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Salsk061 [2.6K]
3 years ago
6

Arrange 2/3, 3/5, 5/7 in order from least to greatest?

Mathematics
2 answers:
liq [111]3 years ago
6 0
The easiest way for me to do this, as I suck at fractions, is to divide. so 2/3 would be 0.66(repeating) 3/5 would be 0.6 and 5/7 is 0.714, Saying that, the answer is 3/5, 2/3, 5/7. 0.6 is two numbers, 9 and 6, while 0.66 repeating has endless numbers, making it greater than 0.6 non repeating. Hope this helped!
AveGali [126]3 years ago
3 0
3/5
2/3
5/7
top is least bottom is greatest
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I need help please.
Ivan

1. It is given that f(x) is 16 times the square root of x.

Putting that in mathematical terms we have,

f(x) = 16 * \sqrt{x}

also, y = f(x)

So, we have the function

y= 16 \sqrt{x}

4. We need to solve the inequality equation : 4x + 2y ≤ 6

Let us take the equation,

4x+2y ≤ 6

2y ≤ 6-4x

y ≤ \frac{6-4x}{2}

y ≤ 3-2x

So, any point (x,y) lies on the given inequality region, where y≤ 3-2x

5. Solving system of equations using addition method

Given:

-5x-y =38          ------> a

-6x-3y =60       -------> b

Divide the equation b by no. 3

(-6x-3y)/3 = 60/3

-2x-y = 20      -------> c

Subtracting equation c from a we have,

-5x-y - (-2x-y) = 38 - 20

-5x-y+2x+y = 18

-3x = 18

x = -6

Now, substituting the value of x in equation a, we get

-5(-6) - y =38

30-y =38

y= 30-38 = -8

y=-8

∴ x = -6 and y = -8

6. Finding composition of functions

Given : f(x) =15x + 7 ; g(x) = x² - 5x

To find : (f+g)(x)

(f+g) (x) = f(g(x))

So, replace the value of x in f(x) by g(x), where g(x)= x² - 5x

(f+g)(x) = 15(x²-5x) +7 =15x²-75x+7

∴ (f + g)(x) = 15x²-75x+7

7. System of 3 equations must be solved to find the solution

-8x-8y-5z=-6

7x-8y-9z =17

9x+2y+6z =-1

Solving by substitution method.

Isolate x from first equation :

x= (-6+8y+5z)/(-8)

Substitute this value of x in 2nd and 3rd equations.

7 (- \frac{-6+8y+5z}{8})-8y -9z = 17

9(- \frac{-6+8y+5z}{8}) + 2y + 6z = -1

Now, isolating y from the 2nd equation rewritten above, we have

y= - \frac{107 z + 94}{120}

Now substituting this value of y in the 3rd equation rewritten above, we have

9(- \frac{-6+8(-\frac{107 z + 94}{120})+5z}{8}) + 2(-\frac{107 z + 94}{120}) + 6z = -1

Isolating z from above equation, we have

z = -2

Substitute z= -2 in the equation of y, we have

y= - \frac{107 (-2) + 94}{120} = 1

y = 1

Substituting the value of y and z, in the equation of x, we have

x= (-6+8(1)+5(-2))/(-8) = 1

x = 1

∴ x=1 ; y = 1 ; z = -2

8. 5x ≤ 7

Solving the above equation, we have

x ≤ 7/5

Please see attachment for the graph.

9. The given function is : g(y) = \sqrt{y} -6

The domain is the set of values of y for which there can be a value of g(y).

Here g(y) can be real only if y is greater than or equal to 0.

∴ The domain of the given function is [0,∞) .

10. Given : y is a function of x.

Definition of function : A function is a relation that associates each element in the domain to one element of another set, the co-domain of the function.

∴ For each element x, in the domain, there is only one value of y in the range.


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3 years ago
5. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of
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This is not my work but i hope this can help you with your problem
https://answers.yahoo.com/question/index?qid=20120518194118AAhi738

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2 years ago
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A football team lost 9 yards on first down and 4 yards on second down. It gained 5 yards on third down. How many yards does it n
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<span>I Beileve It's 18 Yards</span>
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3 years ago
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What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Inessa [10]

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

4 0
3 years ago
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
2 years ago
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