For this case we have the following variables:
x: the number of minutes of television Sam watched each day
y: the number of minutes she spent exercising
Then, we have the following function that models the problem:
if she spends 30 minutes watching television we have x = 30.
Substituting in the given equation we have:
Answer:
the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day is:
72 minutes
Answer:
A Juan le quedan 45 empanadas.
Step-by-step explanation:
Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:
180 x 2 / 3 = 120
180 - 120 = 60
60 x 1/4 = 15
60 - 15 = 45
Por lo tanto, a Juan le quedan 45 empanadas.
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 3x² - x + 5
g(x) = 2x - 3
<u>Step 2: Find f(x) - g(x)</u>
- Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
- [Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
- [Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
- [Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8
