The piecewise function is
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
<h3>How to determine the piecewise function?</h3>
From the question, we have:
Fares = $2.00 ⇒ up to (and including) 1/2 miles
Fares = $0.70 increment ⇒ greater than 1/2 miles
Let x represent the number of miles, and f(x) the fares.
So, we have:
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
The above represents the piecewise function
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Answer:
640 ounces
Step-by-step explanation:
128 fluid ounces per gallon x 5 gallons = 640 ounces
640 /100 = 6.4 ounces per balloon
Answer:

Step-by-step explanation:
Given


Required
Represent the additional time needed as an inequality
Convert the previous time to minutes




Let the additional time be t
<em>This means that she needs to run at least t minutes to beat her previous record</em>
<em />
To beat her previous record, the sum of current time and x must be less than her previous time. i.e.

This can be rewritten as:

856896858765878567575697056785609759867890568765097685
Respuesta:
1089,75 kg
Explicación paso a paso:
Dado que :
Masa de embotellado lleno = 1090 kg
Masa de la botella vacía = 250 g
Masa de aceite que contiene la botella:
Expresando la masa de la botella cuando se llena en gramos:
1000 g = 1 kg
1090 kg = (1090 * 1000) = 1090000 g
La masa de aceite que contiene la botella es así:
Masa de la botella cuando está llena - masa de la botella cuando está vacía
1090000 g - 250 g = 1089750 g
Por tanto, la masa de aceite es 1089750 g
O 1089750/1000 = 1089,75 kg