2/3(6x-1/6) + 3x simplify the expression

FG is not a defined term, so there is no way to determine its value.

FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.

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The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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Number of students that do two subjects are 12.

Number of students that do only exactly one subject are;

For Art;

⇒ 14

For Chemistry;

⇒ 11

For Bio;

⇒ 8

Number of students that do at least two of the subjects are 15.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology.

All the students do at least one of the three subjects.

3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only.

Here,

Total students = 48

So, Number of students that do two subjects are = 4 + 3 + 5

                                                                            = 12

And, Number of students that do only exactly one subject are;

For Art;

⇒ 24 - (3 + 4 + 3)

⇒ 14

For Chemistry;

⇒ 22 - (3 + 5 + 3)

⇒ 11

For Bio;

⇒ 20 - (3 + 4 + 5)

⇒ 8

Number of students that do at least two of the subjects are;

⇒ 3 + 3 + 4 + 5

⇒ 15

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The length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a table for showing the relation between length and width of a field;

                Width (w)                                     Length (l)

                       0                                                   50

                     100                                                 150

                     200                                                250

                     300                                                350

We see, that, width is 50 less than the length.

Therefore, the function (w) to represent the length of the field will be =

w = l-50

Hence, the length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

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The table representing ratio of peaches in a box should be completed as follows;

Boxes    Peaches

2                 6

3                 9

5                15

6                18

The table representing ratio of strawberries in a box should be completed as follows;

Boxes    Strawberries

2                 6

4                12

5                15

8                24

In order to have a proportional relationship and equivalent ratios that is constant, the variables x for boxes and y for peaches must have the same constant of proportionality. Next, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 6/2 = 18/6

Constant of proportionality (k) = 3.

When y = 9 peaches, the value of x is given by;

x = y/k

x = 9/3

x = 3 boxes.

When x = 5 boxes, the value of y is given by;

y = kx

y = 3(5)

y = 15 peaches.

Also, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 12/4 = 15/5

Constant of proportionality (k) = 3.

When x = 2 boxes, the value of y is given by;

y = kx

y = 3(2)

y = 6 strawberries.

When x = 8 boxes, the value of y is given by;

y = kx

y = 3(8)

y = 24 strawberries.

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Answer:

5 x 2 x 3.14 = 31.4

Formula of circumference:

radius(half of your diameter or given radius) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2(just always there when finding circumference)

Answer:

Circumference : 31.4 cm

Step-by-step explanation:

Circumference = 2× 3.14 × 5 cm

= 10× 3.14 cm

= 31.4 cm

Following is the graph of two given equations.

The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.

On solving the two equations,

2x-3y=-6                              ....(1)

7x-3y=9                               .....(2)

Firstly we will find common points by elimination -

The common points are - (3,4)

Then We can find all the values of equation (1)

2x-3y=-6                          

x    0      3    -3

y    2      4     0

7x-3y=9

x    0      3    10

y   -3      4    20.33

The respective graph is attached below

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The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].

An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:

[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]

Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.

[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]

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Answer:

The answer is C

Step-by-step explanation:

opposite of y-axis.

Answer:

let's take AC as x

AB is half of AC making it ½x

½x+½x+x+x=120

3x=120

[tex] \frac{3x}{3} = \frac{120}{3} [/tex]

x =120÷3

x=40

therefore AC is 40 while AB is 20

Answer:

AB = 20 ft

AC = 40 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Perimeter (given) = 120 ft.

AB = ½ of AC

AC = 2 AB

Let x be the length of AB.

Then, AC = 2x

Now,

2(2x+x) = 120

2×(3x) = 120

6x = 120

x = 120/6 = 20 ft.

2x = 2×20 = 40 ft.

AB = 20 ft.

AC = 40 ft

can I explain what statistical mean

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] \frac{4}{3} \div 12 \\ = \frac{4}{3} \times \frac{1}{12} \\ = \frac{4}{3 \times 12} \\ = \frac{4}{36} \\ = \frac{1}{9 } \\ = 0.11[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

1/9 is the answer

4/3 x 1/12 just multiply but the reciprocal

hope this helps

have a good day :)

Step-by-step explanation:

10L  fuel does Asma's car use per 100 km of highway driving

In this question, we have to use the unitary method

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What is a unitary in math?

a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.

So from the unitary method, we can solve it

12 L of gasoline per 100 km

so for 5/6

12 L * 5/6

= 10 L

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Answer:

The circumference formula is C=3.14d

Step-by-step explanation:

To find the diameter with the radius you need to multiply 2.09 x 2.

Now you have 4.18, this is your diameter, you're now going to multiply 4.18 with pi, which is typically 3.14, if it's not that it's 22/7.

Your answer would be 13.12

The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.

What is upper and lower bound of a function?

A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.

Given,

 [tex]f(h) = \frac{48-h}{48}[/tex]

where    f(h) = Percentage of battery left

              h = Hours of cell phone use

Lower Bound of parameter h,

h = 0 ( When percentage is 100%)

f(h) = [tex]\frac{48 - 0}{48}[/tex] = 1

Upper bound of parameter h,

h = 48 (When percentage is 0%)

f(h) = [tex]\frac{48-48}{48}[/tex] = 0

Therefore the upper bound of h is 0 and lower bound of h is 1.

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The probability of each of your three friends having an ace is 32%.

The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).

Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.

This means that the probability of each of your three friends having an ace is 32%.

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Answer:

y = 9    x= -11

Step-by-step explanation:

opposite angles of a trapezoid are supplementary.

The two angles of  the same base in an isosceles triangle are congruent.

-6x-16 = 50

-6x = 66

x= -11

The supplementary of 50 is 130

3x+16y+19 = 130

-33 +16y +19 = 130

16y = 144

y = 9

The sum of all 4 angles is 360 degrees

Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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Answer:

A

Step-by-step explanation:

4 times 3 and-4 is 12x and -16 not 7 and -8.

Answer:

True

Step-by-step explanation:

A rectangle is a parallelogram with four right angles, opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles are supplementary, and the diagonals bisect each other.

Answer:

...

Step-by-step explanation:

since the area of a square is side² then we can just square root the area and find the side

first one to the left would be √16, which would equal 4, which in this case is correct

first one the right is √220 which is about 18.832

bottom left √65 which is about 8.062

bottom left √83 which is about 9.110

Answer:

Use Pythagorean to confirm:

Answer:

-4,-2,2

Step-by-step explanation:

look where line reaches zero

In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.  

Diagonal of a rhombus bisects the angles of the rhombus at the vertex.

So as m∠MNL is 120°,

∠MNO = ∠LNO = 120/2 = 60°

The diagonals intersect each other at a 90 degree angle, therefore

m∠MON = 90°

Considering ΔMNO, right angled at O.

cos(∠MNO) = NO/ MN

cos(60) = NO/ 8

NO = 0.5×8 = 4

NP = NO + OP

NP = 2NO

NP = 2×4

NP = 8 in

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Answer:

his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25

Answer: The domain is all values of x that make the expression defined. The range is the set of all valid y values

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be Domain: (-∞, ∞) and   Range: (0,∞).

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

Given :  f(x)=[tex]2^{x}[/tex]+1

If a value has not been added, an exponential function's curve normally approaches a horizontal asymptote at y=0 or the x-axis. The curve changes if it has.

The asymptote is unaffected by this function's addition on the exponent because it does not apply to the entire function.

The values of its y-axis remain between 0 and. This is the set of y values, or the range.

However, depending on the leading coefficient, the range of exponentials can vary. If the value is negative, the graph turns inside-out and the range reaches -. It's also lacking in this.

The exponent's addition to 1 moves the function to the left without changing the range.

The x values in exponential functions are often unaffected and all are taken into account in the function. The domain stays the same even while it changes. Its range is (0,∞)

 Range: (0,∞)

Therefore , the solution of the given problem of function comes out to be

Domain: (-∞, ∞) and   Range: (0,∞).

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