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3 years ago

Quadratic formula of -2x^2+x+8=0

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

x= 1/4 +(-1/4) √65 or x= 1/4 + 1/4 √65

Step-by-step explanation:

x= −b±√b2−4ac /2a

x= −(1)±√(1)2−4(−2)(8) /2(−2)

x= −1±√65 /−4

x= 1/4 +(-1/4) √65 or x= 1/4 + 1/4 √65

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A parking lot contains 100 cars , k of which happen to be lemons. we select m of these cars

Sunny_sXe [5.5K]

Given that a parking lot contains 100 cars, k of which happen to be lemons.

This is a conditional probability question.

Let event A be that a car is tested and event B be that a car is lemon.

The probability that a car is lemon is given by $\frac{k}{100}$

The probability that a car is tested is given by $\frac{m}{100}$

The probability that a car is lemon and it is tested is given by $\frac{n}{m}$

For a conditional probability, the probablility of event A given event B is given by:

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

Therefore, the probability that a car is lemon, given that it is tested is given by.

$P(lemon|tested)= \frac{P(lemon\, and\, tested)}{P(tested)} \\ \\ = \frac{ \frac{n}{m} }{ \frac{m}{100} } = \frac{n}{m} \times \frac{100}{m} = \frac{100n}{m^2}$

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3 years ago

What is the 12th term of the sequence 3,6,12,24....

Sati [7]

$a_{0}$ =3

r=common ratio: 12/6=2; 6/3=2

r=2, $a_{n}$ = $2^{n-1}$ *3

plug in 12 for n:

$a_{12}$ = $2^{12-1}$ *3

$a_{12}$ = $2^{11}$ *3

$a_{12}$ =2048*3

$a_{12}$ =6144

The twelfth term in the sequence is 6144

7 0

3 years ago

Read 2 more answers

Which equations are correct?

Leno4ka [110]

9514 1404 393

Answer:

C, D

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

The correct equations are the last two.

For the first two, the appropriate products are ...

$4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7$

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3 years ago

There are many properties of exponents. These properties are used to make problems with exponents simpler.

Stels [109]

Answer:

Power of a Quotient.

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3 years ago

Provider A changes $55 for installation and charges $35.50 per month for the basic package. Provider B offers free installation

Igoryamba

Let n = number of months both have their services

Provider A:

C = 35.50n + 55

Provider B:

B = 35.50n

Provider A will always cost more than

provider B because of the $55 installation fee

3 0

3 years ago