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nalin [4]
2 years ago
6

Simplify the expression: 1/2 (6y – 8) – (12y – 16) + 7

Mathematics
2 answers:
sergejj [24]2 years ago
5 0
Answer: -9y+19

Explanation:

Factor 2 from the expression

When there is a in front of an expression in parentheses, change the sign of each term in the expression

Reduce the numbers with the greatest common factor 2

Remove unnecessary parentheses

Combine like terms

Calculate the sum or difference
Dennis_Churaev [7]2 years ago
3 0

Answer:

-9y+19

Step-by-step explanation:

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55.76-50.38=4.38 inches of rainfall
Your welcome  =)
difference= subtraction
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It takes 12 men 5 days to complete a job
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It will take 3 men 20 days to complete the job.

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Read 2 more answers
A cell phone company has three different production sites.
dlinn [17]

Answer:

3/11

Step-by-step explanation:

given that a cell phone company has three different production sites

Site name                    1                              2                     3               Total

Production                  60%                         30%                10%             100%

Recalled                        5%                           7%                   9%                  

Prob for recall            0.003                       0.021             0.009         0.033

Total probability for recall = 0.033

Prob for recall and came from site 3 = 0.009

So required probability

= If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3

=\frac{0.009}{0.033} \\=\frac{3}{11}

4 0
3 years ago
The distance between the Town Hall and the Post Office is 4 km, and the distance between
Sophie [7]

Answer:

1cm: 1 km

Step-by-step explanation:

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5 0
3 years ago
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ
Georgia [21]

The y-intercept of a function is the point where the graph crosses the \mathbf{y = x^3 + 2x^2 - 193x - 270 }

  • The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
  • The y-intercept is -13.5
  • The standard equation of the function is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

The points are:

\mathbf{x = 10}

\mathbf{x = -3}

\mathbf{x = -9}

Equate the above points to 0

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

<u>(b) The y-intercept</u>

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

<u>(c) The standard form</u>

In (a), we have:

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Multiply the above equations

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }

Expand

\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }

\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }

Expand

\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }

Collect like terms

\mathbf{x^3 + 12x^2 - 10x^2+ 27x  - 220x - 270 = 0 }

\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }

Replace 0 with y

\mathbf{y = x^3 + 2x^2 - 193x - 270 }

Hence, the standard form is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

Read more about graphs and functions at:

brainly.com/question/18806107

3 0
2 years ago
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