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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

Answer:

(0,1/5) and (1/9,0)

Step-by-step explanation:

3/5x +1/3y=1/15

To find intercepts, plug in 0

y-intercept: 3/5(0) + 1/3y=1/15

y=1/15*3 = 3/15 = 1/5 or 0.2

x-intercept: 3/5x + 1/3(0) = 1/15

3x=1/15*5/3

x=5/45= 1/9

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What is the slope of the line shown in the graph?<br> A 3/2<br> B 2/3<br> C -3/4<br> D - 2/3

goldenfox [79]

Answer:

D. -2/3

Step-by-step explanation:

Since it is going down, it is negative

Think of this: Rise/Run

In this case, rise is when you are going up or down the graph

Run is when you are going to the right of the graph

Let's use 2 points (0,3) and (3,1)

Since you are going three points to the right we are going to put 3 in for run

You are going 2 places down, so we are going put -2 in for rise

This gives us -2/3

Another way to do this is (1-3)/(3-0) = -2/3

6 0

3 years ago

Through research scientists found that the body or a 200 lb person consist of 3.2*10 to the nigetive five lbs of zinc. In the bo

denis-greek [22]

In 1500 people of 200 lb each, the total weight would be 300000 lb.
Set up a proportion: 200lb/3.2*10^-5 = 300,000lb/x
(3.2*10^-5*300,000)/200 = x
x = 0.48, I believe

8 0

2 years ago

PLZ HELP ME ☻ <img src="https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bxy%7D%7Bx%20%2B%20y%7D%20%3D%201%2C%20%5Cquad%20%5Cfrac%7Bxz%7D%

Yanka [14]

Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$