The table represents a linear equation.which equation shows how (-10,8) can be used to write the equation of this line is point-

Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

To find:

The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

Multiply both sides by 2.

Add 9 to both sides.

Consequently, the other zero of the quadratic function is concluded to be 2.

Answer:

Yes, the cost in dollars and the quantity of yogurt are indeed proportional.

The relationship can be expressed as:

Step-by-step explanation:

1. If varies directly with , it can be represented as:

Here, represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that and , we have:

3. Thus, the equation becomes:

4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

5. They are indeed directly proportional.

Answer:

Step-by-step explanation:

Given that the triangle's height measures 8 and the base length is 3, we can apply the concept of similar triangles to represent the base of the smaller triangle in relation to h.

The height of the smaller triangle will be .

Denote x as the base of the smaller triangle. Thus, by utilizing the properties of similar triangles, we can establish ratios of the corresponding sides as illustrated below:

This allows us to express the area of the small strip with length x and thickness Dh as follows:

The desired Riemann sum can be articulated as:

The necessary areas can be represented as:

Your remaining answers are accurate.:)