What does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?

Please help!! I've been stuck on this for WEEKS!!

What Does The Equation Tell You About The Type Of Number X Must Be For The Sum To Be Rational? What Conclusion

Answers

Answer 1

9514 1404 393

Answer:

  x must be rational

Step-by-step explanation:

Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.

Then the value of x is a ratio of integers, so is rational.

The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.

Answer 2

Answer:

x is a rational number

Step-by-step explanation:


Related Questions

solve for P assume that none of the denominators are equal to 0
Kl=y(f/p+n + r/u)​

Answers

Step-by-step explanation:

KI=yf/p+n + yr/u

(p+n) KI - yrp/u -yrn/u = yf

pKI - yrp/u = yf - nKI + yrn/u

p(KI - yr/u) = yf - nKI + yrn/u

p = (1/KI-yr/u)(yf-nKI+yrn/u)

HELP! What is the probability of randomly picking a green marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?

Answers

Answer:

2/5

Step-by-step explanation:

For probability, it's the

number of the type you want

_______________________

the total number of items

So the equation for this would be

10/10+10+5

= 10/25

= 2/5

The final answer is 2/5. Keep in mind that probability is a ratio of likeliness between things, so you CANNOT write it as a decimal!

I hope this helped! :D

A clothing store is having a sale on shirts and jeans. Four shirts and two pairs of jeans cost $78. Three shirts and five pairs of jeans cost $111. The system of equations
4s + 2j = 78
3s + 5j = 111
models this situation, where s is the cost of a shirt and j is the cost of a pair of jeans. How much does one shirt and one pair of jeans cost?

Answers

Answer:

One shirt is $12 and one pair of jeans is $15

Step-by-step explanation:

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -4:

12s + 6j = 234

-12s - 20j = -444

Add these together, and solve for j:

-14j = -210

j = 15

So, a pair of jeans is $15. Plug in 15 as j into one of the equations and solve for s:

3s + 5j = 111

3s + 5(15) = 111

3s + 75 = 111

3s = 36

s = 12

One shirt is $12 and one pair of jeans is $15.

2/c = 4/9

(these are fractions btw)

Answers

Answer: c = 9/2

Explanation:

2/c = 4/9
c = (9 x 2)/4
c = 18/4
c = 9/2

Answer:

2/9

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

if 4x-5y=6 and xy=8 then find the value of 16x^2+25y^2​

Answers

Answer:

Hello,

356

Step-by-step explanation:

[tex]4x-5y=6\\xy=8\\\\(4x-5y)^2=16x^2+25y^2-40xy\\\\\\16x^2+25y^2=(4x-5y)^2+40xy=6^2+40*8=356\\[/tex]

How do we solve this?

Answers

It asks for partial derivative, and you have to derive it with respect to 'y' variable.

[tex]f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2[/tex]

Intro to Translations
Acellus
Find the image of the given point
under the given translation.
P(-1,2)
T(x, y) = (x + 2, y - 4)
P' = ([?], [])
Enter the number that belongs
in the green box.

Answers

Answer:

(1,-2)

Step-by-step explanation:

P(-1,2) and (x, y) -> (x + 2, y - 4). Plugging in x and y in the transformation, the transformed points are (-1+2, 2-4) = (1,-2)

Suppose an average student can answer 6 homework questions in 30 minutes. If X follows an exponential distribution and measures the length of time between starting two homework questions. What is the value of μ?

Answers

Answer:

10

Step-by-step explanation:

Make a ratio like

6 : 30

2 : x

Then cross multiple

6x = 60

Make x subject formula

x = 10

I hope it helped

compare the following rational number
[tex] \frac{4}{5} and \frac{7}{5} [/tex]

Answers

Answer:

7/5 is greater than 4/5

Answer:

[tex]\frac{4}{5}[/tex]  <  [tex]\frac{7}{5}[/tex]

A refrigerator magnet uses five eights of an inch of magnetic tape how many refrigerator magnets can you make with 10 inches of magnetic tape

Answers

ANSWER: You can make 16 refrigerator magnets.

If you divide 10 by 5/8, you multiply by the reciprocal of 5/8 which is 8/5. You have 8/5 x 10. Cross simplify and you have 16.

if the cost price of 18 cycles is equal to selling price of 16 cycles .find the gain or loss percentage​

Answers

Answer:

Gain%=12.5%

Step-by-step explanation:

I ASSUMED COST PRICE=Rs.100

Reflect figure E across the x-axis and then reflect across the y-axis. What is the resulting figure?
rectangle D
B
rectangle B
9
rectangle C
10
rectangle A

Answers

Answer:

2nd option, rectangle B

Step-by-step explanation:

After reflexion, the figure will be at the left side of x=-5

7. 20x + 10 = 110
a. X= 1
b. X= 5
c. x= 12

Answers

Answer:

b x=5

Step-by-step explanation:

20x+10=110

20x+10-10=110-10

20x/20=100/20

x=5

Answer:

x=5

Step-by-step explanation:

20x + 10 = 110

Subtract 10 from each side

20x +10-10 = 110-10

20x = 100

divide by 20

20x/20 =100/20

x= 5

Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

Answers

Answer:

x = 2 is the solution to x + 1.5 = 3.5

Step-by-step explanation:

x + 1.5 = 3.5

   -1.5      -1.5

--------------------

x = 2

If sam runs 63,756 feet in 70 min what's his miles per hour

Answers

Answer:

10.35 miles per hr

Step-by-step explanation:

first convert ft into mi

then calculate the distance traveled in one min

multiply the answer by 60

then you get the answer

Need to be in order Smallest to biggest question.

Want to check if my answers are right.

Answers

Answer:

a49%, 1/2,0.55,3/5

b)0.2,1/4,27%,3/10

c)9/10,95%,0.99,97/100

d)30%,1/3,0.6,2/3

e)0.09,10%,11/100,0.125

the height of a tree is 170m the lower and upper bound of it's height is ​

Answers

9514 1404 393

Answer:

  [165, 175) meters

Step-by-step explanation:

The rule with respect to questions like this is that the bounds are ±1/2 of the place value of the least-significant digit. Here, the integer portion of the number has trailing zeros, and there is no decimal point or fractional part. Ordinarily, this combination of characteristics would signal that the trailing zeros are not significant, so the only significant digits are 1 and 7. The place value of the least significant digit is 10, so the bounds on the measurement are this number ±1/2(10) = ±5.

Of course, 175 rounds up to 180, so the upper bound is a limit, rather than an actual value. The height should be interpreted in this context as ...

  165 m ≤ height < 175 m

The lower and upper bounds are 165 m and 175 m, respectively.

_____

Additional comment

The best way to avoid any ambiguity as to whether trailing zeros are significant is to use scientific notation. If a zero in the ones place is significant, that is conventionally indicated by a decimal point: "170.". If scientific notation is used, the number would be reported as 1.70×10² to indicate the trailing zero is significant.

For reference, Earth's tallest tree is a redwood just under 116 meters high.

(3+4i)^2

(2+4i)(7-8i)

Answers

Answer:

10 (-61 + 102 i)

(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)  

Step-by-step explanation:

(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)

10 (-61 + 102 i)

r = 50 sqrt(565) (radio), θ = π - tan^(-1)(102/61) (ángulo)

50 sqrt(565) (cos(π - tan^(-1)(102/61))+i sin(π - tan^(-1)(102/61)))

50 sqrt(565) e^(i (π - tan^(-1)(102/61)))

x^2 + 1220 x + 1412500

-3/4÷-1/2

pls help armieee​

Answers

Answer:

exact form : 3/2

decimal form 1.5

mixed number form 1 1/2

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!


A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.


What is the surface area of the triangular prism?


210 square centimeters

318 square centimeters

360 square centimeters

468 square centimeters

Answers

Answer:

Step-by-step explanation:

Area of base = 0.5×9×12 = 54 cm²

Hypotenuse of base = √(9²+12²) = 15

Lateral surface area = 10(9+12+15) = 360 cm²

Total surface area = 2×54 + 360 = 468 cm²

Look at the image for the question.

Answers

Answer:

38 cm^2

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(lw+wh+lh) where h is the height l is the length and w is the width

SA = 2( 3*1 + 3*4+4*1)

    = 2(3+12+4)

   = 2(19)

   = 38 cm^2

Which side of the pentagon on the right corresponds to
side KJ on the pentagon on the left.

Answers

Answer:

side st.

Step-by-step explanation:

st corresponds to kj since a it has five sides.

The height of a triangle is 5 yards greater than the base. The area of the triangle is 273 square yards. Find the length of the base and the height of the triangle.

Answers

Answer:

Base = 21 while Height = 16

Out of a total of 10 college textbooks estimate the standard deviation of their ages if the oldest textbook is known to be 7.9 years old and the newest textbook is 1.3 years old.
A. 0.5 years
B. 1.1 years
C. 2.3 years
D. 2.9 years
E. 3.3 years

Answers

Answer: The answer is D 2.9 years

Step-by-step explanation:

Please help me l am in many problem please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please ​

Answers

Answer:

Answer for g

Step-by-step explanation:

i think its this way because i dont know the question

Which expression describes this graph?

A. x -5
B. x -5
C. x < -5
D. x > -5

Answers

Answer:

C

Step-by-step explanation:

The equation that described the graph is x<-5

how many solutions?

y−2=x

−x=2−y

Answers

Answer:

infinite

Step-by-step explanation:

the first equation (y-2=x) becomes y=x+2 when you add 2 to both sides

the second equation (-x=2-y) also becomes y=x+2 when you add y and x to both sides

-x = 2-yy-x=2y=x+2

since both equations are the same the number of solutions is infinite

Please help! Determine whether the conjecture is true or false and put an example on why it is

Answers

Answer:

Step-by-step explanation:

The first one is true. There can't be any other choice.

a = 5959599949 b = 0 then a*b = 0 because b = 0

The Second one is also true, although you may stall trying to figure out what is meant.

Suppose the angle to start with is 30 degrees

There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.

The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.

The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.

2x + 5y = 10 into slope- intercept form

Answers

Answer:

y=-2x+10

Step-by-step explanation

Hope this helped

What is the product?
(-2a² + s) (5a^2 - 6s)

Answers

Answer:

10a²+17a²s-6s²

Step-by-step explanation:

(-2a²+s)(5a²-6s)

= -10a²+12a²s+5a²s-6s²

= -10a²+17a²s-6s²

Answer:

b

Step-by-step explanation:

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