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Sveta_85 [38]
3 years ago
13

F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

the interval [2,6] open bracket, 12, comma, 6, close bracket?
Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Answer:

A(x) = 243

Step-by-step explanation:

Given

f(x) = x^3 - 9x

Interval: (12,6)

Required

Determine the average rate of change

Average rate is calculated as thus;

A(x) = \frac{f(b) - f(a)}{b - a}

<em>In this case; b = 12 and a = 6</em>

Calculating f(12)

f(12) = 12^3 - 9 * 12

f(12) = 1728 - 108

f(12) = 1620

Calculating f(6)

f(6) = 6^3 - 9 * 6

f(6) = 216 - 54

f(6) = 162

Substitute 12 for b and 6 for a in A(x) = \frac{f(b) - f(a)}{b - a}

A(x) = \frac{f(12) - f(6)}{12 - 6}

Substitute values for f(6) and f(12)

A(x) = \frac{1620 - 162}{12 - 6}

A(x) = \frac{1458}{ 6}

A(x) = 243

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-(5x+5y=1160)
8x+5y=1523

-5x-5y=-1160
+
8x+5y=1523

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x=121 g of sugar in Mt. Dew

8x+5y=1523 plug in 3 in x

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4 0
3 years ago
Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi
lesya [120]

Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

<u>Cylinder P</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

<em>The volume of cylinder P is 794.430242277</em>

<em>-------------------------------------------------------------------------------------------------------</em>

<u>Cylinder Q</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

<em>The volume of cylinder Q is 1308.47334022</em>

<em>-------------------------------------------------------------------------------------------------------</em>

We can see that cylinder Q has a greater volume

8 0
3 years ago
The Raimonde family drove 1,764 miles across the United States on their vacation.If it took a total of 28 hours, what was their
LuckyWell [14K]
Miles per hour = Total miles/ total no of hours
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8 0
3 years ago
Simplify 2^9 divided by 2^6 I need help ASAP can you help me pleaseee
sveta [45]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
The following table shows a proportional relationship between mmm and nnn.
Marina CMI [18]

Answer:

70707mmm = 111nnn

Step-by-step explanation:

Using the basic equation of a line:

y = mx + c;. where m is slope and c is intercept on y axis.

Let mmm = y and nnn = x

(i) 333 = 212121m + c

(ii) 555 = 353535m + c

Making c the subject of the formula in both (i) and (ii)

c = 333 - 212121m = 555 - 353535m

353535m -212121m = 555 - 333

141414m = 222

m = 111/70707

Substitute in (i) above

c = 333 -333 = 0

Hence; y = 111/70707x + c

Finally, mmm = 111/70707 nnn

i.e. 70707mmm = 111nnn

Hope this helps.

5 0
3 years ago
Read 2 more answers
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