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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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This system has one solution.
mr_godi [17]

Answer: It is 2.

Step-by-step explanation:

Make both equation equal to each other and solve for x, as following:

- Add like terms.

- Factor the equation.

8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2

Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.

Then, this is:

y=8(2)-14\\y=16-14\\y=2

3 0
3 years ago
Read 2 more answers
What is the slope of the<br> points (4, -2) and (-4, -4)?
timofeeve [1]

Answer:

= 1/4

Step-by-step explanation:

We can find the slope given two points by using the following formula

m = (y2-y1)/(x2-x1)

    = (-4 - -2)/(-4 -4)

   = (-4+2)/(-4-4)

   = -2/-8

  = 1/4

7 0
3 years ago
Read 2 more answers
Re-arrange this polynomial so it’s terms are in order from highest to lowest. 4x to the 5th power + 2x to the 3rd power - 15 - 7
Whitepunk [10]

Answer:

4x^5+2x^3-7x^2-15

Step-by-step explanation:

Look at the degrees of each term.

4x^5=5 \\ \\ 2x^3=3 \\ \\ -7x^2 = 2 \\ \\ -15=1

Rearrange them from greatest to least.

4x^5+2x^3-7x^2-15

5 0
3 years ago
What is other way to forms 208,561
Viktor [21]
Do you mean two numbers added together equal 208,561? If so 200,000+8,561
5 0
3 years ago
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Original price: $23.37<br>with tax : $24.91<br>what is the sales tax percentage​
Marina86 [1]

Answer:

6.6% = tax rate

Step-by-step explanation:

The first step is to find out how much was paid in tax

24.91 - 23.37 =1.54

The tax is 1.54

The tax is the original price * tax rate

1.54 = 23.37 * tax rate

Divide each side by 23.37

1.54/23.37 = tax rate

.065896448= tax rate

Changing to percent form

6.6% = tax rate

8 0
4 years ago
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