Let f(a,b) = 2a - 3b^2 + 7. If f(b,3) = 90, then what is b?
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just follow the definition:
f(a,b) = 2a - 3b^2 + 7
f(b,3) = 2b - 3(3)^2 + 7 = 90
2b - 27 + 7 = 90
2b = 110
b = 55
To find the value of b, we need to substitute the given values into the equation f(a,b) = 2a - 3b^2 + 7 and solve for b.
Given:
f(b,3) = 90
Substituting the values into the equation:
90 = 2b - 3(3)^2 + 7
Simplifying:
90 = 2b - 27 + 7
90 = 2b - 20
Now, let's solve for b:
Add 20 to both sides:
90 + 20 = 2b
110 = 2b
Divide by 2:
110/2 = b
55 = b
Therefore, b = 55.
To find the value of b, we can plug the given values into the function f(b, 3) = 90 and solve for b.
Let's start by substituting the values into the function:
f(b, 3) = 2b - 3(3)^2 + 7
Now, simplify the equation:
90 = 2b - 3(9) + 7
Next, simplify further:
90 = 2b - 27 + 7
Combine like terms:
90 = 2b - 20
To isolate the variable b, let's move the constants to the other side of the equation:
90 + 20 = 2b
110 = 2b
Finally, divide both sides by 2 to solve for b:
b = 110/2
b = 55
So, b equals 55.