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4 years ago

Determine the solution to f(x) = g(x) using the following system of equations:

2 answers:

8 0

F(x) = g(x)

f(x) = 3x + 12
g(x) = -9.5x -13

Since both are equal. then

3x + 12 = -9.5x - 13
3x + 9.5x = -13 - 12
12.5x = - 25
12.5x/12.5 = -25/12.5
x = -2

to check:
f(-2) = 3(-2) + 12 = -6 + 12 = 6
g(-2) = -9.5x - 13 = -9.5(-2) -13 = 19 - 13 = 6

f(x) = g(x)
f(-2) = g(-2)
6 = 6

Rama09 [41]4 years ago

4 0

Answer:

x= -2

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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2 years ago

You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 ag

Doss [256]

The probability of winning is 0.44 .

Step-by-step explanation:

Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :

$Probability(type1) = 0.3\\Probability(type2) = 0.4\\Probability(type3) = 0.5\\\\Probability(winning) = w$

Now, we choose a random opponent and we need to find probability of winning which is possible as :

1. player chosen from type1

2. player chosen from type2

3. player chosen from type3

Combining all cases we get :

⇒ $w = type1(1-type2)(1-type3) + (1-type1)type2(1-type3) + (1-type1)(1-type2)type3$

⇒ $w = 0.3(0.6)(0.5)+0.7(0.4)(0.5)+0.7(0.5)(0.6)$

⇒ $w = 0.44$

∴ The probability of winning is 0.44 .

8 0

3 years ago

Bob parked his car at the local garage. If his car stayed for one hour, he would have been charged $6.00. If he stayed for 4 hou

Nitella [24]

Answer:

Initial charge is $2.5

Hourly charge is $3.5/hr

Equation is y=3.5x+2.5

Step-by-step explanation:

Getting slope

Get fixed charge

Get equation

The slope can be found as follows. For 1 hour, charges is $6 so making time in x axis while money charged in y axis, the first coordinate is (1, 6) while for 4 hours with charge of $16.5 the coordinate will be (4, 16.5)

The slope will be given by dividing change in y axis to change in x axis. This will be (16.5-6)/(4-1)=3.5

To get the fixed charge

Using the equation y=mx+c where m is slope while c is fixed charge, x is time and y is total cost then for 1 hour

6=3.5(1)+c

C=6-3.5=2.5

Therefore, generally the equation will be y=3.5x+2.5

Initial charge is $2.5

Hourly charge is $3.5/hr

Equation is y=3.5x+2.5

6 0

3 years ago