V = (4/3)×3.14×(1.5^3)
V = 14.1 in^3
Answer:
Exact Form: 2√26
Decimal Form: 10.19803902
…
Step-by-step explanation:
<u>Given</u>:
The system of linear equations are
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute
in the equation 
Thus, we have;




Thus, the value of y is -17.
Substituting
in the equation
, we get;


Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3