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Firlakuza [10]
3 years ago
13

what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.

Mathematics
1 answer:
Leokris [45]3 years ago
5 0

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





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kiruha [24]
y=9.25(1.06)^{n}
Plug in n to find y.
n would be 50 because 2020-1970=50.

Use order of operations to solve.
y=9.25(1.06)^{50} \\ y=9.25(18.42) \\ y=170.39

Since y is the salary in thousands, multiply 170.39 by 1000.
170.39*1000=17039

A teacher can expect to have about $17,039 as a salary in the year 2020.
6 0
3 years ago
Which expression correctly represents "six more than the quotient of three and a number, decreased by eight"?
LenKa [72]

The option A is correct because the value of the statement is 6+3/n-8.

According to the statement

we have given that the statement and we have to write the statement in the numerical form.

So, For this purpose

we know that the given statement is

"Six more than the quotient of three and a number, decreased by eight".

In this statement "Six more than" indicates the sum between the quotient and 6.

And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

6+3/n-8

So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.

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6 0
2 years ago
The function f has the property that f(x)=f(x+1) for all numbers x. If f(4)=17, what is the value of f(8)?
Natalija [7]
If the condition holds true, then:
f(4) = f(5)
f(5) = f(6)
f(6) = f(7)
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Thus,
f(4) = f(8)

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3 years ago
Which function has the least value for the y-intercept?
diamong [38]

Answer:

y-intercept is the value of y when x is equal to zero. Because the y intercept is a point on a graph, you'll usually write it in point/ coordinate form.

Step-by-step explanation:

The y-intercept is where the parabola of a function crosses (or intercepts) the y axis.

6 0
3 years ago
EASY points here Solve for H; P=2L+2H
e-lub [12.9K]
P=2L+2H
First, isolate 2H:
2H=P-2L
Second, get a singular value of H (just H):
2H/2=(P-2L)/2

Final answer: 

H=\frac{P-2L}{2}
7 0
3 years ago
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