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True [87]
3 years ago
9

Y=2x+6 and y=-3x+16 for solving the system

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0
Substitution

Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.

Step 2: Plug in 2x + 6 into the opposite equation.

   2x + 6 = -3x + 16
         - 6              - 6
------------------------------
   2x = -3x + 10
+ 3x  + 3x
------------------------------
   5x  =  10
 ------   ------
    5        5

x = 2

Step 3: Plug in the x value into either equation.

y = 2(2) + 6
y = 4 + 6
y = 10

The final answer gets expressed as a coordinate pair: (x,y) (2,10)

I hope this helps you :)




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Barton reads part of a book every night before he goes to bed. The graph shows the number of chapters that he reads over time.
Grace [21]

The unit rate is the rate of change per day or the slope.


To get the slope of the line, we use the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (x_{1},y_{1}) is point 1 on the line and tex](x_{2},y_{2})[/tex] is point 2 on the line.

Let's take 2 points from the line and calculate the slope. We will take the points (0,0) and (1,3) (any two points on the line will give the correct answer).

m=\frac{3-0}{1-0} \\m=\frac{3}{1}\\m=3

<u>This means Barton reads 3 chapters per day. Answer choice C is right.</u>


ANSWER: C

8 0
3 years ago
Which equation of the least squares regression line most closely matches the data set?
Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

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4 years ago
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Answer:

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15,   -2x + 14

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3/4x+3x+2-1/2=

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8 0
3 years ago
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Whats the slope of the graph hurry !
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Answer:

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Here is the answer of the given question above.
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