Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply.

Response:

Four dollars or 400 cents

Detailed Explanation:

Since 2 multiplied by 10 equals 20, you can take 40 and also multiply it by 10 for the correct total.

Response:

• Refer to the attached graph

• x₁ ≈ - 2.1

• x₂ ≈ 0.2

Clarification:

To analyze log (−5.6x + 1.3) = −1 − x visually, graph these equations on the same coordinate system:

• Equation 1: y = log (5.6x + 1.3)

• Equation 2: y = - 1 - x

The first equation can be graphed using these characteristics of logarithmic functions:

• Domain: values must be positive ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)

• Range: all real values (- ∞, ∞)

• x-intercept:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒ x = 0.3/5.6 ≈ 0.054

• y-intercept:

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

• Choose additional values to create a table:

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

• This graph is shown in the attached image: it's represented by the red curve.

Graphing the second equation is simpler as it forms a straight line: y = - 1 - x

• slope, m = - 1 (the coefficient of x)

• y-intercept, b = - 1 (the constant term)

• x-intercept: y = 0 = - 1 - x ⇒ x = - 1

• This graph is indicated by the blue line in the image.

The resolution to the equations corresponds to the points where the two graphs intersect. The graphing method thus allows you to determine the x coordinates of these intersection points. Ordered from smallest to largest, rounded to the nearest tenth, we have:

• x₁ ≈ - 2.1

• x₂ ≈ 0.2

The function

represents a parabola positioned at the vertex (5, 3).

Attached here is the graph depicting this function.

Response:

24.2 (rounded to the nearest tenth)

Detailed breakdown:

The data type involved is ungrouped

standard deviation =√ [∑ (x-μ)² / n]

average (μ)=∑x/n

           =

          =33.3

For the values 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84, the x-μ results will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

Calculating (x-μ)² gives: 800.89, 800.89, 745.29, 453.69, 53.29, 13.69, 246.49, 313.29, 515.29, 515.29, 2570.49

Then, ∑ (x-μ)² results in = 7028.59

Thus, standard deviation = √(7028.59 / 12)

                      =24.2

     

The answer is $300,000. Detailed calculation: Labor cost = $11,000; Parking cost = $7,000; Therefore, Parking Labor cost = $18,000. The parking labor cost represents 6% of the parking revenue. Thus, 6% = Parking Labor cost / Parking Revenue. By substituting, we get 6/100 = $18,000 / Parking Revenue. Solving for Parking Revenue yields: Parking Revenue = (100 × $18,000) / 6 = $300,000.