Answer:
The value of y triples
Step-by-step explanation:
Given:
Required
Determine b value
An exponential equation is:
When 
So:
When 
So:
Substitute 2 for a
Divide by 2
Take positive square roots of both sides
The answer is either 7.4 or 37/5
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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In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).
Following are some steps to solve equation/inequality in one variable:
1) Get rid constant number from on side by applying reverse operation of addition or subtraction.
2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.
3) Combine like terms on both sides.
4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.
5) Finally you get a variable on one side and solution on other side.
Answer:
1. 2+2 = 4
2. 2x +2 = y
3. Terms - 16ab, 5c, 8, 2l, 2w, h, w, l
Coefficients - 16, 5, 8, 2, 2
Constants - 8, h, w, l
4. 2
5. -7
