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3 years ago

What is an rational number

2 answers:

8 0

A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).

Troyanec [42]3 years ago

6 0

A rational number is when a number can be in the form of p/q. When p/q are integers and q is not equal to 0
hope this helps!

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Evaluate Function h(2/3)=|15-9(2/3)

ZanzabumX [31]

Answer:

Step-by-step explanation:

I wish I could upload my picture of the work I did, or can I? sorry I'm new here

3 0

3 years ago

what is the solution to the system of equations: x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10

ladessa [460]

Given equations are x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10 .

It seems you have missed to write = in the 2nd equation so i have fixed the sign and going to solve the following system of equations:

x-y-z=2 ...(i)

-x-3y-2z=4 ...(ii)

-x-2z=10 ...(iii)

solve (i) for x

x=2+y+z ...(iv)

plug (iv) into (ii)

-x-3y-2z=4

-(2+y+z)-3y-2z=4

-2-y-z-3y-2z=4

-2-4y-3z=4

-4y-3z=6...(v)

plug (iv) into (iii)

-x-2z=10

-(2+y+z)-2z=10

-2-y-z-2z=10

-2-y-3z=10

-y=12+3z

y=-12-3z...(vi)

plug (vi) into (v)

-4y-3z=6

-4(-12-3z)-3z=6

48+12z-3z=6

48+9z=6

9z=-42

z=-14/3

Now plug value of z into (vi)

y=-12-3z=-12-3(-14/3)=-12+14=2

y=2

plug value of y and z into (iv)

x=2+y+z=2+2-14/3=-2/3

Hence final answer is x=-2/3, y=2, z=-14/3

3 0

3 years ago

A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoe

vaieri [72.5K]

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

$1B = 3P$

$\frac{1}{3}=\frac{P}{B}$

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

$2B = 6P$