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vredina [299]
3 years ago
15

What is the form of the Difference of Cubes identity?

Mathematics
2 answers:
Scilla [17]3 years ago
5 0
The answer is D. I hope this is right.
scoray [572]3 years ago
4 0

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes , when taken individually:

→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.

I will show you , how this identity is valid.

Taking R H S

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³ -ab²

Cancelling  like terms , we get

= a³ - b³

= L H S



You might be interested in
Please help me out please
IgorLugansk [536]

Answer:

h=20

Step-by-step explanation:

h=3 (V/lw)

h= 3 (960/12*12)

7 0
3 years ago
A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that
mafiozo [28]

Answer:

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

= 1/5

7 0
3 years ago
Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t
soldi70 [24.7K]

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

8 0
3 years ago
Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)
Triss [41]

Answer:

tan(-1) \approx -0.02

Step-by-step explanation:

The given expression is

tan(-1)

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of \pi, where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at x=-1, the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

tan(-1) \approx -0.02

6 0
3 years ago
The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is
Alborosie

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

P(A\cap B)=P(A)\cdot P(B)

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., P(A\cap B), therefore P(A\cap B)=P(A)\cdot P(B).

Hence, the correct option is A.

5 0
3 years ago
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