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3 years ago

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

Step-by-step explanation:

From points (-5,0),(1,0),(4,0) we know it has the form

y=(x+5)(x-1)(x-4)

y=(x^2+4x-5)(x-4)

y=x^3-4x^2+4x^2-16x-5x+20

y=x^3-21x+20

Then it must pass through the point (2,-2) so

-2=[2^3-21(2)+20]b

-2=[8-42+20]b

-2=[-14]b

b=1/7 so the equation is

y=(x^3-21x+20)/7

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3 years ago

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4 years ago

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3 years ago

A machine produces small cans that are used for baked beans. The probabil- ity that the can is in perfect shape is 0.9. The prob

Elis [28]

Answer:

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Shipped for use

Event B: Perfect shape

Probability of being shipped for use:

Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

$P(A) = 0.9 + 0.02 = 0.92$

Being shipped for use and being in perfect shape.

0.9 probability, so $P(A \cap B) = 0.9$

What is the probability that a can that gets shipped for use will be of perfect shape?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783$

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3 years ago

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Bumek [7]

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

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3 years ago

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)​

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)