Answer:
The answer is
Step-by-step explanation:
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
Answer:
VS = 11
Step-by-step explanation:
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..............................[a+b]2+c2
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.
We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100. Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.
a/60=5/100
Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.
100 * a = 60 * 5
If we simplify by multiplying, then we get the equation:
100a = 300
When we divide the variable by the coefficient, we get the equation
a=3
Therefore, sea world sold 3 discount tickets.
