40 POINTS! Classify the function as even, odd or neither. Be sure to include your work to justify your classification.

Answer:

f(g(x)) = 9x² - 6x - 4

Step-by-step explanation:

f(g(x) )

= f(3x - 1)

= (3x - 1)² - 5 ← expand factor using FOIL

= 9x² - 6x + 1 - 5

= 9x² - 6x - 4

Answer:what

Step-by-step explanation:what does this mean

The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:

Step 1: Replace f(x) with y: y = (1/2)x.

Step 2: Swap x and y: x = (1/2)y.

Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.

Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.

Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:

f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.

As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

Answer:

basically do 23+35+27+48+18+35= 186 then divide it by how many there are (6) = 31 so the answer is 31

Answer:

31 is the mean points Jeremy scored

Using the probability concept, it is found that there is a 0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.

The question is incomplete, but the pie-chart can be found in the internet.

Hence:

\(p = \frac{129702}{145717} = 0.8901\)

0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.

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Answer:

x < 1

Step-by-step explanation:

3x + 2<5  (subtract 2 on each side)

3x< 3 (Divide 3 on both sides)

x < 1

Answer:

1

Step-by-step explanation:

For the equation to be true k must make the right side be equal to 0. The only value of k which does this is 3 as 3-3=0. Any other value would not equal 0 hence the only answer is 3 meaning there is one solution.

Answer:

2 solutions

Step-by-step explanation:

When we solve this we first isolate k by adding 3 on both sides. When we add 3 this becomes:

\(3 = |k|\)

Now to find out the possible values, remember that absolute values turn negative values to positive. k now has 2 possible values, 3 and -3.

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Therefore , the solution of the given problem of graphs comes out to be  graph of y  = 2ˣ .

Graphs are used by theoretical physicists to visually or analytically vertices chart assertions rather than values. Typically, a graph point shows the relationship between several different objects. A graph is a particular kind of  train assembly consisting of groups and lines. The networks, also known as the borders, should be joined with glue. The edges of this network had the digits 1, 2, 3, and 4, along with the numerals (2.5), (3.5),

Here,

y =  logₐ(x); logarithmic function (x)

The matching points that must appear on the graph x = bx can be found using the procedure below.

Step 1: In the equation  

=> x = bˣ

=> 2= b¹

=> b =2

replace (2,1) with the value of x and y.

Step 2: Now change the number of b in the equation to make

=> y = 2ˣ

Step 3: The above equation becomes y=2 at (x = 1).

Step 4 - The equation (2) becomes: at (x = 2)

Step 5 - The equation (2) becomes: y = 16 at (x = 4)

The graph of y  = 2ˣ

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Step-by-step explanation:

four million seven hundred thousand can be written by

4,700,000

Solution

For this case we can do the following:

The probability of select one movie magazine is:

p = 2/15

Then after the first selection we have jus 14 so then the probability to select a nature magazine would be:

p= 3/14

And the final probability would be:

p = 2/15 * 3/14 = 1/35

Answer:

5.1

Step-by-step explanation:

When dividing or multiplying numbers, the answer should have the same amount of significant figures as the number in the problem with the least amount of sig figs.

In the problem 65.8 ÷ 13 ...

65.8 has 3 sig figs

13 has 2 sig figs

13 has THE LEAST AMOUNT OF SIGNIFICANT FIGURES

So, this means the answer must have the same number of sig figs as 13.

Let's round 5.0615384615 to TWO significant figures

the 6 in the number must be rounded up!

Final answer: 5.1

5.1 has  TWO sig figs like the number 13

To apply the Divergence Theorem, we need to first find the divergence of the vector field F:

div(F) = ∂/∂x(x²) + ∂/∂y(-y²) + ∂/∂z(z²)

= 2x - 2y + 2z

Next, we find the bounds for the region D by setting the two plane equations equal to each other and solving for z:

9 - x - y = 6 - x - y

z = 3

So the region D is bounded below by the xy-plane, above by the plane z = 3, and by the coordinate planes x = 0, y = 0, and z = 0. Therefore, we can set up the integral using the Divergence Theorem as follows:

∫∫F · dS = ∭div(F) dV

= ∭(2x - 2y + 2z) dV

= ∫₀³ ∫₀^(3-z) ∫₀^(3-x-y) (2x - 2y + 2z) dz dy dx

We can simplify this integral using the limits of integration to get:

∫∫F · dS = ∫₀³ ∫₀^(3-x) ∫₀^(3-x-y) (2x - 2y + 2z) dz dy dx

= ∫₀³ ∫₀^(3-x) [(2x - 2y)(3-x-y) + (2/3)(3-x-y)³] dy dx

= ∫₀³ [∫₀^(3-x) (2x - 2y)(3-x-y) dy + ∫₀^(3-x) (2/3)(3-x-y)³ dy] dx

Evaluating the two inner integrals, we get:

∫₀^(3-x) (2x - 2y)(3-x-y) dy = -x²(3-x) + (3/2)x(3-x)²

∫₀^(3-x) (2/3)(3-x-y)³ dy = (2/27)(3-x)⁴

Substituting these back into the integral and evaluating, we get:

∫∫F · dS = ∫₀³ [-x²(3-x) + (3/2)x(3-x)² + (2/27)(3-x)⁴] dx

= 9/5

Therefore, the net outward flux of the vector field F across the boundary of the region D is 9/5.

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Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer:

abc 33 and dcb nsbsbhshe

Answer:

96

144

192

Step-by-step explanation:

Answer:

18 I think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Reagan brought 2 caramel brownies.

Solve using a proportion.

\(\frac{?}{20}\)=\(\frac{10}{100}\)

You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.

Proportion:

\(\frac{?}{20}\)=\(\frac{10}{100}\)

10 x 20 = 200

200/100= 2

Thus, Reagan brought 2 caramel brownies.

Answer:

y=-5x/7-32/7

Step-by-step explanation:

Answer: 1

8-9=-1

-1 additive inverse is 1                

Answer:

equation of g(x) is 3-x

then,,

ie.. g(x)=3-x

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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Answer:

Yes, he divided correctly

Step-by-step explanation:

Given

\(Parts = 8\)

\(Location = \frac{1}{8}\)

Required

Was his calculation correct?

Yes, he divided the number line correctly.

Given that the number of intervals on the number line is x.

When divided into 8 parts, we have:

\(Location = \frac{x}{8}\)

\(Location = \frac{1}{8}x\)

This means that each point on the number line will be located at 1/8 interval between one another.

Hence, Dave is correct

The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.

In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:

3.3 = log(I/0.001)

To isolate I, we need to convert the equation into exponential form:

10^(3.3) = I/0.001

Simplifying the equation, we have:

I = 10^(3.3) * 0.001

Using a calculator, we find that 10^(3.3) is approximately 1995.26.

So, the seismograph reading of the earthquake is:

I = 1995.26 * 0.001

≈ 1.99526.

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Ben Collins plans to buy a house for $184,000, and if the real estate in his area is expected to increase in value by 3 percent each year, its approximate value will be around $208,943.95 six years from now.

To calculate the approximate value of the house six years from now, we can use the formula for compound interest: \(\(A = P(1 + r/n)^{nt}\), where \(A\)\) is the future value, \(\(P\\)) is the principal amount, \(\(r\)\) is the annual interest rate (expressed as a decimal), \(\(n\)\) is the number of times that interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the principal amount is $184,000, the annual interest rate is 3 percent (or 0.03 as a decimal), the compounding is done annually \((so \(n = 1\))\), and the time period is 6 years. Plugging these values into the formula, we get:

\(\(A = 184,000(1 + 0.03/1)^{(1)(6)}\)\)

Simplifying the equation, we have:

\(\(A = 184,000(1.03)^6\)\)

Evaluating this expression, we find:

\(\(A \approx 208,943.95\)\)

Therefore, the approximate value of the house six years from now would be around $208,943.95, assuming a 3 percent annual increase in real estate value.

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The scale factor is: 5/3.5 ≈ 1.43

The value of x = 12.

The scale factor is a numerical value used to describe the proportional relationship between two similar objects or figures. It is the ratio of the length of a corresponding side in one figure to the length of the same side in the other figure.

Thus, Scale factor = Dimension of the new shape ÷ Corresponding Dimension of the original shape

Therefore, we have:

Scale factor = J'H" / JH

= 5/3.5 ≈ 1.43

Using the scale factor, we can find x as shown below:

x = 8.4 * scale factor

x = 8.4 * 5/3.5

x = 12

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Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

After the second outer loop iteration, the list is [6,1,7,8,9].

To determine the list after the second outer loop iteration, let's assume we're working with a simple bubble sort algorithm. Here are the steps:
1. First outer loop iteration:
  - Compare 6 and 9; no swap.
  - Compare 9 and 8; swap to get [6,8,9,1,7].
  - Compare 9 and 1; swap to get [6,8,1,9,7].
  - Compare 9 and 7; swap to get [6,8,1,7,9].
2. Second outer loop iteration:
  - Compare 6 and 8; no swap.
  - Compare 8 and 1; swap to get [6,1,8,7,9].
  - Compare 8 and 7; swap to get [6,1,7,8,9].

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