Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

Answer:

Anya's line has a slope of m = 3

Step-by-step explanation:

Explanation:-

Anya created a graph representing the line

                             (y−2)=3(x−1)

From this, we can deduce that the slope-intercept representation is

                                y = mx +c

Now by rewriting Anya's line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

<pBy comparing this with the slope-intercept structure<p                         y = mx +c<pwe conclude that Anya's slope is m = 3, and y-intercept is C = -1

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

E+7 indicates 10 raised to the power of 7, which entails shifting the decimal 7 places to the right, resulting in approximately 38200000.0.

Detailed explanation:

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Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain (3b + 2)² = 16. By taking the square root of both sides, we derive two cases: (3b + 2) = 4 and (3b + 2) = -4. Solving each equation for b yields: 3b = 2 or 3b = -6, leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.