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AlladinOne [14]
3 years ago
10

The cost of manufacturing x refrigerators is given by the function f(x)=2x^2+6000. If the cost doubles fr the year 2011 owing to

higher raw material prices, which transformation will result in the graph of f(x)? CHOICES: Reflection, Vertical Stretch, Vertical Shrink, Horizontal Shrink, or Horizontal Stretch
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:  Vertical Stretch

Step-by-step explanation:

Given: The cost of manufacturing x refrigerators is given by the function :f(x)=2x^2+6000

If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :

g(x)=2(2x^2+6000)=4x^2+12000 which represents a vertical stretch in the graph.

∵ 2 is a positive constant  greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .  

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An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that
qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100

#First find F_x and probability distribution function ,f_x(x):

F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}

#Have determined the probability distribution unction ,f_x(x), we calculate the Expectation of the random variable X:

E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200}  dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\

#We then calculate E(X^2):

E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28

Hence, the Var(X) is 764.28  

4 0
3 years ago
What is the solution of the system? y = 13x - 1 ; y = 9x + 4
Temka [501]

Answer:

(\frac{5}{4},\frac{61}{4})

Step-by-step explanation:

This system we can solve by substitution method :

y=13x-1

y=9x+4

_______

y=13x-1

13x-1=9x+4  (instead y in second equation we use 13x-1 and first rewrite)

_______

y=13x-1

13x-9x=4+1 (subtract 9x and add 1 for each side)

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y=13x-1

4x=5  (divide by 4)

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y=13x-1

x=\frac{5}{4} (instead x in first eq we write 5/4)

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y=13*\frac{5}{4} -1=\frac{65-4}{4}=\frac{61}{4}

6 0
3 years ago
Linda runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
sergejj [24]
We have 7/x = 24/60, where x is number of miles;
Then, x = ( 7 x 60 ) / 24 = 17.5 miles;
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What is the measure of x in degrees ?
vova2212 [387]

Answer:

117 degrees

Step-by-step explanation:

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tensa zangetsu [6.8K]

Answer:

all three!

Step-by-step explanation:

just answered on edge :)

8 0
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