the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

Answers

Answer 1
Answer: x, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \n\underline{x-y=3} \nx+x=9+3 \n2x=12 \ \ \ |/ 2 \nx=6 \n \nx+y=9 \n6+y=9 \ \ \ |-6 \ny=3

The numbers are 6 and 3.
Answer 2
Answer: Let's say x to the first number and y to the second one.
We add them : x+y=9
Then we substract them : x-y=3
Now we add the equations: 

(x+y)+(x-y)=9+3\n x+x+y-y=12\n 2x=12\n \n x=\frac { 12 }{ 2 } \n \n x=6

and finally rewrite the equation:

6+y=9\n y=9-6\n y=3\n \n x=6\quad and\quad y=3

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I am trying to get the intersection of 8-16-24-32 and16-32-48

Answers

{8, 16, 24, 32}int.{16, 32, 48}={16, 32}

In a distribution, the second quartile corresponds with the __________. Mean Median Variance Mode

Answers

The second quartile corresponds with the Median

Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relationship between p and d? p = d + 2
p = d – 1
p = d – 2
p = d + 1
d = 2p
d = 2p – 1
d = 2p
d = 2p + 1

Answers

If you would like to find a pair of equations that best models the relationship between p and d, you can do this using the following steps:

p is 2 more than d ... p = d + 2
p is 1 less than d ... p = d - 1

The correct result would be p = d + 2 and p = d - 1.

The pair of equations that models the relationship between p and d are expressed as: p = d + 2, and p = d - 1.

What is an Equation?

An equation is used to represent a situation using variables (letters) and figures.

"p is 2 more than d" can be expressed as: p = d + 2.

Also, we can represent the statement, "p is 1 less than d" as: p = d - 1.

Therefore, the pair of equations would be: p = d + 2, and p = d - 1.

Learn more about equations on:

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According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

the answer is (6x-1)

Answer: The answer is (B) (8)/(5) and (C) (1)/(6).

Step-by-step explanation: The given polynomial is

f(x)=60x^4+86x^3-46x^2-43x+8.

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial  P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0 has any rational roots, then they must be of the form \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only (8)/(5) and (1)/(6) can be written in the form  \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}., because

(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.

Thus, (B) and (C) are the correct options.

 

How many hours between 8:15 to 12:45 ?

Answers

4.5
an hour to 9:15
one to 10
one to 11
one to 12
and .5 to 1215 to 1245
Subtract:

12h   45' -
08h   15'
-----------
04h   30'

What is the current value of a future sum of money called

Answers

Answer : Present value

Present value is the Future sum of money that is the sum accumulated after some years given a specific rate of interest.

Present value is also known as present discounted value that is the value of an expected income determined in the given time of valuation

the current value of a future sum of money called Present value

The answer to your question is present value, because the question asked current value, and current value is also called as present value. 

Present value

Hope it works