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Usimov [2.4K]
3 years ago
11

How do I simplify this?​

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

Domain: all real numbers except 0 and -3

Vertical asymptotes: x = 0; x = -3

Step-by-step explanation:

The domain is the set of numbers that can be substituted for x.

The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator.  To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.

2x^2 + 6x = 0

Factor 2x.

2x(x + 3) = 0

Divide both sides by 2.

x(x + 3) = 0

x = 0 or x + 3 = 0

x = 0 or x = -3

Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.

Domain: all real numbers except 0 and -3

The vertical asymptotes happen at the x values excluded from the domain.

Vertical asymptotes: x = 0; x = -3

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2(x-5)+8=4<br><br>what does x equal?​
Ostrovityanka [42]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−5)+8=4

(2)(x)+(2)(−5)+8=4(Distribute)

2x+−10+8=4

(2x)+(−10+8)=4(Combine Like Terms)

2x+−2=4

2x−2=4

Step 2: Add 2 to both sides.

2x−2+2=4+2

2x=6

Step 3: Divide both sides by 2.

2x/2 = 6/2

x=3

7 0
3 years ago
kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the near
Mila [183]

Answer: 90%

Step-by-step explanation:

54/60=0.9 0.9*100= 90

6 0
3 years ago
Read 2 more answers
Can anyone pls help me with this I'll mark as brainlist for correct answer please do explain in detail each answers Ty! (I'm pre
densk [106]

<u>Question 8</u>

a^2 + 7a + 12

= (a+3)(a+4)

When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).

An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.

a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)

= (-7 +or- sqrt(1))/2

= -3 or -4

These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).

<u>Question 10</u>

-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18

Rewrite each fraction with a common denominator so you can combine the fractions into one.

= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18

= (-6(x - y) + 9(4x - 7y) - (x + y)) /18

Expand the brackets and collect like terms.

= (-6x + 6y + 36x - 63y - x - y)/18

= (29x - 58y)/18

= 29/18 x - 29/9 y

7 0
2 years ago
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inessss [21]
I believe it’s 1.5558 x 10 to the 4th power
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2 years ago
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Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.
Alecsey [184]

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

<u>Using ∆ABD</u>

  55 +90 +2x+3 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

<u>Using ∆BCD</u>

  50 +90 +2x+8 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

<u>Using ∆ABC</u>

  55 +(2x +3) +50 +(2x +8) = 180

  4x = 64 . . . . . . . subtract 116

  x = 16

6 0
3 years ago
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