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3 years ago

Factor 6x^2+x-2/ 3x^2+14x+8

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Split the second term in 6x^2 + x - 2 into two terms

6x^3 + 4x - 3x - 2/3x^2 + 14x + 8

Factor out the common terms in the first two term, then in the last two terms

2x(3x + 2) - (3x + 2)/3x^2 + 14x + 8

Factor out the common term 3x + 2

(3x + 2)(2x - 1)/3x^2 + 14x + 8

Split the second term in 3x^2 + 14x + 8 into two terms

(3x + 2)(2x - 1)/3x^2 + 12x + 2x + 8

Factor out common terms in the first two terms, then in the last two terms

(3x + 2)(2x - 1)/3x(x + 4) + 2(x + 4)

Factor out the common term x + 4

(3x + 2)(2x - 1)/(x + 4)(3x + 2)

Cancel 3x + 2

2x - 1/x + 4

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2 years ago

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Help me with this pleaseee…!

masya89 [10]

Answer:

All real numbers

Step-by-step explanation:

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We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

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$x\geq 2\\and\\x\leq 2\\and\\x\geq -4$

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2 years ago

What is the value of x in the equation 4x+8y=40 when y = 0.8

fgiga [73]

When y=0.8

4x +8(0.8) =40

-> 4x +6.4 =40

-> 4x = 33.4

-> x=33.4/4

-> x=8.35

Hope it helps...

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8 0

3 years ago

789/548x-89/887=688/8724 find x

Olin [163]

$\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}$

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

$\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}$

so:

$\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}$

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0

2 years ago

What is the distance from the pier to the lighthouse?

bezimeni [28]

Answer:

$\sqrt{58}$

Step-by-step explanation:

PL^2 =7^2 +3^2

PL^2=49+9

PL=

$\sqrt{58}$

4 0

3 years ago