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3 years ago

Which procedure correctly simplifles the expression ? -(x+3) -2(4x-3)

Mathematics

2 answers:

ryzh [129]3 years ago

5 0

Answer: −9x+3

Step-by-step explanation:

noname [10]3 years ago

4 0

Answer:

the answer would be A

Step-by-step explanation:

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago

The following foreign adoptions (in the United States) occurred during these particular years. 2006 2010China 63403465Ethiopia 7

worty [1.4K]

Answer: P(Ethiopia 2010) = 0.3580

Step-by-step explanation:

Please find the attached file for the solution.

8 0

3 years ago

Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers e

Mrrafil [7]

Part A: The system of equations to shows each person's subscribers is:

S = 100 + 8x

A = 220 + 3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S = 100 + 8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A = 220 + 3x....................(2)

If Sam and Alex have the same number of subscribers:

S = A

100 + 8x = 220 + 3x

8x - 3x = 220 - 100

5x = 120

x = 120/5

x = 24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S = 100 + 8(24)

S = 292

Sam and Alex will have 292 subscribers when their subscriber count is equal

Learn more here: brainly.com/question/25898415

8 0

3 years ago

Coffee and bagels equal three dollars . Let x represent the number of customers who order coffee and bagel. How much money will

vladimir1956 [14]

Answer:

r = 3x

Step-by-step explanation:

If Bob's Bagels makes $3 from each order, then their revenue (r) for x orders will be ...

r = 3x

3 0

3 years ago

32 over x = -2 what is X

Contact [7]

Answer:

x+-16

Step-by-step explanation:

4 0

4 years ago