Given that f(x)= \(\frac{x^{2}-3 }{2}\)
A) Find \(f^{-1}(x)\)
B) Find \(f^{-1} (11)\)
Separate your 2 answers for part B with a comma.
I've solved \(f^{-1}(x)\), which was \(\sqrt{2x+3}\)

However after this I do not see how I can get another value other than 5.

According to the information we ca infer that the equation associated with answer is the graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7) (option D).

To find the graph that corresponds to the equation, we must check that the option matches all four criteria and has the right vertex. In accordance with the above, we must read each of the options and analyze whether they meet these requirements.

According to the previous instruction we can infer that the following function is the one that provides a correct answer to the equation:

y = x2 - 6

Additionally, we can calculate the vertex of the parabola by finding the derivative of the equation when assigned the value of 0.

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The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.

Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.

The discriminant is described below:

Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d²      (1)

Where:

If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:

Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²

Δ = - 1024

The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

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3) Sin B = 5/9.43, Cos B = 8/9.43, Tan B = 5/9.43

4) Angle A is 40 degrees

5) x is  23.8 mm

A specific type of triangle known as a right triangle has a single angle that is exactly 90 degrees, or a right angle. The sides that make up the right angle are the legs and the hypotenuse.

The Pythagorean theorem connects the side lengths of a right triangle by stating that the square of the hypotenuse's length is equal to the sum of the squares of the legs' lengths.

Cos A = 47/61

A = Cos-1(47/61)

= 40 degrees

5) The marked side can be obtained from;

Cos 28 = 21/x

x = 21/Cos 28

x = 23.8 mm

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Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

a) The ratio of red to blue marbles is 1:2.

b) The ratio of white to red marbles is 3:2.

c)  The probability of drawing a white marble from the bag is 33%.

The ratio is the relative size of a value compared to another.

Ratios show the quantity of one variable contained in a larger variable.

On the other hand, the probability is the odds or likelihood that an expected outcome occurs given many possible outcomes.

Both ratios and probabilities can be expressed in fractions, decimals, and percentages because they are fractional values.

The number of red marbles in the bag = 20

The number of white marbles in the bag = 30

The number of blue marbles in the bag = 40

The total number of marbles in the bag = 90

a) The ratio of red to blue marbles = 20:40 = 1:2

b) The ratio of white to red marbles = 30:20 = 3:2

The sum of ratios of all marbles = 9 (2:3:4)

c) The probability of drawing a white marble from the bag = 3/9  = 0.33 or 33%

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

The values of

1. DF = 28cm

2. AC = 64 cm

3. CF = 32 cm

It states that the line segment in a triangle joining the segment of any two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore we can say that;

triangles , BDE, AD ,EFC, DE are congruent.

congruent triangles are triangles with equal sides and equal angles.

D = BE

BE = 56/2 = 28cm

A = DE = 32 cm

AC = 2AF

= 2 × 32 = 64 cm

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The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:I THINK 20 pennis

Step-by-step explanation:u shouldntn trust me but if its right im happy

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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The constant of variation is,

k = 2700

And, For minutes can you spend on your phone if you want to make a 70 is,

T = 38.6 minutes

We have to given that;

The grade you earn in Algebra 2 varies inversely with the amount of time you spend on your phone during classroom instruction.

Here, You are on your phone the entire class (90 minutes) you get a 30 in Algebra 2.

Now, We can formulate;

A = k / T

Where, A is sand for algebra 2 and T for time and k is constant of proportionality.

For A = 30, T = 90 minutes,

A = k / T

30 = k /90

k = 30 x 90

k = 2700

So, For minutes can you spend on your phone if you want to make a 70 is,

A = k / T

Plug A = 70, K = 2700

70 = 2700 / T

T = 2700 / 70

T = 38.6 minutes

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The true statements are:

Fractions are numbers that are represented as the quotient of two integers

From the table, we have the following measurements

39/50 inch, 4/5 inch, 76/99 inch, 1/2 inch, 26/33 inch, 9/10 inch, 2/3 inch and 7/9 inch

Convert the fractions to decimal

0.78 inch, 0.80 inch, 0.77 inch, 0.50 inch, 0.78 inch, 0.90 inch, 0.67 inch and 0.78 inch

From the list of measurements,

3 lengths are less than 0.78 inch wide

This is less than half the number of rulers (i.e 4)

Hence, the supervisor does not need to call someone

When the fractions are converted to decimal, we have:

\(\frac{39}{50} = 0.78\)

This means that:

0.78 as a simplified fraction is 39/50

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9514 1404 393

Answer:

  (b)  It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

Answer:

B

Step-by-step explanation:

Hope you have a nice day! :o)

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Answer:

That'd be

1.3b -3.2b +7.8

-1.9b + 7.8

that's the simplification

don't forget to make my answer the brainliest if it's correct

Answer:

11/12 of the 5th grade ride the bus or walk to school.

Step-by-step explanation:

First you have to find a LCD (least common denominator) for both fractions which is 12.

Second you have to multiply the numerator by whatever you multiplied the denominator by for both fractions

Finally you add both fractions together and you get 11/12

Answer:

130°

Step-by-step explanation:

\(e = \frac{1}{2} (100 \degree - 80 \degree) \\ \\ e = \frac{1}{2} \times 20 \degree \\ \\ e = 10 \degree \\ \\ a = \frac{1}{2} \times 80 \degree \\ \\ a = 40 \degree \\ \\ by \: interior \: \angle \: sum \: postulate \: of \: a \: \triangle \\ a + e + f = 180\degree \\

40\degree + 10\degree + f = 180\degree \\

50\degree + f = 180\degree \\

f = 180\degree - 50\degree \\

\huge \red {\boxed {f = 130\degree}} \)

The 3 options that are like terms are:

3x⁴ and 2x⁴

2x² and 3x²

2x and 3x

Two terms are like terms if the powers of the variable are the same ones, so for example, if in both sides we have x², then these are like terms.

Then the options that are like terms are:

3x⁴ and 2x⁴

2x² and 3x²

2x and 3x

These are the 3 correct options.

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Option B is the correct answer. The sample space = {lemon-lime, lemon-lime, lemon-lime, watermelon, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape, grape}.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given that, Julia had a bag filled with gumballs. There were 3 lemon-lime, 4 watermelon, and 6 grape gumballs.

Sample space contains,

3 lemon-lime: Elements in sample space are lemon-lime, lemon-lime, lemon-lime

4 watermelon: Elements in sample space are watermelon, watermelon, watermelon, watermelon

6 grape: Elements in sample space are grape, grape, grape, grape, grape, grape

In total there are 13 elements in sample space. Therefore, option B is the correct answer.

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Answer:Option B is the correct answer

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

To solve x+3=20

x + 3 = 20 (Subtract 3 on both sides)

x + 3 -3 = 20 - 3

x = 17

So there is 1 solution

Hope this helps :)

The area of the given circle with radius of 5 cm is calculated as 78.5 cm²

We are given that the formula for area of a circle is;

A = πr²

where;

π = 3.14

r is radius and is equal to 5cm

Thus;

Area = 3.14 * 5²

Area = 78.5 cm²

Thus, the area of the given circle with radius of 5 cm is calculated as 78.5 cm²

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Answer:

120

Step-by-step explanation:

Corresponding angles of similar figures are congruent.

The measure for w is 120 degree.

We have ABCD ~ FECG

If two quadrilaterals are similar, it means that their corresponding angles are congruent, and their corresponding sides are proportional.

Then, we can write as

AB/ FE = CB/ EC = CD/ CD = AD/ FG

and, <A= <F,          

<B = <E,

<C= <C,

<D= <G

So, the measure for w is same as angle G.

Thus, the measure for w is 120 degree.

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Answer:

4x>= 10

Step-by-step explanation:

i believe thats the answer

Answer:

D : { -3, 3, 12}

Step-by-step explanation:

I would suggest substituting the range for the function and solving for x like so.

i.e -6 = 1x-3, -6 + 3 = 1x -3 + 3, -3 = x, x = -3.

0 = 1x - 3, 0 + 3 = 1x - 3 + 3, 3 = x, x = 3.

9 = 1x - 3, 9 + 3 = 1x -3 + 3, 12 = x, x = 12

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.