4+1/2=
me ayudan plis​

Answer:

I have completed it and attached in the explanation.

Step-by-step explanation:

Answer:

Hie..! Here's the answer

Thanks ✨

Answer:

10.35

Step-by-step explanation:

23% is also means 0.23 so you just need to

0.23 * 45 = 10.35

pls brainiest

Answer:

10.35

Step-by-step explanation:

Answer:

\(y = -x + 115\)

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

\((x_1,y_1) =(55,60)\)

\((x_2,y_2) =(45,70)\)

Calculate slope (m)

\(m = \frac{y_2 -y_1}{x_2 - x_1}\)

This gives:

\(m = \frac{70 - 60}{45 - 55}\)

\(m = \frac{10}{-10}\)

\(m = -1\)

The equation is the calculated using:

\(y = m(x - x_1) + y_1\)

This gives

\(y = -1(x - 55) + 60\)

Open bracket

\(y = -x + 55 + 60\)

\(y = -x + 115\)

The correct system of equations that represents the cost relationships for the two cell phone plans is option(a) Megacell: y = 0.1x + 14.8 and Fun Fone: y = 0.08x + 18.5.

Let's break down the given information for the two cell phone plans:

Megacell charges $14.80 per month plus 10 cents per minute for every minute over 200. This means that the cost (y) for using x minutes over 200 can be represented by the equation y = 0.1x + 14.8. The $14.80 represents the fixed monthly charge, and the 10 cents per minute over 200 is added to the total cost.

Fun Fone charges $18.50 per month plus 8 cents per minute for every minute over 200. This means that the cost (y) for using x minutes over 200 can be represented by the equation y = 0.08x + 18.5. The $18.50 represents the fixed monthly charge, and the 8 cents per minute over 200 is added to the total cost.

Therefore, the correct system of equations that represents these cost relationships is Megacell: y = 0.1x + 14.8 and Fun Fone: y = 0.08x + 18.5, which corresponds to option A.

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y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+c, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

x₁=9, y₁=0,x₂=0,y₂=3

Apply in slope formula

m=3-0/0-9

m=-1/3

So slope of line passing through (9,0) and (0,3) is -1/3.

y=-1/3x+c

Put (9,0) in x and y place

0=-1/3(9)+c

0=-3+c

c=3

y=-1/3x+3

Hence y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)

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Answer:

2.  3.913 kg (3 dp)

3.  light cream

4.  240 CoffeeStops

5.  7 CoffeeStops per square mile

6.  2,861 cups of coffee each day

Step-by-step explanation:

Given:

Question 2

\(\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}\)

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)

---------------------------------------------------------------------------------------------

Question 3

Given:

\(\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}\)

Therefore, the container holds light cream.

---------------------------------------------------------------------------------------------

Question 4

Given:

\(\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}\)

Therefore, there are 240 CoffeeStops.

---------------------------------------------------------------------------------------------

Question 5

Given

\(\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}\)

Therefore, the density of CoffeeStops is 7 per square mile.

---------------------------------------------------------------------------------------------

Question 6

Given:

\(\begin{aligned}\implies \textsf{Cups served each week} & = \textsf{number of people} \times \textsf{number of cups per week}\\& = \sf 1,602,000 \times 3\\& = \sf 4,806,000\: \textsf{cups per week}\\\\\implies \textsf{Cups per day} & = \sf \dfrac{\textsf{cups per week}}{\textsf{days in a week}}\\\\& = \sf \dfrac{4,806,000}{7}\\\\& = \sf 686,571\:\textsf{(nearest whole number)}\end{aligned}\)

\(\begin{aligned}\implies \textsf{Cups served per day per shop} & = \dfrac{\textsf{cups per day}}{\textsf{number of shops}}\\\\& = \sf \dfrac{686,571}{240}\\\\& = \sf 2,861\: \textsf{(nearest whole number)} \end{aligned}\)

Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.

Answer:

y= 23/2

Step-by-step explanation:

Answer:

y = 76/3

Step-by-step explanation:

2 (6y + 7) = 152

 12y + 14 = 152

         -14      -14

        12y  = 152

          /12      /12

             y = 76/3

Answer:

\(x=3\frac{3}{4}\)

Step-by-step explanation:

(8x - 3) = (16x - 33)

8x - 3 = 16x - 33

8x - 3 + 3 = 16x - 33 + 3

8x = 16x - 30

8x - 16x = 16x - 16x - 30

- 8x = - 30

- 8x ÷ - 8 = - 30 ÷ - 8

\(x=3\frac{3}{4}\)

The value of x for the given equation is x = 3.75.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The given equation is as below,

(8x -  3) = (16x- 33)

It is a linear equation in variable x. It can be simplified as below,

(8x -  3) = (16x- 33)

=> 16x - 8x = 33 - 3

=> 8x = 30

=> x = 3.75

Hence, the solution of x for the given equation is x = 3.75.

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Answer

a) Volume of the cylinder = 80π cm³ = 251.43 cm³

b) New volume of the cylinder when radius triples = 720 π cm³ = 2262.86 cm³

The new volume = 9 × (The original volume) when the radius is tripled.

c) New volume of the cylinder = 20π cm³ = 62.86 cm³

The new volume = ¼ × (The original volume) when the radius is halved.

OR

The original volume = 4 × (The new volume) when the radius is halved.

Explanation

The volume of a cylinder is given as

Volume of a cylinder = πr²h

where

π = pi

r = radius of the cylinder

h = height of the cylinder

a) Volume of a cylinder, radius = 4 cm, height = 5cm

Volume of a cylinder = πr²h

Volume of the cylinder = π (4²) (5) = 80π cm³

b) The new volume of the cylinder when the radius is tripled.

Original radius = 4 cm

When it is tripled,

New radius = 3 (4 cm) = 12 cm

Height = 5 cm

Volume of a cylinder = πr²h

Volume of a cylinder = π (12²) (5) = 720π cm³

We can see that the new volume is 9× the original volume.

c) The new volume of the cylinder when the radius is halved.

Original radius = 4 cm

When it is halved,

New radius = ½ (4 cm) = 2 cm

Volume of a cylinder = πr²h

Volume of a cylinder = π (2²) (5) = 20π cm³

We can see that the new volume is ¼× the original volume.

Or the original volume is 4 × the new volume when the radius is halved.

Hope this Helps!!!!

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

\(y=a(x-h)^2+k\)

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

\(y=a(x-(-8))^2+(-7)\)

Simplify:

\(y=a(x+8)^2-7\)

Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

\((-4)=a((-7)+8)^2-7\)

Solve for a. Add within the parentheses:

\(-4=a(1)^2-7\)

Square:

\(-4=a-7\)

Add 7 to both sides. Therefore, the value of a is:

\(a=3\)

So, our entire equation in vertex form is:

\(y=3(x+8)^2-7\)

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

\(y=a(x-(-2))^2+2\)

Simplify:

\(y=a(x+2)^2+2\)

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

\(5=a((-1)+2)^2+2\)

Solve for a. Add within the parentheses.

\(5=a(1)^2+2\)

Square:

\(5=a+2\)

Subtract 2 from both sides. So, the value of a is:

\(a=3\)

Therefore, our entire equation is:

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

Our answer is C.

And we're done!

So, the equivalent system of equations is: −3x + y = 12, −3x + 3y = 18, −3x + 4y = 30, −3x + 2y = 18.

To create an equivalent system of equations using the sum of the system and the first equation, we can add the first equation to each of the other equations. Here's the resulting system:

Equation 1: −3x + y = 12

Equation 2: −3x + 3y = 18 (sum of Equation 1 and Equation 2)

Equation 3: −3x + 4y = 30 (sum of Equation 1 and Equation 3)

Equation 4: −3x + 2y = 18 (sum of Equation 1 and Equation 4)

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An equivalent system of equations can be created by adding the first equation to the sum of the system, resulting in: -3xy + (-2x + 4y) = 18.

To create an equivalent system of equations using the sum of the system and the first equation, we need to combine the given system of equations with the first equation.

The given system of equations is:
−3xy = 12
3y = 6

To create an equivalent system of equations, we can add the first equation to the sum of the system:

−3xy + (−3xy + 3y) = 12 + 6

Simplifying this equation:

−6xy + 3y = 18

Therefore, the equivalent system of equations using the sum of the system and the first equation is:

−3xy = 12
3y = 6
−6xy + 3y = 18

In this new system, the first two equations remain the same, while the third equation is the result of adding the first equation to the sum of the system. This equivalent system allows us to solve for the variables x and y.

Remember to always check your answers by substituting the values of x and y back into the original equations to ensure they satisfy all equations in the system.

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Answer:

609638400

Step-by-step explanation:

Answer:

609638400

Step-by-step explanation:

Each row must alternate boys and girls, so every row is either BGBGB or GBGBG, where B denotes a boy and G denotes a girl. Since there are 8 girls and 7 boys, the teacher must have two rows of GBGBG and one row of BGBGB. There are three ways to choose this row, and once this is done, every seat is reserved for either a girl or a boy. There are 8! ways to arrange the girls in their seats, and 7! ways to arrange the boys, so the total number of seating arrangements is 3 * 7! * 8!

Answer:

2.9 miles.

Step-by-step explanation:

Just divide 5.8 and 2.

Answer:

2.9 miles

Step-by-step explanation: 5.8/2=2.9

one simple way to take a peek at this is by looking at the APY value, namely the Annual Percent Yield for each of the choices, and use the one that gives you the higher APY, higher APY, higher bucks.

\(~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1 \\\\ \textit{for the 8\%} \begin{cases} r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2 \end{cases} \\\\\\ \left(1+\frac{0.08}{2}\right)^{2}-1\implies (1.04)^2-1\implies 0.0816~\hfill 8.16\%\)

\(\textit{for the 8.15\%} \begin{cases} r=rate\to 8.15\%\to \frac{8.15}{100}\dotfill &0.0815\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1 \end{cases} \\\\\\ \left(1+\frac{0.0815}{1}\right)^{1}-1\implies (1.0815)-1\implies 0.0815~\hfill 8.15\%\)

well, clearly the first one has a higher APY, so you'd want that one.

Men will have completed oil changes in hours Therefore, Will and Gabriel will each have done 12 oil changes after 4 hours.

Hours is a unit of time measurement. It is used to measure a specific amount of time and is usually denoted by the symbol “h”. There are 24 hours in a day, 60 minutes in an hour and 60 seconds in a minute. Hours are used to measure both short and long periods of time. Commonly, hours are used to measure the length of a workday, the length of a school day, or the length of a movie. Hours are also used to measure how long a person has been alive, how long an event has been going on, or how long an item has been in use.

Let W be the total number of oil changes Will has completed, and G be the total number of oil changes Gabriel has completed.

System of equations:

W = 8 + 2t

G = 3t

Since they will be tied at some point during the day, W = G.

Substituting W into G's equation:

8 + 2t = 3t

Solving for t:

2t = 8

t = 4

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Answer:

1.) 18/36

2.) 9/36

3.) 12/36

4.) 3/36

Answer:

1. 1/2

2. 1/4

3. 1/3

4. 1/12

Step-by-step explanation:

Each grid has a total amount of 36 squares. Count the grey squares and use that as a ratio to the squares in total. Simplify your ratios, and there you have it. I saved la life bruda 8)

Answer: C

Step-by-step explanation:

The costs of a pack of pasta, a pack of noodles, and a pack of split peas are Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack

Step-by-step explanation:

Equation of ellipse depends on the points

The points that lie on the horizontal axis is (0,8) and (4,8). They have a distance of 4, therefore a radius of 2

The points that lie on the vertical axis is (2,3) and (2,13)

They have a distance of 10, therefore a radius of 5

Since the vertical axis is bigger, we have a vertical ellipse which is the equation of,

\( \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1\)

Where a is the major radius

b is the minor radius

(h,k) is the center

Step 1: Finding the center

The center should be the midpoint of the horizontal vertices or vertical vertices

Let's use the horizontal vertices

\( (\frac{(0 + 4}{2} ) = 2\)

\(( \frac{8 + 8}{2} ) = 8\)

So the center is (2,8)

Step 2: Finding the major and minor radius

We already know it , a is 5

b is 2, so we as of now, have this equation

\( \frac{(y -8) {}^{2} }{25} + \frac{(x - 2) {}^{2} }{4} = 1\)

This is the equation of the ellisoe

Step 3: Find the foci

The foci for a vertical ellipse should lie on the same line as the same line as the major vertices and center.

The equation for an ellipse foci that is vertical are

(x,y+c) and (x,y-c)

Where C is

\(c = \sqrt{ {a}^{2} - {b}^{2} } \)

\(c = \sqrt{25 - 4} \)

\(c = \sqrt{21} \)

So our foci are

,,,

\((2,8 + \sqrt{21} )\)

and

\((2,8 - \sqrt{21} )\)

,

As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.

A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)

Given:

The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.

The dimensions of the New image have 35% width and 35% height.

Width = 0.35 × 300 = 105

Height = 0.35 × 450 = 157.5

Scale factor = New Dimension/Original Dimension

Scale factor of Height = 157.5/450 = 0.35

Scale factor of width =  105/300 = 0.35

Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.

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The option "b. all events are equally likely in any probability procedure" is not a principle of probability. In reality, events can have different probabilities assigned to them based on various factors and conditions.

The principle of equal likelihood states that in certain cases, when no information is available to distinguish between outcomes, all outcomes are considered equally likely. However, this principle does not apply universally to all probability procedures.

The principle of equal likelihood, stated in option "b," is not a universally applicable principle of probability. While it holds true in some specific scenarios, it does not hold for all probability procedures.

Probability is a measure of the likelihood of an event occurring. It is based on the understanding that events can have different probabilities assigned to them, depending on various factors and conditions. The principles of probability help to establish the foundation for calculating and understanding these probabilities.

The other three options listed—options "a," "c," and "d"—are recognized principles of probability. Firstly, option "a" states that the probability of an impossible event is 0. This principle reflects the notion that if an event is deemed impossible, it has no chance of occurring and therefore has a probability of 0.

Option "c" states that the probability of any event is between 0 and 1 inclusive. This principle indicates that probabilities range from 0, indicating impossibility, to 1, indicating certainty. Probabilities cannot exceed 1, as that would imply a greater than certain chance of occurrence.

Lastly, option "d" states that the probability of an event that is certain to occur is 1. This principle recognizes that if an event is certain, it has a probability of 1, meaning it will happen with absolute certainty.

In contrast, the principle of equal likelihood, mentioned in option "b," is not universally applicable because events can have different probabilities based on various factors such as prior knowledge, available data, and underlying distributions. Probability is determined by analyzing these factors, and events are not always equally likely in all probability procedures.

Overall, while options "a," "c," and "d" are recognized principles of probability, option "b" does not hold as a general principle and should be considered as the answer to the question posed.

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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Answer:

  less than a number of g's equal to the coefficient of friction (assuming level roof and no air drag)

Step-by-step explanation:

We assume the top of the car is parallel to the ground when the car is accelerating. (We also assume that air drag does not come into play.) If k is the coefficient of static friction, the force required to move the book bag is kmg, where m is the mass of the book bag. That force will be applied if the acceleration of the car is kg.

The bag will stay in place if the car's acceleration is less than the product of the coefficient of static friction and the acceleration due to gravity.

__

Additional comment

This changes if the car is on a slope or the acceleration causes it to pitch up. At higher speeds, air pressure will introduce significant force, so probably cannot be neglected. If the coefficient of friction is about 0.2, then the acceleration needs to be less than about 4.38 miles per hour per second. (0 to 43.8 mph in 10 seconds)

Answer:

yes

Step-by-step explanation:

The probability of getting a sample mean greater than 85 thunderstorms per month for a sample of ten months is 0.0008.

The probability that the number of thunderstorms in a single month is greater than 85 can be found using the z-score formula.

z = (85 - 75) / 20 = 0.5

Using a standard normal distribution table, the probability of z being less than 0.5 is 0.6915. So the probability of having more than 85 thunderstorms in a single month is 1 - 0.6915 = 0.3085 or about 30.85%.

t = (85 - 75) / 2.00 = 5.00

Using a t-distribution table with 9 degrees of freedom, the probability of t being greater than 5.00 is very close to 0. Therefore, the probability of having a mean of more than 85 thunderstorms per month in a sample of ten months is extremely low.

Therefore, the probability of getting a sample mean greater than 85 thunderstorms per month for a sample of ten months is 0.0008.

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The equations for the inverses are: 1.) y = (x - 3) / -8  (2.) y = (3x + 15) / 2  (3.)y = 2x - 20  (4.)y = √x + 3

To find the inverse of each given relation, we need to interchange the roles of x and y and solve for the new y. Let's go through each relation one by one:

1.) y = -8x + 3:

Interchanging x and y, we have x = -8y + 3. Now, let's solve for y:

x - 3 = -8y

y = (x - 3) / -8

Therefore, the equation for the inverse of y = -8x + 3 is y = (x - 3) / -8.

2.) y = 2/3x - 5:

Interchanging x and y, we have x = 2/3y - 5. Now, let's solve for y:

3x = 2y - 15

2y = 3x + 15

y = (3x + 15) / 2

The equation for the inverse of y = 2/3x - 5 is y = (3x + 15) / 2.

3.) y = 1/2x + 10:

Interchanging x and y, we have x = 1/2y + 10. Solving for y:

2x = y + 20

y = 2x - 20

The equation for the inverse of y = 1/2x + 10 is y = 2x - 20.

4.) \(y = (x - 3)^2:\)

Interchanging x and y, we have\(x = (y - 3)^2\). Solving for y:

√x = y - 3

y = √x + 3

The equation for the inverse of\(y = (x - 3)^2\) is y = √x + 3.

In summary, the equations for the inverses are:

1.) y = (x - 3) / -8

2.)y = (3x + 15) / 2

3.)y = 2x - 20

4.)y = √x + 3

For  more question on inverses visit:

https://brainly.com/question/3831584

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