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Jet001 [13]
3 years ago
11

Directions: Write each equation in slope intercept form (y = mx + b)

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

Below.

I Hope it helps :)

Step-by-step explanation:

Slope intercept form :

y=mx+b

1.

2x + y = 1

Slope intercept form :

y =  - 2x + 1

Equation :

x - 2y = 8

Slope intercept form :

- 2y =  - x + 8

or

y =  \frac{1}{2} x - 4

2.

3x + 2y = 4

Slope intercept form :

2y =  - 3x + 4 \\

Divide through by 2

y =  -  \frac{3}{2} x + 2

Equation :

x + 2y =  - 4

Slope intercept form :

2y =  - x - 4

Divide through by 2

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

3.

4x + y = 1

Slope intercept form =

y =  - 4x + 1

Equation :

x + y =  - 2

Slope intercept form :

y =  - x  -  2

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Step-by-step explanation:

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3 years ago
Write the fraction in the simplest form 6/8
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The manager of a restaurant found that the cost to produce 200 cups of coffee is ​$65.00 ​, while the cost to produce 250 cups i
PIT_PIT [208]

Answer:

a). y = 0.25x + 15

b). x = 480 cups

Step-by-step explanation:

(a). Let the equation of the linear function passing through a point (x', y') is,

y - y' = m(x - x')

'm' = slope of the line

b = y-intercept

Two points lying on the linear function will be (200, 65) and (250, 77.5).

Slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

m = \frac{77.5-65}{250-200}

   = \frac{12.5}{50}

   = 0.25

Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,

y - 65 = 0.25(x - 200)

y - 65 = 0.25x - 50

y = 0.25x + 15

(b). For y = $135 we have to calculate the number of cups of coffee produced.

135 = 0.25x + 15

0.25x = 135 - 15

0.25x = 120

x = 480 cups

Therefore, 480 cups of coffee will be produced.

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3 years ago
Which expression is equivalent to 1.8(2x + 7) - 15?
slamgirl [31]

Answer:

Option B. 1.8(2x + 7) – 15 = 3.6x – 2.4

Step-by-step explanation:

1.8(2x + 7) – 15

To know which option is correct, let us simplify the above expression. This can be obtained as follow:

1.8(2x + 7) – 15

Clear bracket

1.8(2x + 7) – 15 = 3.6x + 12.6 – 15

1.8(2x + 7) – 15 = 3.6x – 2.4

Thus,

1.8(2x + 7) – 15 is equivalent to

3.6x – 2.4

5 0
3 years ago
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