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3 years ago

When is the difference of two decimals an integer?

2 answers:

8 0

The time the difference between two decimals is an integer is when the decimal value is the same for both numbers. For example, 1.20 - 0.20 = 1. 1.20 and 0.20 are decimals while 1 is an integer. 0.20 is the decimal value while 1 is the whole number.

Komok [63]3 years ago

5 0

If both numbers are themselves integers, then the difference will be an integer. Otherwise… If both real number have the same sign (both positive or both negative), the difference is an integer if every single digit after the decimal point is the same.

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ .

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

5 0

3 years ago

Find the value of x by filling in the blanks in the provided statement- reason solution

fgiga [73]

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

3 0

3 years ago

1% of what number is 7,

diamong [38]

A. 1/100 * x = 7
x = 7 * 100/1
x = 700

b. 50/100 * x = 33
x = 33 * 100/50
x = 66

c. 3/100 * 100 = 3

d. x/100 * 200 = 6
2x = 6
x = 3

e. 15/100 * 40 = 6

5 0

3 years ago

The sum of three different numbers is 18 if every number is a prime number what are the three numbers

Aleks04 [339]

it would be 5+2+11 because a lll number are prime

5 0

3 years ago

Can u please solve this question?

Lapatulllka [165]

Answer:

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

Step-by-step explanation:

Let's write given statement as [ x ] = ] x+1 [

where [ x ] step function means next integer greater than or equal to x,

and ] y [ means last integer less than or equal to y.

Let's take an example of x = 2.5

So [ 2.5 ] = 3.

and ] 2.5 + 1 [ = ] 3.5 [ = 3.

Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

3 0

3 years ago