The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for th

Answer:

y

y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction

Explicación paso a paso:

La ecuación cuadrática que tenemos es (4y - 3)² = 72

Debemos encontrar el valor de y.

Ahora, 4y - 3 = ± 6√2

⇒ 4y = 3 ± 6√2

⇒ y

Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)

Answer:

Upon solving for y, we find:

By substitution, we have:

Thus, we arrive at:

And for x, we determine:

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

Here, x denotes the length and y the width. The following conditions can be established:

Substituting these values yields:

When we solve for y, we find:

By substitution, we obtain:

Thus, we conclude:

The length is found to be 76, while the width measures 12.5.

Response:

A quadratic equation has solutions of 6 and -2.

Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).

Thus, the equation can be represented as

(Response)

Answer:

When point M (h, k) is rotated 180° around the origin O, its new position becomes M' (-h, -k). The signs of the coordinates are inverted.

In the graph provided, point H' is located at (-3,-2). Its corresponding pre-image, point H, will have coordinates that are the opposite signs of point H'.

Thus, coordinates of point H will be (3,2).

Step-by-step explanation: