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SVEN [57.7K]
2 years ago
7

Given f(x)=1/3x2−1 and g(x)=f(x−5), write an equation that represents g in terms of x.

Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0

Answer:

(fx^2)/3 - 6f

Step-by-step explanation:

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Find all real solutions:<br> x² - x - 12 = 0
Andrej [43]
Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4
8 0
2 years ago
Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

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1 year ago
Find the volume of the box
Rudik [331]

answer is B. detrjrajaetkterjaejq

6 0
2 years ago
HELP ME PLEASE I NEED AN ANSWER I'LL PICK A BRAINLIEST PERSON!!!
8090 [49]
After you solve it you get B

3 0
3 years ago
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Hii pls help i’ll give brainliest if you give a correct answer
allochka39001 [22]

Answer:

A

Step-by-step explanation:

The Moon actually takes 27.3 days to complete one orbit around Earth

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