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S_A_V [24]
2 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]2 years ago
5 0
2 is the max number because it's one less than the degree
notsponge [240]2 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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Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many m
elena55 [62]
<span>Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many muffins did he have at first?

If you take 10 and 11 and add, then you'll have 3/8 of the muffins, so 21/3 is 7 and 7*8 is 56, so you'll have 56 muffins to start. and Leonard gave 35 to his grandmother.</span>
4 0
2 years ago
Read 2 more answers
The sum of the interior angles of a polygon is
Crank

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

(n - 2) \times 180

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

(n - 2) \times 180 = 26 \times 90

Divide through by 90

2(n - 2) = 26

Divide through by 2

n - 2 = 13

n = 13 + 2

n = 15

6 0
2 years ago
The following differential equation is separable as it is of the form dP/dt = g(P)h(t).
dedylja [7]

Answer:

P(1-P) = Ae^t

Step-by-step explanation:

given differential equation is

\frac{dP}{dt} =P-P^2\\\frac{dP}{dt} = g(P) h(t)\\g(P) = P-P^2\\h(t) = 1

So this is separable

We separate as

\frac{dP}{P-P^2} =1dt\\\frac{dP}{P(1-P)} =1dt

Resolve into partial fractions to solve this

dP(\frac{1}{P}+ \frac{1}{1-P} ) = 1dt\\ln P(1-P) = t+C\\P(1-P) = Ae^t

So solution isP(1-P) = Ae^t

7 0
2 years ago
When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.
Savatey [412]
<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

 By properties of powers, if you have the same base, you can substract the exponents. Then:

 =(</span>27x^2)z/(-3x^2)(z^6)
 =-9z/z^6  (As you can see: x^2-2= x^0=1)
 =-9/z^5    (Then, z^6-1=z^5)
<span>
 Therefore, the answer is: The exponent on the variable z is 5.</span> 
7 0
2 years ago
The sum of the four angles in a rectangle is always 180 degrees true or false?
dem82 [27]
A rectangle has 4 sides
each side is a right angle
a right angle by definition is 90 degrees
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False
7 0
2 years ago
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