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IgorC [24]
3 years ago
10

Please help!! For each sum or product, determine whether the result is a rational number or an irrational number. Then choose th

e appropriate reason for each.

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0
1. Rational/The sum of two rationals is always rational
2. Irrational/ the sum of a rational and an irrational is always irrational
3. Irrational/The product of a nonzero rational and an irrational is always irrational
4. Rational/The product of two rationals is always rational

Pretty much all the irrational numbers are the ones with radical signs over them and the rational numbers are the fractions and whole numbers. Once you identify the two numbers to be rational or irrational, you can then find your answer within the second part of the answers. 
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o-na [289]
I have This too sooo hard
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3 years ago
I need help finding x but mainly on how to do the problem, been a while.
geniusboy [140]
You need to isolate the variable meaning .make x the only thing on one side, you do this by doing the opposite of what is being done to it. 1/2 is being added to it so subtract 1/2 from both sides of the equel sign. Next it is being multiplied by 2/3 so divide by 2/3 on both sides and you have your answer, by doing the opposite of what is being done to x you cancel everything out on that side leaving only x.
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3 years ago
Read 2 more answers
What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6
RoseWind [281]

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}

For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

5 0
2 years ago
Write 1.33 as a percentage
ryzh [129]
1.33 as a percent would be ...................
133%
hope this helps!!!!!!!!!!!!
4 0
3 years ago
In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
PSYCHO15rus [73]

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

-----

let a = 2*b

-----

let c = a+b-12

-----

the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

-----

a + b + c = 180

-----

we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

-----

it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

-----

since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

-----

the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

-----

we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

-----

substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

-----

answer is:

a

4 0
3 years ago
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