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2 years ago

Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?

Mathematics

1 answer:

maks197457 [2]2 years ago

5 0

Answer:

1) x³-y³ = (x-y)(x²-xy+y²)

2)x²-y² =(x-y)(x+y)

3)x-y = (x-y)

hcf = (x-y)

lcm = (x-y)(x²-xy+y²)(x+y)= (x³-y³)(x+y)

Step-by-step explanation:

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I) a banana because a banana has more to it

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Write an expression using distributive property that can be used to find the quotient 56 divided by 4

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2 years ago

Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,

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Answer:

$h_{n}=1.(8)^{n-1}$ will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = $\frac{\text{Second term}}{\text{First term}}$

r = $\frac{8}{1}=8$

Since explicit formula of a geometric sequence is given by

$T_{n}=a(r)^{n-1}$

where $T_{n}$ = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

$T_{n}=1.(8)^{n-1}$

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = $1.(8)^{n-1}$ then he is correct.

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Suppose you have a litter of mice which consists of 8 males and 4 females. If you randomly grab two of them, what is the probabi

tiny-mole [99]

Answer:

The probability that they are both male is 0.424 (3 d.p.)

Step-by-step explanation:

The first step is to find the probability of the first selection being male. This is calculated as number of male mice divided by total number of mice in the litter

Prob (1st male) = 8 ÷ 12 = 0.667

Next is to find the probability of the second selection also being male. Note that the question states that the first mice was selected without replacement. This means the first mouse taken results in a reduction in both the number of male mice and total number of mice in the litter.

Prob (2nd male) = (8 - 1) ÷ (12 - 1) = 7/11 = 0.636

Therefore,

Prob (1st male & 2nd male) = 0.667 × 0.636 = 0.424

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2 years ago

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0

2 years ago

Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?​

Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?