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elixir [45]
3 years ago
5

What is the inverse of the function g(x)=-2/3x-5

Mathematics
2 answers:
professor190 [17]3 years ago
6 0

Answer:

f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Step-by-step explanation:

<u>Step 1:  Set x to y and y to x</u>

<u />y = -2/3x - 5

x = -2/3y - 5

<u>Step 2:  Solve for y</u>

<u />x + 5 = -2/3y - 5 + 5

x + 5 = -2/3y

-3/2(x + 5) = -2/3y * -3/2

-3/2x - 15/2 = y

<u>Step 3:  Make new equation</u>

<u />f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Answer:  f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Margaret [11]3 years ago
5 0

Answer:

-3/2x -15/2

Step-by-step explanation:

g(x)=-2/3x-5

y = -2/3x -5

Exchange x and y

x = -2/3y -5

Solve for y

Add 5 to each side

x+5 = -2/3y-5+5

x+5 = -2/3y

Multiply each side by -3/2

-3/2(x+5) =-3/2*-2/3y

-3/2x -15/2 =y

The inverse is -3/2x -15/2

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

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Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
2 years ago
NEED HELP PLEASE!!!<br><br> Given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?
GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

      - f(x) = -(9x+4)         Note:  Use parentheses as shown here.

--------------------

g(x) - f(x) = -14x - 3

6 0
2 years ago
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lbvjy [14]
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3 years ago
Sum of one-half of a number and 4 is -16. find the number
Lady_Fox [76]
X is the number
sum means add

sum of half a number and 4 means
(x/2)+4
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(x/2)+4=-16
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5 0
3 years ago
Usmg Cire SOIULIONI LU a LILETAI Equatre
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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