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My name is Ann [436]
3 years ago
11

How to write a rule for transformations

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0
What's the question?
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A company introduces a new product for which the number of units sold S is
KonstantinChe [14]
(a) The "average value" of a function over an interval [a,b] is defined to be 

(1/(b-a)) times the integral of f from the limits x= a to x = b. 

Now S = 200(5 - 9/(2+t)) 

The average value of S during the first year (from t = 0 months to t = 12 months) is then: 

(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12 

or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12 

This equals 200/12 * (5t -9ln(2+t)) 

Evaluating this with the limits t= 0 to t = 12 gives: 

708.113 units., which is the average value of S(t) during the first year. 


(b). We need to find S'(t), and then equate this with the average value. 

Now S'(t) = 1800/(t+2)^2 

So you're left with solving 1800/(t+2)^2 = 708.113 

<span>I'll leave that to you</span>
6 0
2 years ago
Show all your work to receive full credit for this problem. Solve the system of equations using the elimination method. 2a + 3b
Sindrei [870]

Given equations are;<span>
2a + 3b = -1   ..................equation 1
3a + 5b = -2  ....................equation 2</span>

Now multiply equation 1 with (-3)

The equation will be;

-6a -9b = 3 …………………..equation 3

Now multiply equation 2 with (2)

The equation will be;

6a + 10b = -4 ……………..equation 4

Now add equation 3 and equation 4

-6a – 9b = 3

<span>6a  + 10b = -4</span>

<span>------------------------------</span>

0a + b = -1

b = -1

Now put the value of b in equation 1

2a + 3(-1) = -1

2a -3 = -1

2a = -1+3

2a = 2

a=1

Thus the solution is (a,b) = (1,-1)

<span>
</span>

8 0
3 years ago
The legs of a right triangle are 5 and 7 cm long, respectively. What is the length of the hypotenuse? If necessary, round your a
valentinak56 [21]
A squared plus B squared equals C squared, so what you need to do it square 5 and 7. 5 = 25 7 = 48 Then add then and square root your answer. 48 + 25 = 73. 73 square rooted equals an rounded amount of 8.6. SO the answer is D
4 0
3 years ago
X² + 6x – 27=0<br> What is the answer for this question
Tju [1.3M]
(x+9)(x-3)=0
x = 3,-9
7 0
2 years ago
Read 2 more answers
Slope of a line perpendicular to the line whose equation is 3x-3y=-63
ivanzaharov [21]

Answer:

slope perpendicular= -1

Step-by-step explanation:

3x-3y=-63

-3y=-3x-63           divide both sides by -3

y=1x+21

Perpendicular lines have slopes that are the opposite of the reciprocal of each other

3 0
3 years ago
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