Dan said that if a quadratic equation does not have any real solutions , it is not a function . Critique his reasoning

1 answer:

8 0

Solutions of a quadratic functions are x-intercepts, or when y equals zero. A graph with its maximum (highest point) below the x-axis or a graph with its minimum (lowest point) above the x-axis never touches or crosses the x-axis, so it has no real solutions. It is still a quadratic function, as long as it has a variable to the second power (definition of quadratic) and passes the vertical line test (definition of function).

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A. 12 b. 14 c. 8 d. 6

jolli1 [7]

Answer:

d. 6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

7×12 = (3x)(7x)

4 = x² . . . . . . . . . divide by 21

2 = x . . . . . . . . . . take the square root

PD = 3x = 3·2

PD = 6

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zubka84 [21]

Answer:

at first we put the numbers in order from least to greatest

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3 years ago

The first tern of an arithmetic sequence is -3 and the fifteenth term id 53. What is the common difference of the sequence?

arsen [322]

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Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogeth

TiliK225 [7]

Answer:

2 rides & 4 games

Step-by-step explanation:

2 rides=$8

4 games=$8

8+8=$16

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