Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.

The possible sets of integers that yield a product of -11 include (-1, 1, 11), (-11, -1, -1), and (-11, 1, 1). An integer can be understood as a whole number encompassing zero, both positive and negative values. Given that the product should equal −11, and knowing the factors of 11 are 1 and 11, we conclude with the different possible integer combinations.

Response:

The volume of oil in milliliters is 1,324.5.

Detailed explanation:

Volume of olive oil = 1.4 qt = 1.4 Quarts

And it is known that 1 Liter equals 1.057 Quarts.

1 L = 1.057 Quarts

Hence, 1.4 Quarts converts to:

1 Liter corresponds to 1000 milliliters.

1 L = 1000 mL

Consequently, the volume of oil in milliliters equals 1,324.5.

5B + B = 20

6B = 20

B = 20 ÷ 6

= 10/3 hours

Then, A = 5 × (10/3 + 2)

= 5 × (16/3)

= 80/3 hours

Therefore, Brian traveled for 10/3 hours, and Annie traveled for 80/3 hours.

Response: The solution is f(x) = (x-3)²-h = (x-3-√h)(x-3+√h).

Detailed explanation: We are tasked with writing a quadratic equation in factored format that has a vertex at an x-coordinate of 3 and two separate roots.

A quadratic function with a vertex at x-coordinate k is represented in the form of a parabola:

In this case, both 'k' and 'h' are real numbers.

Given that the vertex's x-coordinate is 3, we have k = 3.

Consequently, the quadratic function can be expressed as

This represents the required factored form for the quadratic equation.

Refer to the included graph where the vertex has an x-coordinate of 3, and h is assumed to be 2 units.

9 Step-by-step explanation: 3x3= 9 (X3x3x3) =9p