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3 years ago

Find the equation of the line passing through the points (3,3) and (4,5)

Mathematics

1 answer:

zlopas [31]3 years ago

3 0

Answer:

Y = Mx + B

Step-by-step explanation:

I think it's ur answer.

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Solve each system help please!!!!!

nexus9112 [7]

$12)\\\left\{\begin{array}{ccc}y=-2x+3&(*)\\2x+5y=7\end{array}\right\qquad\text{put}\ (*)\ \text{to the second equation}\\\\2x+5(-2x+3)=7\qquad\text{use distributive property}\\2x+(5)(-2x)+(5)(3)=7\\2x-10x+15=7\qquad\text{subtract 15 from both sides}\\-8x=-8\qquad\text{divide both sides by (-8)}\\\boxed{x=1}\\\\\text{Put the value of x to}\ (*)\\\\y=-2(1)+3\\y=-2+3\\\boxed{y=1}\\\\Answer:\ x=1,\ y=1\to(1,\ 1)$

$14)\\\left\{\begin{array}{ccc}x=y-4&(*)\\x-2y=-6\end{array}\right\qquad\text{put}\ (*)\ \text{tu the second equation}\\\\(y-4)-2y=-6\\y-4-2y=-6\qquad\text{add 4 to both sides}\\-y=-2\qquad\text{change the signs}\\\boxed{y=2}\\\\\text{Put the value of y to}\ (*)\\\\x=2-4\\\boxed{x=-2}\\\\Answer:\ x=-2,\ y=2\to(-2,\ 2)$

$16)\\\left\{\begin{array}{ccc}x=-4y+3&(*)\\5x-3y=-31\end{array}\right\qquad\text{put}\ (*)\ \text{to the second equation}\\\\5(-4y+3)-3y=-31\qquad\text{use distributive property}\\(5)(-4y)+(5)(3)-3y=-31\\-20y+15-3y=-31\qquad\text{subtract 15 from both sides}\\-23y=-46\qquad\text{divide both sides by (-23)}\\\boxed{y=2}\\\\\text{Put the value of y to }\ (*)\\\\x=-4(2)+3\\x=-8+3\\\boxed{x=-5}\\\\Answer:\ x=-5,\ y=2\to(-5,\ 2)$

3 0

3 years ago

Read 2 more answers

Tickets to a concert cost either $12 or $15. A

olga_2 [115]

Answer:

12x +15y = 4140; x + y = 300
x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

12x +15y = 4140; x +y = 300

Using the second equation to write an expression for x, we have ...

x = 300 -y

Substituting this into the first equation gives ...

12(300 -y) +15y = 4140

3600 +3y = 4140

y = (4140 -3600)/3 = 180

x = 300 -180 = 120

The number of tickets sold is ...

$12 tickets -- 120

$15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

6 0

3 years ago

Johnson bought 4 1/4 gallons of ice cream for the celebration the baseball team ate 3/4 of it how many gallons of ice cream did

mezya [45]

Answer:

They ate 0.75. I only wrote it as a decimal.

3÷4= 0.75 Hope it helps :)

Have a good day.

4 0

3 years ago

Read 2 more answers

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