6( 3x + 12)] = 54 what is the value of x ?

The function g(x) = (x + 2)(x − 1)(x − 2) is a polynomial function of degree 3, which means that the highest exponent in the equation is 3.

End Behavior: To determine the end behavior of the function, we look at the leading coefficient, which is positive in this case. This means that the function will approach positive infinity as x approaches positive infinity, and negative infinity as x approaches negative infinity. Therefore, the end behavior of g(x) is "up, up."

Y-intercept: The y-intercept of the function is the point at which the graph of the function crosses the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation, we find that g(0) = (0 + 2)(0 − 1)(0 − 2) = 2(-1)(-2) = 12. This means that the y-intercept of g(x) is (0, 12).

Zeros: The zeros of the function are the x-values at which the function is equal to 0. In this case, the zeros of g(x) are -2, 1, and 2. These are the x-values at which the graph of the function intersects the x-axis.

So, in summary, the key features of g(x) include the end behavior of "up, up," a y-intercept of (0, 12), and zeros at -2, 1, and 2.

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Answer:

It’s the third one, the one that u r clicking on

Step-by-step explanation:

Answer:

\(y = \frac{x}{2} \\ \)

The equation is in the form y=kx, where k=1/2 and it passes through the origin whose slope is 1/2

Moreover, the value of y increases with the value of x

Therefore, the equation y=x/2 represent a proportional relationship

4) Yes, because it's graph is a line that passes through the origin.

The function C(x) = 500/x + 25 represents a mathematical model for calculating the average. It takes an input value x, representing the number of items or observations, and returns the average value. The function consists of two parts: 500/x and 25. The first part calculates the sum of the items divided by the number of items, and the second part represents a constant value that is added to the result.

The function C(x) = 500/x + 25 is commonly used to calculate the average value. In this equation, x represents the number of items or observations for which we want to find the average. The function can be divided into two components: 500/x and 25.

The first component, 500/x, calculates the sum of the items divided by the number of items. This portion of the function determines the magnitude of the average value. As the number of items increases, the denominator (x) becomes larger, resulting in a smaller fraction. Consequently, the average value decreases as more items are added.

The second component, 25, represents a constant value that is added to the result of the first part. This constant can be thought of as an offset or a baseline value. It ensures that the average value is not zero when there are no items (x = 0) and provides a minimum value for the average even when the number of items is small.

In conclusion, the function C(x) = 500/x + 25 provides a mathematical model for calculating the average value. It combines the sum of the items divided by the number of items with a constant offset to determine the average. Understanding the components of the function helps in interpreting the behavior of the average value in relation to the number of items.

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Answer:

Answer is:

-2, 5, 19, 26

Step-by-step explanation:

output = input 7x+5 or

x= y7x+5

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

answer is (d) 4/3

Step-by-step explanation:

-x+3/7=2x-25/7

25/7+3/7=2x+x

28/7=3x

4=3x

x=4/3

The system of equations is consistent and dependent.

The system of equations is given as:

Start by plotting the graph of both equations (see attachment)

From the attached graph, we can see that both equations are represented on a single line.

This means that, the system of equations is consistent and dependent.

This is so because, the system of equations have infinite many solutions.

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Answer:

946 milliliter can

Step-by-step explanation:

She should consider how much is in it. Which one will last longer and is better. The bigger can has more in it so that one should be bought.

Hope this helps!

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The limiting value of the sequence will be the same even if a different value is assigned to x0.

The limiting value of the sequence is determined by the recursive equation xn = √(1996x\(n^{-1}\)). As n grows infinitely large, the value of xn will approach the same limiting value regardless of the initial value assigned to x0. This is because the recursive equation will continue to generate values that are closer and closer to the limiting value, regardless of the starting point.

Therefore in recursive equations, the limiting value of the sequence will be the same even if a different value is assigned to x0.

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Answer:

\(\cos(\theta)=\frac{4}{5}\)

Step-by-step explanation:

Step 1:

Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.

\(a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16\)

We do know that a length can never be negative, so the side b would be 16.

Step 2:

According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:

\(\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}\)

I hope this helps! Let me know if you have any questions :)

Step-by-step explanation:

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Making C the subject of the formula, we have: C = 5(F - 32)/9.

Given the formula, F = 9/5C + 32, we are asked to solve the equation for C, this means we would make C the subject of the formula.

F = 9/5C + 32

Subtract 32 from both sides

F - 32 = 9/5C + 32 - 32

F - 32 = 9/5C

Multiply both sides by 5/9

5/9(F - 32) = 9/5C(5/9)

5(F - 32)/9 = C

C = 5(F - 32)/9

Therefore, making C the subject of the formula, we have: C = 5(F - 32)/9.

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So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.

To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.

But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.

So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

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Answer:

35.

Step-by-step explanation:

The term "absolute value" asks for the number without any negativity, e.g. distance. Even if you go backwards from your original spot, you still move.

Answer:

6 ÷ 3 = -6/-3

(-3)/6 = 3 ÷ (-6) = -(3/6)

6/(-3) = -(6/3)

leftover: -3/-6

\( \qquad \qquad\huge \color{blue}{ \boxed{{ \colorbox{black}{ \underline{ \: \: \: \: \: \: \: \: ANSWER\: \: \: \: \: \: \: \: }}}}} \)

the polynomial 2a +3b -2 is also called a TRINOMIAL

What is TRINOMIAL?

ln elementary algebra,a trinomial is a polynomial consisting of three terms or monomials.

The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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\( \frac{45}{40} = \frac{9}{x} \\ = > \frac{40}{45} = \frac{x}{9} \\ = > x = \frac{40}{45} \times 9 \\ = > x = \frac{40}{5} \\ = > x = 8\)

x = 8

Answer:

165 inches

Step-by-step explanation:

The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.

2.75 inches * 60 = 165 inches

Answer:

The common ratio of the geometric sequence is 3

Step-by-step explanation:

(1) The radius of sphere is 4.5 units.

The volume of volume of sphere is given by :

\(V=\dfrac{4}{3}\pi r^3\)

\(\pi=3.14\ , r=4.5\)

So,

\(V=\dfrac{4}{3}\times 3.14\times (4.5)^3\)

Option C is correct.

(2) If we solve the plugged values, then we get :

\(V=\dfrac{4}{3}\times 3.14\times (4.5)^3\)

\(V=381.5\ \text{units}^3\)

Option C is correct.

Step-by-step explanation:

1. Entrance of Head of State and IOC President

2. Playing of the national anthem

3. The parade of the athletes

4. The symbolic release of doves

5. Olympic Laurel Award

6. Official Speeches

7. Opening of the Games

8. Raising the Olympic flag and playing the Olympic Anthem

9. Athletes, judges and coaches’ oath

10. Lighting of the Olympic flame

11. The artistic programme

Answer:

X

Step-by-step explanation:

KHAN ACADEMY

Answer:

120 m³

Step-by-step explanation:

Answer:

1.2m3... B

Step-by-step explanation:

1 m3 = 1000 litres

? = 1200

1200÷ 1000

1.2 m3

Answer: 540 - 460 =80 thats all you have to do

Step-by-step explanation:

the perimeter of the triangle is 10.2ft (option A)

Given:

A triangle with two angles and a side opposite one of the angles is given

To find:

the approximate length of the vinyl needed

The triangle is right-angled and isosceles as the base angles are equal. To get the approximate length of the vinyl needed, we will be assuming the whole triangle is the table top and vinyl will cover the whole of it

We will use Pythagoras theorem to get the longest side:

Hypotenuse² = opposite² + adjacent²

The two legs are equal since the base angles are equal

opposite = adjacent = 3 ft

Hypotenuse² = 3² + 3²

Hypotenuse² = 9 + 9 = 18

Hypotenuse = √18

Hypotenuse = 4.24

The perimeter of the triangle = Length of the outer edges of the tabletop

The perimeter of the triangle = 3ft + 3ft + 4.24 ft = 10.24 ft

From the options, the perimeter of the triangle is 10.2ft (option A)

Answer:

  see below

Step-by-step explanation:

SAS means you're claiming the corresponding sides on either side of a given angle are congruent. The figures show the sides congruent, so the remaining piece of the puzzle is to show the contained angles, B and J are congruent.