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viva [34]
3 years ago
14

Will the difference of two rational numbers be always rational

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0

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Sorry I need it asap in I will give 5 stars to all the answers
Fantom [35]

Answer:

A. the equality means that the two equations should be equal in a certain x value. Solving the x for these equation gives you the x point where the 2 equations intersect.

B. The x value where the funcionts intersect is x = 1

Step-by-step explanation:

You can solve the x value using natural logarithms.

If you make a table for the two functions you will also see the result:

Value             y = 8^x            y = 2^(x+2)

 -3                    0,00195          0,5

 -2                    0,0156             1

 -1                     0,125               2

  0                     1                      4

  1                      8                     8

  2                      64                  16

  3                      512                  32

8 0
3 years ago
A realtor makes a commission of $11,400 on a $190,000 house he sells. What is his commission rate?
Reika [66]
So bassically
his commision rate is
x% times 190000=comission
so x% times 190000=11400
divide both sdies by 190000
x%=11400/190000
solve for x percent
11400/190000=114/1900=3/50
x%=3/50
percent means parts out of 100 so x%=x/100
x/100=3/50
3/50=6/100
x/100=6/100
multiply both sdies by 100
x=6

the commision rate is 6%
4 0
3 years ago
Is 46 greater or less than -79
Alona [7]

Answer:

46 is greater than -79

6 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?
anastassius [24]
B = -1/2
I hope that helps
8 0
3 years ago
Read 2 more answers
Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its
Anna71 [15]

<u>Part 1)</u> "Four times the difference of a number and 7 is 32"

Let

x--------> the number

we know that

the expressions is equal to

4(x-7)=32

therefore

<u>the answer part 1) is</u>

4(x-7)=32

<u>Part 2)</u> "One third of a number is 12 less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

\frac{1}{3} x=(x-12 )

therefore

<u>the answer part 2) is</u>

\frac{1}{3} x=(x-12 )

<u>Part 3)</u> "Ten increased by the quotient of a number and 2 is -15"

Let

x---------> the number

we know that

the expressions is equal to

10+ (\frac{x}{2} )= -15

therefore

<u>the answer Part 3) is</u>

10+ (\frac{x}{2} )= -15

<u>Part 4)</u> "One less than the product of a number and 3 is 5 more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

(3x)-1=5+x

therefore

<u>the answer Part 4) is</u>

(3x)-1=5+x

3 0
3 years ago
Read 2 more answers
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