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8_murik_8 [283]
3 years ago
13

Freshman math please help as soon as possible!

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0
No, they are not correct
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Which system or equation is represented in the graph?
melamori03 [73]

Answer:

(A)\displaystyle  \begin{array}  {ccc}  \displaystyle y =  - 2 \\ x - 2y = 6\\  \end{array}

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

\displaystyle \large y =  - 2

<h3>Equation of the red line:</h3>

remember The form of equation of a line

\displaystyle \boxed{ \displaystyle  y = mx + b}

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

\displaystyle m =  \frac{ \Delta y}{ \Delta x}

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

\displaystyle m =  \frac{ 1}{ 2}

so we have figured out m and b

therefore our equation of blue line is

\displaystyle y =  \frac{1}{2} x - 3

our given options are in standard form so

move -3 to left hand side and change its sign:

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

cross multiplication:

\displaystyle 2y  + 6=  x

move 6 to right hand side and x to left hand side and change its sign

\displaystyle - x +  2y   =  -  6

multiply both sides by -1:

\displaystyle x  -   2y   =   6

hence, our system of linear equation is

\displaystyle \begin{cases}   \displaystyle y =  - 2 \\ x - 2y = 6\\ \end{cases}

3 0
3 years ago
Can someone please help me with this?
qwelly [4]

Answer:

First option is the correct answer

Second option is the correct answer

Step-by-step explanation:

Five added to a number, then divides by two equals eight

\frac{x+5}{2} = 8

Three added to one fourth of a number gives seven.

\frac{1}{4} x+3= 7

5 0
3 years ago
Read 2 more answers
Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store
mr Goodwill [35]

Answer:

one hosta=$6

one ornamental grass=$10

Step-by-step explanation:

6 10?

6*6+3*10

36+30

66

12*6+8*10

72+80=152

6 0
3 years ago
A model is made of a car. the car is 3 meters long and the model is 3 centimeters long. what is the ratio of the length of the c
Delicious77 [7]
The answer is d. No probs! 
4 0
3 years ago
Percent of change 125 to 150
Allisa [31]
The answer is 20%
[(150 - 125) / 125] × 100% = 0.2 × 100% = 20%

hope that i have helped!
8 0
3 years ago
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