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3 years ago

Which is the graph of x – y = 1

Mathematics

1 answer:

MaRussiya [10]3 years ago

6 0

Answer:

option 3 or c

Step-by-step explanation:

idk add a graph

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

A bag of pecans costs $3.84. If

Stels [109]

Answer:

10.4 cents

Step-by-step explanation:

40 pecans/$3.84 gives you pecans per dollar

6 0

3 years ago

CAN YOU ALSO HELP ME WITH THIS: 2x/4 + 3/8 = x/ 16- 3/2

Svetach [21]

Answer: x = − 30 7 Decimal Form : x = − 4. ¯¯¯¯¯¯¯¯¯¯¯¯ 285714 Mixed Number Form : x = − 4 2 7

Step-by-step explanation:

3 0

3 years ago

H+6.9+11.4 a 4.0 b 4.5 c 5.0 d 5.5

antiseptic1488 [7]

Could you please express this question better, I don't seem to understand the objective.

4 0

3 years ago

Which of the equations is graphed below?

Grace [21]

so you for sure cross off the 1st and 3rd problem off and if you choose the last one your answer would be in th left side of the y axis so it the 2nd answer

3 0

3 years ago

Read 2 more answers