Answer:
the number you're looking for is 9.5
Step-by-step explanation:
4x-7 = 12+2x
2x-7 = 12
2x = 19
x = 9.5
Answer:
40
Step-by-step explanation:
1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)
2. cancel multiplied terms that are in the denominator (n times 5/8 = 25
3.re order terms so constants are on the left (5/8n =25)
4. combine multiplied terms into a single fraction (5n/8 = 25)
5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)
6. cancel multiplied terms that are in the denominator (5n=8 times 25)
7. multiply the numbers (5n = 8 times 25 5n= 200)
8. simplify (n=40)
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
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2.............................................
Since it costs $4 to rent the first movie, and $X for each additional movie, the correct equation is y=4x+4.
The reason it's 4x instead of 5x is because the first movie costs $4, and the remaining 4 movies cost $X each.
