Identify the coefficients, constants, terms and factors of 6x + 12- 3x + 4

9514 1404 393

Answer:

  B.  x = 2

Step-by-step explanation:

The graph is symmetrical about the vertical line through its vertex. The x-value of that vertex is 2, so the line of symmetry is ...

  x = 2

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

Answer:

527 cubic meters

Step-by-step explanation:

The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

Step-by-step explanation:

y = x^3 + 3
y = (-1)^3 + 3
y = -1 + 3
y = 2

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

x=y/12

Step-by-step explanation:

I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.

Answer:

5c = 24.75

Step-by-step explanation:

5c = 24.75  If you divide both sides by 5, you will find out how much each movie cost.

\(\frac{5c}{5}\) = \(\frac{24.75}{5}\)

c = 4.95

Each movie cost $4.95 to rent.

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

\(\frac{8}{30}\)

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

\(p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }\)

               \(=\frac{8}{30}\)

Answer:

Molly played 4 games

Answer:

1;What are two ways limits may appear graphically? What are the differences between these two limits?

two ways limits may appear graphically are:

,we analyze the graph of the function to determine the points that each of the one-sided limits approach.

A graphical approach is used to find an approximate solution to a problem by viewing an interpreting a graphical image accordingly but

A numerical approach is used to find an approximate solution to a problem but may be simpler than an analytical approach.

Step-by-step explanation:

2. What occurs when the limits of a functions of a function at x is not the same from left to right and from right to left?

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

                                                   = $300

Now, the increase in the cost of raw material = $100 + 11% of $100

                                                                           = \(\$100 + (\frac{11}{100} \times \$100)\)

                                                                           = $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

                                                                = \(\$80 + (\frac{20}{100} \times \$80)\)

                                                                = $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

                                                          = \(\$120 - (\frac{15}{100} \times \$120)\)

                                                          = $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

      % increase =  \(\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} \times 100\)

                         =  \(\frac{\$309- \$300}{\$300} \times 100\)

                         =  3%

Hence, the percentage increase in the production cost of the printer is 3%.

Answer:

2438.4

Step-by-step explanation:

multiply 96 by 25.4

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

-20x

Step-by-step explanation:

Let the number be x.

The product of -4 and this number is -4x.

5 times this is 5(-4x), which simplfiies to -20x.

The exponential equation is y = 2700 ( 1 + 0.17 )ⁿ , where n = t , the number of hours since the start of the study

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as y

Now , the number of bacteria cells = y

The number of hours since the start of the study = n = t

The initial number of bacteria = 2,700 cells

The percentage of increase in the cells = 17 %

So , The exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

Substituting the values in the equation , we get

y = 2700 ( 1 + 0.17 )ⁿ

On simplifying the equation , we get

y = 2700 ( 1.17 )ⁿ

where n = t , the number of hours since the start of the study

Hence , the equation is y = 2700 ( 1.17 )ⁿ

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Answer:

F(x) moved right 2 units to become G(X).

According to graph transformations, that means G(X) = F(X - 2) = \((X-2)^{3}\).

I think that's how you do it :\

Answer:

92 canım

Step-by-step explanation:

Anlamadıysan geri sorarsın ve yorumumu beğenirsin tmm mi what iş kaçıncı sınıf taşan bana söyle

Answer:

\(\displaystyle f(x)=\frac{1}{6} x^3+x^2-\frac{3}{2} x-9\)

Step-by-step explanation:

Substitute 2 for x in the expression 9x + 13 to obtain the value at x = 2.

So answer is 31.

Answer:

B

Step-by-step explanation:

3/4 of 16 (which is 1 whole) is 12

Answer:

Infinity

Step-by-step explanation:

x+8 = x+8

-x .      -x

8 = 8 = always true  

Answer:

its smaller and its upside down

Step-by-step explanation: