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Naya [18.7K]
2 years ago
8

Polynomial function f(x) has only 3 real roots. It has a root at −3 and a double root at 4. It has a y-intercept of 24. Which eq

uation represents f(x) ?
Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

f(x) = (1/2) (x + 3)(x - 4)^2

Step-by-step explanation:

f(x) = C(x + 3)(x - 4)^2

y-intercept = f(0) = C(3)(-4)^2 = 48C = 24, so C = 1/2

f(x) = (1/2) (x + 3)(x - 4)^2

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Answer:

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Step-by-step explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >.  Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3                      y > 1/2x - 3

0 < 1/2(0) - 3                   0 > 1/2(0) - 3

0 < -3                              0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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We can use the FOIL method to simplify.

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Step-by-step explanation:

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Step-by-step explanation:

Hope this help:)

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