Find the inverse of f(x) = 4x + 2.
The inverse of f is g(x) PLSSSS HELPPPPP!!!!!

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units

Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.

3/15=\(\frac{1}{5}\)

I hope this helps!

\( {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)\)

The exponential function in this problem represents a decay, with a percentage rate of 6%.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The function is classified as growth or decay as follows:

The function in this problem is defined as follows:

y = 15(0.94)^x.

As |b| = 0.94 < 1, the function is a decay function, and the rate is obtained as follows:

1 - r = 0.94

r = 1 - 0.94

r = 0.06

r = 6%.

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Answer:

58/100

Step-by-step explanation:

9514 1404 393

Answer:

  115/198

Step-by-step explanation:

The repeat is 2 digits, so you can multiply the number by 10 to that power.

  x = 0.58080...(2-digit repeat)

  100x = 58.08080...(2-digit repeat)

Then subtract the original number.

  100x -x = 99x = 58.08080... -0.58080... = 57.5

Now, divide by the coefficient of x.

  x = 57.5/99 = 115/198

This fraction cannot be reduced, so is the fraction you're looking for.

  0.580...(2-digit repeat) = 115/198

_____

Additional comment

The number of 9s in the denominator is the number of repeating digits. If the repeat started at the decimal point, the fraction would be those two repeating digits divided by two 9s (99).

Your number can be considered to be ...

  0.58080...(2-digit repeat) = 0.5 + 0.0808...(2-digit repeat)

This will be ...

  0.58080... = 1/2 + 8/99 = 99/198 +16/198 = 115/198

Answer:

Option A is the right answer mate...

Answer:

A. 2

Step-by-step explanation:

Given:

DC = 1

CE = x + 4

AB = 11

BE = x + 1

Required:

Value of x

Solution:

(DC + CE) × CE = (AB + BE) × BE

(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)

(x + 5) × (x + 4) = (x + 12) × (x + 1)

x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)

x² + 9x + 20 = x² + 13x + 12

Collect like terms

x² - x² + 9x - 13x = - 20 + 12

-4x = -8

Divide both sides by -4

x = -8/-4

x = 2

Answer

A.2 edg 2021

Step-by-step explanation:

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

D - (3, -1)

Step-by-step explanation:

An easy alternative to solving system of equation problems (with answer choices) is to plug in the answer choices and see which ones satisfy the system of equations.

You could also solve the system of equations by cancelling out either x or y, then further solving.

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Answer:

i need points

Step-by-step explanation:

plz thanks

The value of k in the given function is 3

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 graph, representing two functions, f(x) and g(x),

We have, g(x) = f(k-x), we need to determine the value of k

From the graph,

g(1) = 5

and

f(2) = 5

Therefore,

g(1) = f(2)

1 = k-2

k = 3

Hence, the value of k is 3

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Answer:

1st, 2nd, and 3rd models are correct

Step-by-step explanation:

Answer:

I know right! There so annoying!!

I agree because not all of us can access links and it's lazy

The answer is 3/10.

Im sure.

Answer:

The polynomial is:

\(p(x) = x^3 + 2x^2 - 3x + 20\)

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros \(x_1, x_2, x_3\) the following way:

\(p(x) = a(x - x_1)(x - x_2)(x - x_3)\)

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

So

\(p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))\)

\(p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)\)

\(p(x) = ((x-1)^2 - (2i)^2)(x + 4)\)

\(p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)\)

Since \(i^2 = -1\)

\(p(x) = (x^2 - 2x + 1 + 4)(x + 4)\)

\(p(x) = (x^2 - 2x + 5)(x + 4)\)

\(p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20\)

\(p(x) = x^3 + 2x^2 - 3x + 20\)

Answer:4$

Step-by-step explanation:

less than zero

Step-by-step explanation:

when the discriminant is less than zero, then it has no real solutions. this can be written as

b²-4ac<0 has no real solutions.

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

y = 2x + 3

Step-by-step explanation:

You can find the slope on the graph by looking at the points. From one point to the next you go Up2Over1.

Up2Over1 is the slope and in actual algebra it is 2/1, which is just 2.



The slope is 2. Fill in 2 in place of m in

y = mx + b

y = 2x + b

Next the y-intercept which is the b, can also be seen on the graph. The y-intercept is where the graph crosses the y-axis. The line crosses the y-axis at 3. Fill in 3 in place of the b.

y = 2x + 3

d= -16.

\(-10=-2+\frac{1}{2}d\)

\(-10+2=-2+\frac{1}{2}d+2\neq \\\\ -8=\frac{1}{2}d\)

\(\frac{-8}{\frac{1}{2}} =\frac{\frac{1}{2}d}{\frac{1}{2}} \\ \\-8*2=d\\ \\-16=d\\ \\d=-16\)

\(-10=-2+\frac{1}{2}(-16)\\ \\-10=-2-8\\ \\-10=-10\)

That's correct! The answer is d= -16.

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Answer:

the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

Step-by-step explanation:

Given that :

The mean value \(\mu\) = 12

The standard deviation \(\sigma\) = 3.5

Let Consider Q to be the weight of the parcel that is normally distributed .

Then;

Q \(\sim\) Norm(12,3.5)

The objective is to determine thewight  value of c under which there is a surcharge

Also, let's not that 99% of all the parcels are below the surcharge

However ;

From the Percentiles table of Standard Normal Distribution;

At 99th percentile; the value for Z = 2.33

The formula for the Z-score is:

\(Z = \dfrac{X- \mu}{\sigma}\)

\(2.33 = \dfrac{X - 12}{3.5}\)

2.33 × 3.5 = X - 12

8.155 = X - 12

- X = - 12 - 8.155

- X = -20.155

 X = 20.155

the weight  value of c under which there is a surcharge = X + 1 (0) since all the  pounds are below the surcharge

c = 20.155 + 1(0)

c = 20.155

Thus ; the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

like i said the ? would be a 5

Answer:

Yes, it means that both of you obtain a result with the same precision and accuracy.

Step-by-step explanation:

It is provided that two different people took measurements in order to find the length of a rod.

The first person took 30 measurements.

The second person took 20 measurements.

Both the people got the same average length, i.e. L₀.

In statistics, a larger sample leads to an error free result.

So, for the first person the larger sample helped reducing the chance of any sort of error that may be present.

For the second person, the average is same as the first even when their sample size is less than the first.

This may happen because the sample was selected with a certain precision and accuracy.

Thus, both of them obtain a result with the same precision and accuracy.

y-(-9) = -6(x-(-4)), y = -6x-33

The average amount paid in 2005 is $4,452.6

The given equation for the average price;

\(y = \frac{30000 \ + \ 2.2x^2}{1 \ + \ 0.23x^2}\)

where;

x is defined as the number of years from 2000

The average amount paid from 2000 to 2005 is calculated as follows;

Substitute 5 into the model equation given to determine the average amount paid;

\(y = \frac{3000 0 + 2.2(5)^2}{1 + 0.23(5)^2} \\\\y = \$ \ 4,452.6\)

Thus, the average amount paid in 2005 is $4,452.6

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