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Archy [21]
2 years ago
10

Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing th

e blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.

Mathematics
2 answers:
Amiraneli [1.4K]2 years ago
8 0

Answer:

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

Step-by-step explanation:

Let's take any of the coordinates of blue line to find the slope

The coordinates are (4,4) and (0,2)

Slope = \frac{y2-y1}{x2-x1}

Slope = \frac{2-4}{0-4}

Slope = \frac{-2}{-4}

Slope = m = 1/2

Y-intercept = b = 2 (Because here x= 0)

<u><em>So, the slope intercept equation becomes:</em></u>

=> y = mx+b

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

Darina [25.2K]2 years ago
4 0

Answer:

y=1/2x+2(2 is the y-intercept)

The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.

Hope it helps <3

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Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on
RideAnS [48]

Answer:

21 more mugs were brought this year than last year.

Step-by-step explanation:

We can solve by subtracting the initial amount of mugs from the final amount of mugs.

To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.

We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs

Now we subtract last year's total mugs hung up from this year's total mugs hung up.

We end up with 36 - 15 = 21

4 0
2 years ago
Can somebody please help me with this problem please
Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

6 0
3 years ago
Read 2 more answers
Which is a valid velocity reading for an object?
aleksklad [387]
The answer is B. 45m/s north
5 0
2 years ago
The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was ​$
SVETLANKA909090 [29]

Answer:

$84.80

Step-by-step explanation:

find the difference between accurate price and written price: 74 - 47 = 27

find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60

the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60

divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80

hope this helps :)

4 0
2 years ago
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig h
nignag [31]

Answer:

49950

Step-by-step explanation:

111% of 45000 is 49950

5 0
3 years ago
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