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tino4ka555 [31]
3 years ago
15

Work out m and c for the line: 3 y + 6 x = − 3

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
  • c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

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Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

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Six yards of rope costs $5.50 while four yards costs $4.75
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The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

<u>Step-by-step explanation:</u>

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

            \frac{5.50 \text { dollar}}{6 \text { yard }}=0.9167\ dollar/yard

Choice 2:

Four yards costs $ 4.75

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Thus, the best choice is the first one. Because it is the lowest unit cost.

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3 years ago
you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it.
monitta

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

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Ami'yan runs every day for exercise at a rate of 1 kilometer every 15 minutes. How many meters does he run in 1 hour? - Thank yo
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Answer:

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Step-by-step explanation:

The distance Ami'yan runs is 15 minutes = 1 kilometer

Using the unit formula,

The distance ran in 1 minute = (\frac{1}{15} ) \textrm{Kilometer}

Now, 1 hour = 60 minutes

⇒The distance covered in 60 minutes =  60 x (Distance run in 1 minute)

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So, the distance covered in 1 hour  = 4 kilometer

1 kilometer = 1000 meters

⇒ 4 km =  4 x 1000 meters = 4000 m

Hence, the total distance covered in 1 hour  = 4000 meters.

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