The solution of a linear equation with rational coefficients is a rational number. A. Always B. Never C. Sometimes

Answers

Answer 1

9514 1404 393

Answer:

  A.  Always

Step-by-step explanation:

A linear equation with rational coefficients can be written in the form ...

  ax +b = 0

The solution for the variable x is ...

  x = -b/a

The problem statement tells us that 'a' and 'b' are rational numbers. Assuming there is a solution (a≠0), that solution is the ratio of rational numbers, hence must always be rational.


Related Questions

at what ordered pair do the lines x=4 and y=-3 intersect?

Answers

x = -4 is a vertical line. The x-coordinate will always stay the same regardless of any y-coordinate paired with it.

y = -3 is a horizontal line. Similarly, the y-coordinate will always stay the same regardless of any x-coordinate paired with it.

Therefore, they will intersect at point (4, -3).

Fourteen less children's meals were served
than adult meals at a barbecue. Children's
plates were $1.50 each and adults' plates
were $2.00 each. If the total amount of
money collected was $441, how many of
each type of plate was served?

Answers

441 + 14(1.50) = 462
462 / (2.00+1.50) = 132
132 - 14 = 118

132 adult plates were served and 118 children plates were served.

what is the value of y

a cannot be determined

b 120°

c 60°

d 66°​

Answers

It’s an equilateral triangle. All sides and angles are equal. Answer is C.

All 3 Angles = 180

60 + 60 + x = 180

120 + x = 180 (subtract 120 from each side)

X = 60

3+2-1+[(5+2-3+10-4)+(2+7-6):(5+2-8)+3]

Answers

Answer:

= 14/1

= 14

Step-by-step explanation:

7. A caterer knows there is one broken egg in every 3 cartons. A carton contains 12 eggs.
A caterer plans to serve 1200 eggs. What is the best estimate the number of cartons the caterer should buy?

Answers

9514 1404 393

Answer:

  103

Step-by-step explanation:

For 1200 eggs, the caterer needs ...

  (1200 eggs)/(12 eggs/carton) = 100 cartons

of unbroken eggs.

The rate of broken eggs is 1 in 3×12 = 1 in 36, so the caterer must buy 36 eggs for each 35 unbroken eggs delivered.

Then the number of cartons that must be purchased is ...

  (100 cartons)(36/35) = 102 6/7 cartons

The caterer should buy 103 cartons of eggs.

solve pls brainliest

Answers

Answer: 8>a

Step-by-step explanation:

If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.

since 1995, the daily cost of patient care in community hospitals in the US has increased about 4% pee year. in 1995, such hospital costs were an average of $968 per day. Write an Equation to model the cost of hospital care since 1995.​

Answers

Answer:

answer below

Step-by-step explanation:

y = 968(1 + 0.04)^t. This is before adding it

y = 968(1.04)^26. This is after adding it and including the years for t = time.

I hope this helps, sorry if it doesn't

a. At 9am, the temperature was 34 degrees be
At 8pm, it dropped 6 degrees. What was the ending temperature?
b. At 6am, the temperature was 65 degrees above zero, by 2pm it dropped 17
degrees. At 6pm it dropped another 10 degrees. What is the ending
temperature?

Answers

Answer:

hi I need help

Step-by-step explanation:

Hey ! Can anyone help with this question please and thanks

Answers

Answer:

x=9

Therefore angles 7x-4 = 6x-4 = 59 degree

Step-by-step explanation:

7x-4 = 6x-4    Findings; alternate angles

                      Although any coefficient angles can be set = to each other.

7x-6x-4 = +5  Subtract 6x from both sides

x -4 = 5

x = 5+4           Add 4 to each side

x = 9

Find the angle degree

6(x) + 5 = 7(x) - 4    Plug 9 in to x

6(9) + 5 = 7 (9) - 4

54 + 5 = 63-4

59 = 59

x = 59 degree.

Suppose the value of x varies from x = a to x = b . There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a ? times as large Therefore, b is what percent of a ? % Hence, if x varies from x = a to x = b , x changes by what percent?

Answers

The change in the value of x, as a percentage, is given by:

[tex]\frac{b - a}{a} \times 100\%[/tex]

The percentage change is given by the change multiplied by 100% and divided by the initial value.

In this question, x varies from [tex]x = a[/tex] to [tex]x = b[/tex], which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:

[tex]\frac{b - a}{a} \times 100\%[/tex]

A similar problem is given at https://brainly.com/question/24729807

Answer:

Step-by-step explanation:

i. b is how many times as large as a?

b/a

ii. Therefore, b is what percent of a?

b/a*100

iii. Hence, if x varies from x=a to x = b, x changes by what percent?

(100b)/a-100

Look at the two graphs. Make two statements that compare/contrast the two graphs.

Answers

Answer:

both same as in the diffecnce of the number of addition

Step-by-step explanation:

Both of the graphs appear to be linear because they both go in a straight line. However, the graph on the left is positive on the one of the right is negative!

Write the equation of the line that passes through the points (3,-2) and (-2,8).

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :

[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \dfrac{ - 2 - 8}{3 - ( - 2)} [/tex]

[tex] \dfrac{ - 10}{5} [/tex]

[tex] - 2[/tex]

slope (m) = -2

now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)

[tex]y = mx + c[/tex]

[tex] - 2 = (3 \times - 2) + c[/tex]

[tex] - 2 = - 6 + c[/tex]

[tex]c = - 2 + 6[/tex]

[tex]c = 4[/tex]

Y - intercept of the given line is 4, so the required equation will be :

[tex]y = - 2x + 4[/tex]

HELP PLEASE
will mark brainliest

Answers

Answer: x - 3 = F

Explanation: :b

Please help me with this question now

Answers

Answer:

1.  Cheque and Debit card

2. Saving account and Chequing account

3. Routine transaction and Transaction register

4. NSF cheque

5. Overdraft protection

6. Financial situation

Step-by-step explanation:

7. Michael deposited $200 into his bank account. He then wrote checks for
$20 and $30. Then he deposited $40 dollars more. Which of the following
represents the changes in the value of Michael's account?
a) 200 - 20-30 + 40
b) 200 - 20 + 30 + 40
c) 200 + 20 - 30 - 40
d) 200+ 20 - 30 + 40

Answers

Answer:

a) 200-20-30+40

Step-by-step explanation:

represents the changes in the value of Michael's account is d) 200 + 20 - 30 + 40.

Step-by-step explanation:

Known :

Michael deposited $200 into his bank account, He then wrote checks for $20 and $30, Then he deposited $40 dollars more.

Asked :

Which of the following represents the changes in the value of Michael's account?

Answered :

$200 + $20 - $30

= 200 + 20 - 30 + 40.

pls answer fast I don't know how to do this stuff​

Answers

Answer:

it is 1024 terabytes or 1 million gigabytes. It is 2 to the 50th power. 3 to the 11th power for this example. 179622.425146 or 3*10^15

pls mark brainliest

Two baseball teams are playing each other twice. Enter the values to complete the possible outcomes for one team. Use W for a win and L for a loss. Then enter the number of outcomes in the sample space.

Answers

First game: W second W
First game W second L
First game L second L
First game L second W

Answer:

2+2+2 x 2 so 12

Step-by-step explanation:

well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so

write six multiples of 2/5

Answers

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ……Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24,

Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.

(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?

Answers

Answer:

7 gal/min * 14 min = 98 gallons

Step-by-step explanation:

please help this is for my study guide thanks! ​

Answers

Answer:

-23/40, 9/24, 20/32, 7/8, 10

Step-by-step explanation:

You get paid $10 an hour. How many hours do you gotta work till you make $5000

Answers

Answer:

500 hrs equal to 5000 dollars

Create and solve another problem about jeremiah and his lemonade stand which requires multiplying decimals

Answers

Answer:

Step-by-step explanation:

What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom.

Answers

Answer:

Step-by-step explanation:

Face perimeter is

7.5 + 4(1.5) + 3(2.5) = 21 ft

Perimeter wall area

21(1.5) = 31.5 ft²

Face area (x2 for front and back)

2(7.5(1.5) + 2.5(1.5)) = 30 ft²

Total surface area

31.5 + 30 = 61.5 ft²

A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments

Answers

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

Help?

Slope= 9, (-5,2)

Answers

If an equation had a slope of 9 and went through the point (-5, 2) then the equation would be:

y = 9x + 47

Explanation: slope intercept equation is represented by y = mx + b. M represents slope and B represents the y-intercept (which is the place where the graph crosses the y-axis.) So using the info we know about the graph going through (-5, 2) and that the slope is 9 (or m = 9) then we could determine that the y-intercept is 47. Now, using everything we have found thus far, we can fill in the slope intercept equation.

The graph is shown below:

The base of a trangle with a height of 7 units is represented by the formula b+2/7A. The base or a triangle is less than 10 units. Write and solve an Inrquality that represents the possible area A of the triangle

Answers

Step-by-step explanation:

hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve

What is cos(338)? Solve by hand, no calculator.
Correct answer gets BRAINLIEST.

Answers

9514 1404 393

Answer:

  0.927184

Step-by-step explanation:

Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)

The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...

  cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²

For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...

  cos(π/8) = √(2 +√2)/2 ≈ 0.92387953

  sin(π/8) = √(2 -√2)/2 ≈ 0.38268343

If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...

  cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984

This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.

__

Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.

_____

Additional comment

Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).

Can anyone help me with this question

Answers

Answer:

The last one.

Step-by-step explanation:

Just do the things inside the ()'s first. Then work your way out. Hope this helped!

Which number is a perfect cube?
03
O 15
064
0 567

Answers

A perfect cube is 64

Can someone help me with this one please

Answers

Answer:

1.)no

2.)yes

3.)yes

4.)no

5.)yes

6.)no

7.)yes

8.)yes

9.)no

10.)no

11.)yes

12.)yes

13.)yes

14.)no

15.)no

16.)yes

17.)no

18.)yes

19.)no

20.)no

21.)yes

22.)yes

23.)yes

24.)yes

Step-by-step explanation:

i hope that helps..

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