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pentagon [3]
3 years ago
10

3y+3 (1-y)-y=-6PLEASE help

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
3y+4+3y-y=-6
6y-y+4=-6
5y+4=-6
5y=-10
y=-2
If you have any questions let me know
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How many solutions does this system have? y=3/4x-5 -3x+4y=-20?
lisov135 [29]

Answer:

infinite

Step-by-step explanation:

If you multiply all factors in the secon eqation by 4, you will get the first eqation.

Therefore for any value of x you can find y, thus having an infinite number of x,y pairs

8 0
3 years ago
Find the mean median mode and range for the following data 77 60 59 70 89 95
Advocard [28]

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

  • 77,60,59,70,89,95

Sort:

  • 59,60,70,77,89,95

To find:

  • Mean
  • Median
  • Mode
  • Range

Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

Thus:

\displaystyle \large{95-59 = 36}

Therefore, range = 36

7 0
2 years ago
Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice
Alexxx [7]

Answer:

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

5 0
3 years ago
May runs 10/4 miles everyday after school. Beth says she runs further because she runs 5/2 miles everyday after school. Is her s
Andrew [12]

Answer:

Her statement is not correct.

Step-by-step explanation:

It is not correct because if you simplify 10/4 it comes out to 5/2 therefore 5/2=5/2.

Beth and May run the same amount.

4 0
3 years ago
16. simplify the rational expression. state any excluded values. x^2-x-6/x+2
belka [17]
X^2-X-6=(X-3)(X+2)
(X+2)/(x+2)=1
Which just leaves (x-3)
X=3
5 0
3 years ago
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