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Alex
3 years ago
6

Clark buys 4 pints of ice cream for $16.39 . What is the cost per cup of ice cream? Round your answer to the nearest, cent if ne

cessary. Which answer is correct, show your work.
$2.05
$8.20
$65.56
$131.12
Mathematics
1 answer:
solniwko [45]3 years ago
8 0
Hello! We can go ahead and eliminate C and D, because those answers don't make any sense. There are 2 cups in 1 pint and there are 4 pints. 2 * 4 is 8. There are 8 cups in 4 pints. The cost for that much ice cream is $16.39. To dins the cost per cup, let's divide that number by the number of cups, which is 8. 16.39/8 is 2.04875 or 2.05 when rounded to the nearest hundredth. The cost for a cup of ice cream is $2.05. The answer is A: $2.05.
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See below

Step-by-step explanation:

For the model function f(x)=a|x-h|+k, (h,k) is the vertex, and a is the horizontal growth or shrink factor.

We know that our vertex is (-1.5,0) from our graph, so we'll need to determine the value of a by using one of the points on the graph:

f(x)=a|x-h|+k\\\\f(x)=a|x-(-1.5)|+0\\\\f(x)=a|x+1.5|\\\\f(0)=a|0+1.5|\\\\3=a|1.5|\\\\3=1.5a\\\\2=a

Thus, our equation for the given graph is f(x)=2|x+1.5|.

The domain of a function is the set of all existing real x-values, thus, our domain for the given function is (-\infty,\infty), or all real x-values.

The range of a function is the set of all existing real y-values, thus, our range for the given function is [-1,\infty), or all real y-values starting with y=-1 which is included.

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2 years ago
Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?
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Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

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Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.

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