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love history [14]
3 years ago
12

What is the slope for the following: 3x + 2y = 12

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 2y = 12 ( subtract 3x from both sides )

2y = - 3x + 12 ( divide all terms by 2 )

y = - \frac{3}{2} x + 6 ← in slope- intercept form

with slope m = - \frac{3}{2}

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Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One a
Minchanka [31]

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

<em>Hence we can say the equation has One and only one solution since we have just a value for x and y</em>

<em />

4 0
3 years ago
Perrys Bikes rents bikes for $17 plus $6 per hour. john paid $59 to rent a bike. For how many hours did he rent the bike?
matrenka [14]
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Let x represent hours rented
59=17+6x
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4 0
3 years ago
Translate each equation into a verbal sentence<br><br> 13 = 2 + 6t
Mama L [17]

thirteen  is equal to two plus six T. Hope this can help. Have a wonderful day. : )

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Answer:

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2 years ago
mia hired a moving company, it charged 500$ for service mia give them a 16% tip.How much did she tip the movers,
snow_tiger [21]

Answer: 80 dollars

Step-by-step explanation:

You can find a percentage with one of two ways.

For hundreds like this, oftentimes it's quicker and more simple to think of it as just 100. The proportion from 100 to 500 is just 5.  16% of 100 is 16. So, multiply 16 * 5. You would get 80.

The second method is you can use 0.16 * 500. It's the more conventional method, and you get 80, like the last method.

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3 years ago
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