Which is the solution of the quadratic equation (4y-3)^2=72 ?

Answer:

Rotate triangle A about the point (1.5, -0.5) by 180°.

Step-by-step explanation:

Translating a figure by a vector means shifting it 3 units left along the x-axis and 1 unit up along the y-axis.

The translation rule can be expressed as:

(x, y) → [(x - 3), (y + 1)]

Based on the provided figure,

The coordinates of triangle A are A(1, -1), B(1, -4) and C(3, -4)

Post-translation, the new coordinates are A'(-2, 0), B'(-2, -3), C'(0, -3).

Next, applying a 180° rotation to these new points about the origin gives:

Rotation rule:

(x, y) → (-x, -y)

A'(-2, 0) → A"(2, 0)

B'(-2, -3) → B"(2, 3)

C'(0, -3) → C"(0, 3)

Thus, the transformation A(1, -1) → A"(2, 0) represents the entire transformation.

The rule defining the transformation mapping triangle C to A would be expressed as:

Rotate triangle A about the point (1.5, -0.5) by 180°.

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as , where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

Answer:

The attached image provides the answer.

The previous response led me to a mistake, so I want to ensure you have the correct answer. ):)

Step-by-step explanation:

Duration = distance ÷ velocity
duration = (5 1/5) ÷ (8 2/3)
duration = (26/5) ÷ (26/3)
        = 26/5 × 3/26
        = 3/5 of an hour <===

Greetings!

Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.

I hope this helps!
<span>Best of luck:) </span>

<span>- Hannah ❤</span>