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GarryVolchara [31]
3 years ago
5

(x^2+3x+1)(x^2-2x+5)

Mathematics
1 answer:
deff fn [24]3 years ago
5 0

Answer:

x^4 + x^3 + 13x + 5

Step-by-step explanation:

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Please this urgent!!​
Papessa [141]

Answer:

Step-by-step explanation:

1)First convert mixed fraction to improper fraction and them prime factorize

6\frac{1}{4} = \frac{25}{4}\\

\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\

2)

(2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}

3) 0.00706 = 7.06 * 10^{-3}

<em>4)</em> 144 = 12 * 12

12 = 6*2

6 = 2*3

Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2

                                          = 2⁴ * 3²

5) To find LCM, prime factorize 96 & 144

96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3

144 = 2⁴ * 3²

LCM = 2⁵ * 3² = 32 * 9 = 288

6) HCF

105 = 7 * 5 * 3

135 = 5 * 3* 3 * 3

180 = 5 * 3 * 3 * 2 * 2

HCF = 5 * 3 = 15

7) 24 = 3 * 2 * 2 * 2 = 3 * 2³

   36 = 3 * 3 * 2 * 2 = 3² * 2²

   40 = 5 * 2 * 2 * 2 = 5 * 2³

LCM = 5 * 2³ * 3² = 5 * 8 * 9  = 360

HCF = 2² = 4

Difference = 360 - 4 = 356

8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all

1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15

Ans: 15

9) 36₇ = 102₅

10) 6.9163 = 6.916

6 0
4 years ago
Read 2 more answers
Given the sequence 12, 9, 6, 3,........ where x = 0, 1, 2......,
Nitella [24]

Answer:

f(x) = -3x + 12

Step-by-step explanation:

The chart could be represented like this:

x             y

0            12

1             9

2            6

3            3

Suppose that f(x) = y

And substitute x values.

y = -3x + 12

"x = 0"

y = -3(0) + 12

y = 0 + 12

y = 12

"x = 3"

y = -3(3) + 12

y = -9 + 12

y = 3

From the results, it corresponds to the function.

4 0
4 years ago
Mary's age is 3 years less than twice her brother's age. Mary is 11. How old is her brother?
Finger [1]
Her brother is 28 bc u add on 3 years to Mary so 14 and times that by 2 to get 28
8 0
4 years ago
Read 2 more answers
How many solutions is in 8x=0
torisob [31]

Answer:

0

Step-by-step explanation:

8 0
3 years ago
Simplify 3 divided by 5-6i
Shtirlitz [24]

Answer:

\frac{15}{61}+\frac{18}{61}i

Step-by-step explanation:

\frac{3}{5-6i}

To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}

Keep in mind when multiplying conjugates you only have to multiply first and last.

That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.

(a+b) and (a-b) are conjugates

Let's multiply now:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}=\frac{3(5+6i)}{25-36i^2}

i^2=-1

\frac{15+18i}{25-36(-1)}

\frac{15+18i}{25+36}

\frac{15+18i}{61}

\frac{15}{61}+\frac{18}{61}i

5 0
3 years ago
Read 2 more answers
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