Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. select all that apply.
the quadratic function, y = x2, has an x-intercept at the origin
the quadratic function, y = x2 + 3, has an x-intercept at the origin
from x = -2 to x = 0, the average rate of change for both functions is positive
from x = -2 to x = 0, the average rate of change for both functions is negative
for the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function.
for the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

The quadratic function, , has an x-intercept at the origin

From to , the average rate of change for both functions is negative

For the quadratic function, , the coordinate is a solution to the equation of the function

Step-by-step explanation:

we have the quadratic functions

Verify each statement

case A) The quadratic function, , has an x-intercept at the origin

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The point represent and x-intercept and a y-intercept

therefore

The statement is True

case B) The quadratic function, , has an x-intercept at the origin

The quadratic function, has no x-intercept

so

The statement is False

case C) From to , the average rate of change for both functions is positive

Observing the graph from to , the average rate of change for both functions is negative

so

The statement is False

case D) From to , the average rate of change for both functions is negative

The statement is True

case E) For the quadratic function, , the coordinate is a solution to the equation of the function

we know that

If a ordered pair is a solution of the quadratic function

then

the ordered pair must be satisfy the quadratic equation

Substitute the value of x and the value of y in the quadratic function and then compare

------> is not true

The ordered pair is not a solution

so

The statement is False

case F) For the quadratic function, , the coordinate is a solution to the equation of the function

we know that

If a ordered pair is a solution of the quadratic function

then

the ordered pair must be satisfy the quadratic equation

Substitute the value of x and the value of y in the quadratic function and then compare

------> is true

The ordered pair is a solution

so

The statement is True

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.