Answer:
The slope is -4
Step-by-step explanation:
<h2>
Rewriting Words as Equations</h2>
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
- <em>twice</em> = multiply by 2
- <em>difference</em> = subtract
- <em>'a number'</em> = let this be <em>x</em>
- <em>is</em> = equals
<h2>Solving the Question</h2>
We're given:
- Twice the difference of a number and 6 is 5
⇒ twice = (2 ×)
⇒ difference of a number and 6 = (x - 6)
⇒ is 5 = ( = 5)
To solve for <em>x</em>, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x =
<h2>Answer</h2>
F(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4
switch x and y
x = 1/2y +4
solve for y
multiply both sides by 2
2x = y+8
subtract 8 from both sides
2x-8 = y
rewrite with y on the left side: y = 2x-8
replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8
solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0
Answer:
A thend D
Step-by-step explanation: