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Sergeu [11.5K]
2 years ago
11

Solve the following system of equations by graphing. - 4x + 3y -12 - 2x + 3y -18

Mathematics
1 answer:
My name is Ann [436]2 years ago
6 0

Answer:

The solution of the graph is at (-3,-8).

Step-by-step explanation:

The given equations are :

-4x+3y=-12

and

-2x+3y=-18

These are the system of equations in two variables.

The graphs for the equations are :

The solution of the graph is at (-3,-8).

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Find the equation of the line<br> Use exact numbers <br> y=*blank*x+*blank*
Murljashka [212]
You are looking for the slope and y intercept to complete the equation of the line.

The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.

First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.

Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.

m = (4-0)/(0+2) = 4/2
m = 2

m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.

Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.

The equation is y = 2x + 4

6 0
3 years ago
Please help! a rectangle's width is 6 feet less than it's length. write a quadratic function that expresses the rectangles area
Monica [59]

Answer:

B. A( L) = L² - 6L

Step-by-step explanation:

A rectangle has 2 sides, length and width.

length = L

width = L - 6

Area = length × width

        = L(L - 6)

        = L² - 6L

The correct choice is B.

B. A( L) = L² - 6L

7 0
3 years ago
Read 2 more answers
Look down for question
snow_lady [41]

This has a lot of scary words and numbers in it, but it's all just fluff.
That big ugly formula is nothing but numbers, except for the 'h' in it
near the end.  When you write your altitude in place of 'h' and push
all the numbers through your calculator, the answer is the air pressure
at that altitude.

All it's asking you to do is this:

-- Write ' 100 ' into the big formula.

-- Run all the numbers through the calculator and get the pressure at 100 meters.

-- Then write ' 1000 ' into the formula.

-- Run the whole thing through the calculator again, and see what
the pressure is at 1,000 meters.

-- Subtract, and see how much the pressure changed between 100 meters
and 1,000 meters.

You want to know what I think the whole idea is here ?  I think the whole idea
is to get you to decide which things to do first as you calculate the formula,
AND to give you practice in using your calculator to do weird stuff.

In the formula, I see a power, a set of parentheses, two multiplications, and
one subtraction. You have to decide what order to do them in.  And THEN,
you have to figure out how to do them all with your calculator.

Here's the order:

-- Inside the parentheses, multiply 2.25577x 10⁻⁵ by 'h' .
-- Inside the parentheses, subtract the result from ' 1 '.
-- Take the number inside the parentheses, and raise it to the 5.25588 power.
-- Then multiply the result by 101,325 .

For 100 meters altitude, the pressure you should get is  100,129 pascals.

Make sure you can get that with your calculator when you put '100' in place
of 'h'.  And then, when THAT works, do it with 1,000 in place of 'h'.

The number you get for  1,000 meters  should be about 10,254 pascals less.


8 0
3 years ago
Oscar buy his lunch in the school cafeteria the cost of 15 schools lunches is $33.75
olga55 [171]

Answer:

$2.25

Step-by-step explanation:

If the answer is how much is one school lunch then...

33.75/15

=2.25

$2.25

4 0
3 years ago
Read 2 more answers
PLEASSSEEEE HELPPPPPP !!!!!
Angelina_Jolie [31]
Marking the questions as 12345.
1 is G, 2 is E, 3 is D, 4 is C, and 5 is A. But I might be misunderstanding this too.
5 0
3 years ago
Read 2 more answers
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