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Karolina [17]
3 years ago
8

A line has a slope of 2 and passes through the point (1, 3). An equation of the line is A) y = x + 2 B) y = x + 1 C) y = 2x + 1

D) y = 3x - 2
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

The equation of line with given slope and points is y = 2 x + 1  

Step-by-step explanation:

Given as :

The slope of line is ( m ) = 2

The line passes through points ( 1 , 3 )

The equation of line is given as

y = m x + c

Now since slope of line is 2 and passing through points ( 1 , 3 )

∴ 3 = ( 2 )× ( 1 ) + c

Or, 3 - 2 = c

So c = 1

∴ The equation of line can be written as

y = 2 x + 1

Hence The equation of line with given slope and points is y = 2 x + 1  Answer

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Justin sells 78.5 ounces of lemonade for a total of $15.70.
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Answer:

5

Step-by-step explanation:

This is a pretty simple question to answer, the one step that needs to be done is divide 78.5 by 15.7. You should come up with 5.

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A recipe for guacamole uses 12% lime juice, if a batch contains 0.75 cup of lime juice, how large is the batch of guacamole?
FinnZ [79.3K]
0.75/0.12=6.25

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A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. Th
zysi [14]

Answer:

196 tickets

Step-by-step explanation:

The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:

5x ≥ 980

Dividing through by 5:

x ≥ 980

x ≥ 980/5

x ≥ 196

Therefore the producer must sell at least 196 tickets so as to make a profit

3 0
3 years ago
I just need to find out the last question that is in red. I don't know how to find the year when the median house values will be
Ganezh [65]

Answer:

1924.3

Step-by-step explanation:

Ok

You need to write an expression for the change in value

the change is linear, so you will get a line equation y = mx + b

y-axys : value

x-axys : years

New Hampshire:

Slope = \frac{133300-37600}{2000-1950} = 1914

the y-intercept will be 37600 because you can assume that 1950 = 0, and 2000 = 50

y = 1914*x + 37600

Massachussets:

Slope = \frac{185700-55400}{2000-1950} = 2606

Same as above, the y-intercept is 55400

y = 2606*x + 55400

Now you need to equal the value for both and find the year "x"

1914x + 37600 = 2606x + 55400

- 692x = 17800

x = -25.7

Since i considered x = 0 to be 1950; the actual year is 1950 - 25.7 = 1924.3

5 0
3 years ago
Expand & simplify ( 3 x + 4 ) 2 + ( x + 7 ) ( x − 6 )
Verizon [17]

<h3>(3x + 4)2 + (x + 7)(x - 6) \\ 6x + 8 +  {x}^{2}  \times 1 \\ =  6 {x}^{3}  + 8</h3>

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