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Brut [27]
4 years ago
7

If f(x) = 4x + 3 and g(x) = 3x, evaluate f(x) * g(x) for x= -1/2 a. -3/2 b. -21/2 c. 6 d. 0

Mathematics
1 answer:
grin007 [14]4 years ago
4 0
F(x) = 4x+3
f(-1/2) = 4(-1/2)+3
f(-1/2) = -2+3
f(-1/2) = 1
-----------------------
g(x) = 3x
g(-1/2) = 3(-1/2)
g(-1/2) = -3/2
-----------------------
Replace x with -1/2 to go from
f(x)*g(x)
to
f(-1/2)*g(-1/2)
So you'll multiply the results of 1 and -3/2 to get 1*(-3/2) = -3/2
-----------------------
The final answer is -3/2
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Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now
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A new truck that sells for 29,000 depreciates 12% each year. What is the decay factor b?
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\bf y=a(b)^t\qquad or\qquad A=I(1-r)^t\qquad \textit{let's check}\\\\
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\qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &29000\\
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t=\textit{elapsed time}\\
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\begin{array}{llll}
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Step-by-step explanation:

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3 years ago
What are the values of x, y, and z in this system of equations?
scZoUnD [109]

Answer:

{x,y,z}={5,−3,3}

Step-by-step explanation:

  [1]    2x + 4y + z = 1

  [2]    x - 2y - 3z = 2

  [3]    x + y - z = -1

// Solve equation [3] for the variable  y  

 [3]    y = -x + z - 1

// Plug this in for variable  y  in equation [1]

  [1]    2x + 4•(-x +z -1) + z = 1

  [1]    -2x + 5z = 5

// Plug this in for variable  y  in equation [2]

  [2]    x - 2•(-x +z -1) - 3z = 2

  [2]    3x - 5z = 0

// Solve equation [2] for the variable  x  

 [2]    3x = 5z

 [2]    x = 5z/3

// Plug this in for variable  x  in equation [1]

  [1]    -2•(5z/3) + 5z = 5

  [1]    5z/3 = 5

  [1]    5z = 15

// Solve equation [1] for the variable  z  

  [1]    5z = 15

  [1]    z = 3

// By now we know this much :

   x = 5z/3

   y = -x+z-1

   z = 3

// Use the  z  value to solve for  x  

   x = (5/3)(3) = 5

// Use the  x  and  z  values to solve for  y  

 y = -(5)+(3)-1 = -3

Solution :

{x,y,z} = {5,-3,3}

5 0
3 years ago
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