Answer:
y=55x
given y=385
x=gallons of gas = 385/55 = 7 gallons
inverse function
y=55x
change x to y and y to x
x=55y
y=x/55
inverse function is x/55
Step-by-step explanation:
PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
Answer:
b.7.69
Step-by-step explanation:
188/4=29.5
29.5 gal per mile
227/29.5=7.69
Step-by-step explanation:
Apply Quoteint of Powers. Divide the intergers. serpately.
Note that Quotient of Powers is
So the answer is
The answer is
or
