The volume of this rectangular prism is 5x2. What does the coefficient 5

Mathematics

1 answer:

Tju [1.3M]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume should be 5x^3.

The length is 5x and the width is x so the length is 5 times the width.

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6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :