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Serhud [2]
3 years ago
6

What would be the answer to this question

Mathematics
2 answers:
Vilka [71]3 years ago
5 0

Answer:

The third one is the one I would choose

Hope this helped :)

Step-by-step explanation:

MArishka [77]3 years ago
3 0

Answer:

B

Step-by-step explanation:

(\frac{f}{g})(x)

= \frac{3x+5}{3x^2-x-10} ← factor denominator

= \frac{3x+5}{(x-2)(3x+5)} ← cancel (3x + 5), leaving

= \frac{1}{x-2}

The denominator cannot be zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 2 = 0 ⇒ x = 2 ← excluded value

domain is the set of all real numbers except 2

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Corresponding angles of AABC and ADEF are congruent. Does this prove that the triangles are congruent? Justify.
Ira Lisetskai [31]

Answer:

Hi can you please tell of which grade question is this ?

7 0
3 years ago
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HELP!!!!!
Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

y=\frac{1}{3}(x+6)

Applying distributive property,

y=\frac{1}{3}x+2

Line 2:

y-6 = 3x\\\rightarrow y=3x+6

Line 3:

y=-3(x-4)

Applying  distributive property,

y=-3x+12

Line 4:

3y+18=x

re-arranging,

3y=x-18\\y=\frac{1}{3}x-6

Now we have rewritten all the lines in the form y=mx+q, where m is the slope. By comparing the values of m, we see:

m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}

Therefore, the lines which are parallel are line 1 and line 4.

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

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7 0
3 years ago
The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as
bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

8 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its so
Anon25 [30]

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

  • Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
  • We have to solve all of the five equations to be able to match the equations with their solutions.
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  • 2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
  • 2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.
  • 2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.
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8 0
3 years ago
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-1.25 x 77.5 multiply integers.
Elden [556K]

Answer:

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Step-by-step explanation:

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