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VMariaS [17]
3 years ago
11

F(x)= x^3 - 9xf(x)=x

Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0

Answer:

thats not the right answers needs to be in fraction form

Step-by-step explanation:

ratelena [41]3 years ago
5 0

Answer:

105

Explanations:

Given the function,

F(x) = x³-9x

Rate of change of the function is given by

d{f(x)}/dx = 3x²-9

Given the interval [1,6]

Rate of change can be gotten by subtracting the lower interval from the upper interval

f'(x) = 3x²-9

f'(1) = 3(1)²-9

f'(1) = 3-9 = -6

f'(6) = 3(6)²-9

f'(6) = 108 - 9

f'(6) = 99

Average rate of change of function = f'(6) - f'(1)

= 99-(-6)

= 99+6

= 105

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The length of the longer leg of a right triangle is
Harman [31]
A and b are legs
a^2+b^2=c^2
lets say
a>b

so
a=13+3b
c=14+3b

a^2+b^2=c^2
(13+3b)^2+b^2=(14+3b)^2
9b^2+78b+169+b^2=9b^2+84b+196
10b^2+78b+169=9b^2+84b+196
minus 9b^2 both sides
b^2+78b+169=84b+196
minus 84b both sides
b^2-6b+169=196
minus 196 both sides
b^2-6b-27=0
factor
(b+3)(b-9)=0
set to zero
b+3=0
b=-3, false, dimentions cannot be negative

b-9=0
b=9

shorter leg is 9

a=13+3b
a=13+3(9)
a=13+27
a=40

c=14+3b
c=14+27
c=41

side legnths are
9in, 40in, 41in
3 0
3 years ago
Question 15(Multiple Choice Worth 1 points) (06.04 MC) The expression to find the perimeter of a rectangle is 2(length + width).
vodomira [7]

Answer: 1 2/3

Step-by-step explanation:

The expression to find the perimeter of a rectangle is 2(length + width)

Length = 1/3

Width = 1/2

Perimeter = 2( 1/3 + 1/2)

Lowest common factor = 6

Perimeter = 2 [ (2 + 3) / 6]

Perimeter = 2 [ 5/6]

Perimeter = 10/6

Perimeter = 1 4/6 = 1 2/3

5 0
3 years ago
Find the value of x.
nikklg [1K]

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

5 0
3 years ago
30% of doctors on a hospital are female. if there are 780 doctors altogether, how many doctors are female ? round to the nearest
Archy [21]
30% as a decimal is 0.3

Multiply 780 by 0.3
780(0.3)=234 female doctors
4 0
3 years ago
Read 2 more answers
Factor 1/4 out of 1/4x -13/4
sweet-ann [11.9K]
\bf \frac{1}{4}(x-13)\qquad 
\begin{cases}
\frac{1}{4}\cdot x\implies &\frac{1}{4}x\\\\
\frac{1}{4}\cdot 13\implies &\frac{13}{4}
\end{cases}
3 0
3 years ago
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