f x 8 if n= 84.15 and f=1.8
Gnesinka [82]
84.15-1.8*8
Order of Operations says to add and subtract before you multiply, so simplify the expression to: 82.35*8, which is 658.8
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