Simplify the expression. Write your answer as a power.

Find the derivative of f(x) = -9/x at x = 6

Svet_ta [14]

F(x)=-9/x which is equal to:

f(x)=-9x^(-1) So the power rule for differentiation is used...

Power rule: f(x)=x^e, df/dx=ex^(e-1) so:

df/dx=-9(-1)x^(-1-1)

df/dx=9x^(-2) or if you prefer...

df/dx=9/x^2

df/dx(6)=9/36=1/4

3 0

3 years ago

IfA=(-2,-4) and B=(-8,4), what is the length of AB?

lisabon 2012 [21]

Answer:

<h2>10 units </h2>

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

$ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units$

Hope this helps..

Good luck on your assignment

3 0

3 years ago

The stem-and-leaf plot shows the scores of a class of sixth graders on a math test.

SOVA2 [1]

A stem and leaf plot shows sets of two digit numbers, by separating the ten’s place and the one’s place. On the left is the different ten’s values, while on the right next to each of the values on the left is the one’s values that associate with each of the ten’s values. This means that the numbers in this set of data are 32, 47, 51, 55, 55, 55, 58, 64, and so on. From there, you can use that knowledge to figure out how many scores were above 60.

The terms that are above 60 are 64, 65, 73, 74, 77, 87, 88, 91, 93, 93, 97, 99, and 99, for a total of 13 of the 20 scores being above 60.

8 0

3 years ago

PLS HELPPPPP DUE TODAYYYY

Dafna1 [17]

1. y=4x

2. y=-7x-8

3. y=5x+63

4. y=¾x+8

5. y=-3x-½

6. y=1x-3

7. y=2

8. y=-2x+1

9. y=4x+7

work for 9

1=4(2)+b

1= 8 +b

-8 -8

7=b

10. y=0

11. y=¾x+6

work for 11

9 =¾(4)+b

=¾(4)+b9 = 3 +b

+b-3=-3

+b-3=-3 6=b

12. sorry I haven't done thai one in a while.

I was too lazy to include the work for the first couple of answers although I recommend.

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they include work with ads

6 0

3 years ago

A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed

Aleks [24]

Answer:

I think 21

Step-by-step explanation:

7 0

3 years ago