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3 years ago

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Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

.........................

shepuryov [24]3 years ago

7 0

Answer:

Step-by-step explanation:

yes

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Convert 0/17 to a decimal

kicyunya [14]

Answer:

Step-by-step explanation:

0 divided by anything is 0.

7 0

4 years ago

Read 2 more answers

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

URGENT !!!!

vaieri [72.5K]

He has 69 lb of carrots left when he closes

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4 years ago

In a particular list of three-digit perfect squares, the first perfect square can be turned into each of the others by rearrangi

kiruha [24]

The Answer is Three.

That's the largest nmber of 3-digit perfect squares that could be on the list.

The list is so;

169 = 13²

196 = 14²

961 = 31²

The thre numbers, 1, 6, and 9 can be rearranged three ways to form three 3-digit perfect squares in 169, 196, and 961. No other arrangement of a 3-digit perfect square can yield more or equal.

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3 years ago

If a1 = 8 and an<br> An-1 + 2 then find the value of a4.

mote1985 [20]

9514 1404 393

Answer:

a4 = 14

Step-by-step explanation:

Use the recursive definition repeatedly.

a1 = 8

a2 = a1 +2 = 8 +2 = 10

a3 = 10 +2 = 12

a4 = 12 +2 = 14

_____

The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...

an = 8 + 2(n-1)

Then a4 is ...

a4 = 8 +2(4 -1) = 8+6

a4 = 14

5 0

3 years ago