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Firdavs [7]
3 years ago
6

Match the equation with its graph. -2/3x - -1/4y=1/3

Mathematics
1 answer:
Volgvan3 years ago
4 0
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.

It is easier is you solve the equation for y:

(1/4)y = - 1/3 - (2/3) x

y = (-4/3) - (8/3)x

That is the slope -y-intercept form of the equation.

That means that the slope is -8/3, and the y-intercept is -4/3.

Use this points to identify the graph:

x = 0 => y = - 4/3 ---> (0, - 4/3)

y = 0 => x = - 1/2 -----> (-1/2, 0)

Now you can punt those two points on the graph and draw the line that joins them.

With this procedure you can find the graph of any straight line.
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There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you
Kay [80]

Answer:

14/25

Step-by-step explanation:

p(red or blue)=6/(6+8+11) +8/(6+8+11)=6/25+8/25=14/25

7 0
3 years ago
Which function is a shrink of the exponential growth function shown on the graph?
fgiga [73]
The exponential function shown in the graph is 3^x, so (1/2)3^x is a shrink of it.

Selection B is appropriate.
3 0
3 years ago
Read 2 more answers
Find the equilibrium point for the pair of demand and supply functions. Here q represents the
olya-2409 [2.1K]

The equilibrium point for the pair of demand and supply function is 100

We have been two linear function, one is linear supply function and other is linear demand function.

In general , linear supply function is given as:

                            Qs = x + yP

                       Where , Qs = quantity supplied

                                        x = quantity

                                        P = price

And linear demand function is given is :

                             Qd = x + yP

                      Where , Qs = quantity supplied

                                        x = quantity

                                        P = price

According to the question,

                   Linear supply function is q = 300 + 5x

          And  linear demand function is q = 4800 – 40x

To find the equilibrium point we will put two quantities equal, that is,

                                 Qs = Qd

                      300 + 5x = 4800 – 40x

                        5x + 40x = 4800 – 300

                          45x = 4500

                             x =  100

Hence the equilibrium point is 100

Learn more about equilibrium point here : brainly.com/question/1915798

#SPJ9

4 0
1 year ago
So sorry to ask another question but I need some help-
Vika [28.1K]

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.

7 0
2 years ago
the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of
marin [14]
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg 
V = 17280 / 87 
V = 198.62 m^3
4 0
3 years ago
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