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shutvik [7]
3 years ago
7

If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]? a)29.5 b)30 c)43 d)120

Mathematics
1 answer:
avanturin [10]3 years ago
7 0
\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^3-x  \qquad 
\begin{cases}
x_1=1\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(1)}{5-1}
\\\\\\
\cfrac{[5^3-5]~-~[1^3-1]}{4}\implies \cfrac{125-5~~-~~0}{4}\implies \cfrac{120}{4}\implies 30
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Solve For X <br> A 3 <br> B 30<br> C 60<br> D 90
Anarel [89]

Answer:

sln

10x+10x+30+90=180

20x+120=180

20x=180-120

20x=60

x=3

the answer is A) 3

8 0
3 years ago
Question
denpristay [2]
V= π r^2 h

r= radius
h= height

If the radius was 10 ft and the height was 12ft then the answer be about 3769.91.

However if it was reversed and the radius was 12ft and the height was 10 ft then the answer would be about 4523.89.

3769.92≈ π 10^2 12

or

4523.89≈ π 12^2 10

(Question was not correctly specified)
7 0
3 years ago
I need help 44points If u help me
Ira Lisetskai [31]
You should also try wolframalpha.com it can also help u. Just send this exact picture and then they'll help you

hope this helps
6 0
3 years ago
Question 13 plz show ALL STEPS so I can learn thnx
evablogger [386]

9514 1404 393

Answer:

  a) (x³ -x² +x +2) +2/(x+1)

  b) (x² +2x -5) +6/(x+3)

Step-by-step explanation:

Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.

The process stops when the dividend is of lower degree than the divisor.

In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.

7 0
3 years ago
Question Help
Oxana [17]
X + y = 23000

x.08 + y.09 = 2040

x = 23000 - y

(23000 - y) .08 + y.09 = 2040

1840 - .08y + .09y = 2040

Simplify

.01y = 200

Simplify

Y = 20000

X + 20000 = 23000

X = 3000

CHECK: .08x + .09(20000) = 2040

.08x + 1800 = 2040

Simply .08x = 240

X = 3000
7 0
3 years ago
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