is the product of two rational numbers always a rational number?

Answer:

Your answer is x=7

Step-by-step explanation:

[tex]x - 6 = -3x + 22[/tex] add 6 to both sides

[tex]x - 6(+6) = -3x + 22(+6)[/tex] cross out -6(+6) and add 22+6=28

[tex]x = -3x + 28[/tex] add 3x on both sides

[tex]x (+3x) = (+3x)-3x + 28[/tex]  x+3x=4x and cross out (+3x)-3x

[tex]4x = 28[/tex] divide 4 on both sides

[tex]\frac{4x}{4} = \frac{28}{4}[/tex] cross out 4 leave x and divide 28 and 4 =7

[tex]x=7[/tex]

Answer:

x=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x - 9 = x + 3

6x - 9 = 3

6x = 12

x = 2

7(2) - 9 + 2 + 3

14 - 9 + 5

5 + 5 = 10

Answer:

NOTE: “×” means false.

“✓” means true.

Answer:

4 x 10^7

Step-by-step explanation:

equals 40,000,000

Exact Form - 23/5

Decimal Form - 4.6

Hope This Help's

Answer:

Step-by-step explanation:

1,000

Its the closest from 1000 to 2000

Answer:

G=2H+6. -(1)

Also, G and H are supplementary angles which mean their sum would be180.

G+H=180

G=180-H. -(2)

From (1)&(2)

2H+6=180-H

3H=174

H=58

Hope it helps :-)

Answer:

$3.72

Step-by-step explanation:

$2.79 divided by 3 equal 0.93.

0.93 times 4 equals 3.72.

Answer:

$3.72

Step-by-step explanation:

Step 1:

$2.79 ÷ 3 = 0.93

Step 2:

0.93 × 4

Answer:

$3.72

Hope This Helps :)

Answer:

9w to the power of is 81w

Step-by-step explanation:

Answer:

B. [tex]d = \sqrt{x^2 +y^2}[/tex]

Step-by-step explanation:

Answer:

78,718.5

Step-by-step explanation:

2.1*102=214.2

3.5*105=367.5

214.2*367.5=78,718.5

Answer:m=-11/3

Step-by-step explanation:

Answer:

-11/3

Step-by-step explanation:

We have two points so we can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -12-10)/(11 -5)

   = -22/6

    = -11/3

Answer:

x = 1/2 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

abs(12 x + 12) = 18

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

12 x + 12 = 18 or 12 x + 12 = -18

Hint: | Look at the first equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

12 x = 6 or 12 x + 12 = -18

Hint: | Solve for x.

Divide both sides by 12:

x = 1/2 or 12 x + 12 = -18

Hint: | Look at the second equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

x = 1/2 or 12 x = -30

Hint: | Solve for x.

Divide both sides by 12:

Answer: x = 1/2 or x = -5/2

Answer:

1. am

Step-by-step explanation:

work is shown and pit

Answer:

Option A

Step-by-step explanation:

If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)

14 ft x 28 ft = 392 square feet

Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.

The pool is twice as long as it is wide. Its width is 14 feet.

If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].

Then the [tex](14 (2)=28)[/tex].

So,

[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet

Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

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2x + 3 =15

the answer is x=6 !!

Answer:

x = 6

Step-by-step explanation:

2x + 3 = 15

2x = 15 - 3

2x = 12

2x/2 = 12/2

x = 6

Answer:

f^-1(x)=x-3/2

Step-by-step explanation:

we have f(x)=2x+3

let

y=f(x)

y=2x+3

Exchanges the variables x for y and y for x

x=2y+3

isolate the variable y

2y=x-3

y=x-3/2

let

f^-1(x)=y

f^-1(x)=x-3/2

Answer:

Step-by-step explanation:

The answer is B on Edgenuity

f^-1 (x) = 1/2x - 3/2

Answer:

-35 feet each second

Step-by-step explanation:

Divide -420 by 12:

-420/12

= -35

So, the change in the plane' elevation is -35 feet each second

Answer:

-35 feet per second

-420/12 = -35

Answer:

y= -7 - 5x

Step-by-step explanation:

Move all of the terms that dont contain y to the right side and then solve it.

Hope this helps.

The value of the given equation in the form of y is y= -7 - 5x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given equation is -5x – y = 7. The value of the expression for the value of y will be calculated as below:-

-5x – y = 7

-y = 7 + 5x

y = -7 - 5x

Therefore, the value of the given equation in the form of y is y= -7 - 5x.

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Answer: Its 6

Step-by-step explanation: The answer is 5.99894 then you round it to 6.

The radius of the bucket, to the nearest whole number, is 7 inches.

So, option A. is correct.

Here, we have,

To solve the formula v = πR²h for R, we can rearrange the equation as follows:

v = πR²h

R² = v / (πh)

R = √(v / (πh))

Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:

R = √(615 / (3.14 * 4))

Calculating the value, we have:

R ≈ √(48.98)

R ≈ 7

Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.

Hence, So, option A. is correct.

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Answer:

All of the following equations have the same solution except 3m + 2 = -10.

Step-by-step explanation:

Answer:

1) A point P is named or labeled by using a coordinate pair, where the regular notation is:

P = (x, y).

Where x and y are the horizontal and vertical components.

2) Three distinct points are collinear if exists a line that passes through the 3 points.

3) Three distinct points are complanar if they are not collinear, this means that:

We can have two colinear points (so one line connects them) and another point outside that line.

Then the set of 3 points is coplanar.

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the 9 cm is covered every 5.5 minutes, hence:

1 mile = 160934 cm;

9 cm = 9 * 1/160934 = 9/160934 mile

1 day = 1440 minutes

5.5 minute = 5.5 *  1/1440 = 5.5/1440 day

Hence:

Speed = distance/time

Speed = (9/160934 mile)/(5.5/1440 day)

Speed = 0.01 mile per day

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

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Answer:

B. 6.75 in

Step-by-step explanation:

ABCDEF ~ RSTUVQ

➡️ [tex] \frac{A \: F}{QR} = \frac{AB}{RS} [/tex]

➡️ [tex] \frac{9}{4} = \frac{x}{3} [/tex]

➡️ [tex]x = \frac{27}{4} [/tex]

➡️ [tex] = 6.75 \: in[/tex]

Answer:

x = 3/4 would be the correct answer.

Step-by-step explanation:

Add four to both sides

Divide both sides by -8

Simplify 6/8 to 3/4

Answer:

please mark brainliest ! It means that dilations map angles to angles, and the dilation preserves the measures of the angles. dilations. Dilations map lines to lines, rays to rays, and segments to segments.