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guapka [62]
2 years ago
10

Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.

Mathematics
1 answer:
AysviL [449]2 years ago
5 0

f(x)=4x-6

g(x) = f(2x)

Substitute 2x into the first equation, which you get

f(2x)=8x-6

<h2><u><em>So, g(x)=8x-6</em></u></h2>

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You are offered the following gamble based on coin flips. If the first heads occurs on the first flip, you get $2. If the first
Andrews [41]

Answer:

infinity

Step-by-step explanation:

a) the expected value of this gamble in dollars is Infinity

i.e

expected value = \frac{1}{2}*2 +  \frac{1}{4}*4 +  \frac{1}{8}*8 + \frac{1}{16}*16 + ... + \to  \infty (infinty) \\

= 1+1+1+1+1 + ... = \infty

b)

When offered, most people say they would pay only less than $10 to play this game.

What are two reasons why people are willing to pay so much less than the expected value?

These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.

Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is  very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.

3 0
3 years ago
Simplify (3x2y)(5x3y−1)
ludmilkaskok [199]

Answer:

6xy(15xy−1)

Step-by-step explanation:

3 0
2 years ago
Your water bill consists of five parts: A base hookup fee of $32.50, a water fee of $0.03 per gallon of water, a sewer fee of $0
Taya2010 [7]

hi

You have to keep calm and to treat data as it come.  

<u>1 ) Start by constant fees :  </u>

hook up fees  is  32.50  and  trash collection fees are 35

so contant fees  :  32.50 +35 =  67.50  

2 )  Now we have to deal with variable fees which depend on how much water is used

water fees :  

0.03 per gallon, and we have  4 000 gallon, so  :  

0.03*4 000 = 120  

Sewer fees  :  

0.01  per gallon, and we have  4 000 gallon, so  :  

0.01  * 4000 = 40  

3 ) Total before taxation we have :  

67.50 +120 +40 =  227.5  

4)  Now we apply tax on the total before tax.

tax is  5 % , which mean you rise the "off tax " price by 5 percent.  

<u>To grow a number of  X % ,  you multiply by  1+  X/ 100 </u>

here  X = 5  so  the multiplicator is  :  1 + 5/100 = 1.05  

<u>So total of the bill is :   227.5 * 1.05 = 238.875  </u>

The water compagny is  probably going to round it up to 238.88

4 0
1 year ago
The municipal swimming pool in Nicetown has three different ways of paying for individual open swimming. Todd is trying to decid
balandron [24]
Sllope intercept form is y=mx+b
m is the slope , b is the y itnercept

so early pay
cost=70 flat rate
x=infinity
the equation would be y=70

deposit pluss
you have to pay an initial one time payment of 15 so
y=mx+15
then 4 dollars per day
4 times number of days
y=4x+15

daily pay is 6 dollars per day so 6 times number of days
y=6x



1.
a. y=70
b. y=4x+15
c. y=4x
6 0
3 years ago
If car #1 gets 43.2 miles per gallon and car #2 gets 35.9 miles per gallon. Calculate the difference in costs if you drive a dis
Tanzania [10]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~

Car #1: 300/43.2 = 6.9444 gallons

(Rounded) Car #2: 300/35.9 = 8.3565 gallons

~~~~~~~~~~~~~~~~~~~~~~~~~

(Rounded) Car #1: 6.9444*3.19 = $22.16 to re-fill their tank

(Rounded) Car #2: 8.3565*3.19 = $26.66 to re-fill their tank

~~~~~~~~~~~~~~~~~~~~~~~~~

(Rounded) Difference: $26.66 - 22.15 = $4.50

To re-fill Car 2's tank is approximately $4.50 more to re-fill Car 1's tank...

8 0
3 years ago
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