Which of the following is the set of all real number x such that x-2 < x-4?

Answer:

x>1

Step-by-step explanation:

5x - 4 > 4 - 3x

Add 3x to each side

5x+3x - 4 > 4 - 3x+3x

8x -4 > 4

Add 4 to each sdie

8x-4+4 > 4+4

8x> 8

Divide each side by 8

8x/8 >8/8

x > 1

Step-by-step explanation:

5x-4>4-3x

5x+3x>4+4

8x>8

8x/8>8/8

x=1

Explanation:

Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.

Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.

Answer: It is a rational number

Step-by-step explanation:

any number that can be written in the form of fraction is rational number (or as   the a decimal that has a end or repeating decimal are rational number)

7.8=39/5

Hope this helps!! :)

Please let me know if you have any question

Answer:

end point of a segment  X₂ = - 8 ;  Y₂ = 21

Step-by-step explanation:

given;

midpoint = ( Mx = -4 , My = 13 )

endpoint ₁  = ( X₁ = 0 ,  Y₁ = 5 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 4 = (0 + X₂) / 2                 13 = (5 + Y₂) / 2

-8 = 0 + X₂                         26 = 5 + Y₂

X₂ = -8                                    Y₂ = 21

Answer:

Quedan 3 libras de azúcar en el costal.

Step-by-step explanation:

Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:

[tex]x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}[/tex]

[tex]x = 25\,lb[/tex]

Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:

[tex]x = 28\,lb-25\,lb[/tex]

[tex]x = 3\,lb[/tex]

Quedan 3 libras de azúcar en el costal.

The total amount of sugar left in the sack is 3 pounds.

Using the conversion:

1 kg = 2lb

2.5kg =5lb

Amount of sugar left in the sack = Total  - amount sold

Amount of sugar left in the sack = 28lb - 25lb

Amount of sugar left in the sack = 3lb

Learn more on conversion here:  https://brainly.com/question/11207931

Answer:

See attached graph.

Step-by-step explanation:

This equation is already in slope-intercept form.

This means the term next to the x is the slope, and the constant being added is the y-intercept.

We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].

A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.

This info can help us make the graph.

Hope this helped!

Answer:

x - 5

Step-by-step explanation:

x^3 -5x^2 +3x -15 = x^2 +3 times length

therefore:

(x^3 -5x^2+3x -15)/(x^2 +3) = length

= x - 5

Answer:

a) Equation of the tangent of the parabola

12 x - y -16=0

b)

slope of the tangent  at x=2.1

[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]

slope of the tangent  at x=2.01

[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]

Step-by-step explanation:

Step(i):-

Given parabola  y = x³  ....(i)

Differentiating equation (i) with respective to 'x'

  [tex]\frac{dy}{dx} = 3x^{2}[/tex]

slope of the tangent

[tex](\frac{dy}{dx})_{(2,8)} = 3x^{2} = 3(2)^{2} =12[/tex]

Step(ii):-

Equation of the tangent of the parabola

[tex]y-y_{1} = m (x-x_{1} )[/tex]

y-8 = 12 (x -2)

12 x - 24 -y +8 =0

12 x - y -16=0

b)

slope of the tangent  at x=2.1

[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]

slope of the tangent  at x=2.01

[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]

Answer:

27.89

Step-by-step explanation:

It is 27.89 because if you subtract 2 from 30 you get 28 and 28- 0.11 is 27.89

Answer:

morning - 40

afternoon - 85

Step-by-step explanation:

The bus traveled 40 miles in the morning and 85 miles in the afternoon.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The school bus traveled five miles more on a field trip in the afternoon than it did in the morning. If the journey was 125 kilometers long

Let x the distance traveled by bus in the morning.

As per the given condition, we can get the equation shown below:

⇒ x + 2x + 5 = 125

⇒ 3x + 5 = 125

⇒ 3x = 120

⇒ x = 40

In the afternoon, the bus traveled 2x + 5 miles.

Now substitute the value of x in the equation for the afternoon miles to include:

⇒ 2 × 40 +5 = 85

Therefore, the bus traveled 40 miles in the morning and 85 miles in the afternoon.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Answer:

0.3125

Step-by-step explanation:

type that into a calculator

Answer:

3.4567

3.4568

Step-by-step explanation:

We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.

We need to dive to the ten-thousandths place to get numbers between the two.

Answer:

+9-22=-13

Step-by-step explanation:

Its 13 yrds lost

Question #2 Answer: 76

Calculate 4 to the power of 3 and get 64.

64−(−3)381​+9≈76

Calculate −3 to the power of 3 and get −27.

64−−2781​+9=76

Divide 81 by −27 to get −3.

64−(−3)+9=76

The opposite of −3 is 3.

64+3+9=76

Add 64 and 3 to get 67.

67+9=76

Add 67 and 9 to get 76.

76

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

Question #3 Answer: -4

Calculate 2 to the power of 4 and get 16.

16−324​−12=−4

Divide 24 by 3 to get 8.

16−8−12=−4

Subtract 8 from 16 to get 8.

8−12=−4

Subtract 12 from 8 to get −4.

−4

Answer:

Step-by-step explanation:

Answer:

[tex]x=2y+6[/tex]

Step-by-step explanation:

So we have the system:

[tex]-x+2y=-6\\3x+y=8[/tex]

If we isolate the x-variable in the first equation:

[tex]-x+2y=-6[/tex]

Subtract 2y from both sides:

[tex]-x=-6-2y[/tex]

Divide both sides by -1:

[tex]x=2y+6[/tex]

Therefore, we would substitute the above into the second equation:

[tex]3x+y=8\\3(2y+6)+y=8[/tex]

The answer is 2y+6

Further notes:

To solve for the system, distribute:

[tex]6y+18+y=8[/tex]

Simplify:

[tex]7y+18=8[/tex]

Subtract:

[tex]7y=-10[/tex]

Divide:

[tex]y=-10/7\approx-1.4286[/tex]

Now, substitute this value back into the isolated equation:

[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]

Step-by-step explanation:

Start by solving the equation for x (☓)

[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]

[tex]x = 6 + 2y[/tex]

[tex]3(6 + 2y) + y = 8[/tex]

[tex]y = - \frac{10}{7} [/tex]

[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]

[tex]x = \frac{22}{7} [/tex]

[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]

[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]

Answer:

750 feet below sea level

Step-by-step explanation:

This submarine is now 750 feet below sea level because:

450 + 300 = 750.

So, the answer is 750.

Hope this helps you!

Answer:

41/120, 7/20, 43/120, 11/30, 3/8

Step-by-step explanation:

Write the numbers.

1/3 & 2/5

We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.

Multiply 1/3 by 20/20:

1/3 = 20/60

Multiply 2/5 by 12/12:

2/5 = 24/60

Let's multiply each fraction again, but this time by 2/2.

1/3 = 40/120

2/5 = 48/120

Now it's easy to find 5 numbers between 40 and 48, so we get:

41/120, 42/120, 43/120, 44/120, 45/120

Some of these fractions can be reduced, so our answer is:

41/120, 7/20, 43/120, 11/30, 3/8

Answer:

  3) Dilation and rotation

Step-by-step explanation:

Rotation, translation, and reflection are rigid motions. They always result in congruent figures. If you don't want a congruent figure, you need to have dilation by a factor other than 1.

Similar, but not congruent, figures will be created by ...

  Dilation and Rotation

Answer:Dilation and rotation

Step-by-step explanation:

Answer:

$17.82

Step-by-step explanation:

[tex]125.05 - 28.35 = 96.7 \\ 96.7 - 78.88 = 17.82[/tex]

Answer: $232.48

Step-by-step explanation: an equation you could use would be:

125.25+(28.35+78.88)

Add parentheses: 28.35+78.88= 107.23

Add the rest: 125.25+107.23= 232.48

Answer:

-2

Step-by-step explanation:

between each point on the graph, the line goes down two and over one. 2/1 = 2. the slope is negative because it goes downwards

Answer:

slope could be -2/1. or -2

Step-by-step explanation:

if you do rise and run/ look at the change

rise: 2_____change in y:-2

run: 1______change in x:1

HOPE THIS HELPS!

Answer:

f-1(x) = x/6

Step-by-step explanation:

y = 6x

--> x = y/6

rewrite : (substitute x for y and y for x to get the reverse function)

y = x/6

Answer:

Hey there!

Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.

Hope this helps :)

Answer:

12 inches

Step-by-step explanation:

area of square is given by side ^2 = side * side

given

area of square print = 9 sq. inches

side ^2 = 9 sq. inches

[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]

Thus, side length of print is 3 inches.

Perimeter of square is given by 4*side

Perimeter of print is =   4*side = 4*3 inches = 12 inches    answer

Answer:

it is Greater than because blue and green combined equal to 12

Answer:

AD=2

Step-by-step explanation:

[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]

Answer:

H = 3t + 8

Step-by-step explanation:

Since the plant has an initial height of 8 inches, this will be added to the amount it grows each month.

3t will represent how much it grows t months after he bought the plant, since it grows 3 inches each month.

So, the equation will be H = 3t + 8

Answer: m(x) = -7x

Step-by-step explanation:

egen2020

The which function has an inverse that is a function is m(x) = -7x

let f be a Function. If any horizontal line intersects the graph of f extra than once, then f does now not have an inverse. If no horizontal line intersects the graph of f greater than once, then f does have an inverse. The belongings of getting an inverse may be very vital in arithmetic, and it has a call.

There are one-of-a-kind forms of inverse function just like the inverse of trigonometric functions, the inverse rational capabilities, inverse hyperbolic features, and inverse log capabilities.

Learn more about Function here https://brainly.com/question/10439235

#SPJ2