Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
You will need more information for people to answer this, and it depends on how big each piece is.
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
Answer:
This is an exponential function
Step-by-step explanation:
f(x)=2(3)^x is one example of the exponential function. Since f(0) = 2(1) = 2, the y-intercept is (0, 2). The x-axis is the horizontal asymptote. The graph begins in Quadrant II, passes through (0, 2) and continues to increase, faster and faster, in Quadrant I. Next time, please be more specific about what you'd like to know.
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation: