What is g^-1(x)? What is the domain of g^-1(x)?

Please help!! It’ll be greatly appreciated!!

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Coordinates of point A = (-1,7)

if y = 3x

Then when x = 0, y = 0

when y = 0, x = 0

So the distance between two points can be found using

so distance from A (-1, 7) and (0,0)

=> x1 = -1, y1 = 7

=> x2 = 0, y2= 0

Answer: 3.5 grams

8/8=1, 28/8=3.5

3.5 grams per serving

Step-by-step explanation: Hope this helps shor.ty :)

Answer:

step by step explanation Is given above

Answer: Let's call the present age of Emma x, the present age of Carson y, and the present age of their dad z.

From the information provided we know that:

x + y = (1/2)z + 4

We can find the value of z by isolating it:

x + y = (1/2)z + 4

x + y + 4 = (1/2)z + 4 + 4

x + y + 4 = (1/2)z + 8

2(x + y + 4) = z

We don't know the actual age of Emma, Carson and their dad, we only know the relationship between them.

Step-by-step explanation:

Answer:

number is -155

Step-by-step explanation:

let the number equal 'x'

quotient means divide

nine more means plus 9

quotient of a number and 5 means x divided by 5

9+ x/5 = -22

now to solve for x

x/5 = -31

x = -155

The perimeter and area of the rectangle with given vertices are  24 units and the area is 27 square units.

To find the perimeter and area of the rectangle with the given vertices, we can use the distance formula and the formula for rectangle area.

First, let's find the lengths of the sides using the distance formula:

Side AB: √[(x₂ - x₁)² + (y₂ - y₁)²]

         = √[(5 - 5)² + (-3 - 6)²]

         = √[0² + (-9)²]

         = √81

         = 9

Side BC: √[(x₂ - x₁)² + (y₂ - y₁)²]

         = √[(2 - 5)² + (-3 - (-3))²]

         = √[-3² + 0²]

         = √9

         = 3

Now, we can calculate the perimeter by adding the lengths of all four sides:

Perimeter = AB + BC + CD + DA

         = 9 + 3 + 9 + 3

         = 24

To find the area of the rectangle, we can use the formula:

Area = Length × Width

The length of the rectangle is AB = 9 and the width is BC = 3.

Area = 9 × 3

        = 27

Therefore, the perimeter of the rectangle is 24 units and the area is 27 square units.

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Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Step-by-step explanation:

8a3 + 9t + 7a3 +6t + 8a2

8a³+7a³+8a²+9t+6t

15a³+8a²+15t

Find the number of 50 pounds that COULD possibly lift

This means is looking for a maximum number, not a minimum number.

A maximum number means x, can only have a value between 0 and a positive number. So x is LIMITED

The only way x can be limited is in an equation inequality with < sign, and x is at the LEFT.

so in Sam's inequality x is at LEFT,it has a > sign

in Ronnie's inequality x is at LEFT, and it has < sign

so definitely second option, Ronny option is the correct one option.

Answer:

Given : A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC  is equal to the measure of the exterior angle

The base of the triangle extends into a straight line.

The angle formed between this straight line and the edge of the triangle is marked as p.

The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)  Step 2:  m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p

Step 4: So, m∠m + m∠n = m∠p

To Find : In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

Solution :

student first make a mistake in 1st step.

Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)

∠p is the exterior angle   he used ∠p instead of  ∠o

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)

Step 2:  m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p

Step 4: So, m∠m + m∠n = m∠p

Step-by-step explanation:

It will take  12 minutes until they complete a lap at the same time

To find the time it takes for Sue and Dean to complete a lap at the same time, we need to find the least common multiple (LCM) of 4 and 6.

Prime factorizing 4 and 6, we get:

4 = 2 x 2

6 = 2 x 3

The LCM is the product of the highest powers of all the prime factors, so LCM(4, 6) = 2 x 2 x 3 = 12.

This means that Sue and Dean will complete a lap at the same time every 12 minutes.

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Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

An equation for the linear function is f(x) = x - 3.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (-2, -5), a linear function in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-5) = (-1 - (-5))/(4 - (-2))(x - (-2))

y + 5 = (1 + 5)/(4 + 2)(x + 2)

y + 5 = 6/6(x + 2)

y = x + 2 - 5

f(x) = y = x - 3

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Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

Answer:

math is hard

Step-by-step explanation:

Answer:

22.386

Step-by-step explanation:

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

31/50 is the simplest fraction form

Answer:

The mean of the sample means will be equal to the population mean. Therefore, the answer is 4.1 sick days.

Step-by-step explanation:

Assuming that the sample means are unbiased estimators of the population mean, the mean of the sample means will also be equal to the population mean. Therefore, the answer is 4.1 sick days.

Answer:

approximately 64.2% of the total capacity of the water storage tank is being used.

Step-by-step explanation:

The radius of the cylindrical tank is half of the diameter, which is 14/2 = 7 ft. The volume of the tank is given by the formula for the volume of a cylinder:

V = πr^2h

where r is the radius and h is the height or depth of the water. Substituting the given values, we have:

V = π(7 ft)^2(9 ft) ≈ 1385.4 ft^3

The total capacity of the tank is the volume when it is filled to the top, which is the volume of the cylinder:

V_tot = πr^2h_tot

where h_tot is the total height of the cylinder. The height of the cylinder is twice the radius (since the cross-section is a circle), so:

h_tot = 2r = 2(7 ft) = 14 ft

Substituting and simplifying, we have:

V_tot = π(7 ft)^2(14 ft) = 2156.6 ft^3

The fraction of the tank's capacity that is being used is:

V/V_tot = 1385.4/2156.6 ≈ 0.642

To express this as a percentage, we multiply by 100 and round to one decimal place:

0.642 × 100% ≈ 64.2%

Therefore, approximately 64.2% of the total capacity of the water storage tank is being used.

hola ny yo no puedo y quiero la respuesta

Answer:

B.

21---------------->7

24--------------->8

27--------------->9

Step-by-step explanation:

Since there are 21 cheesecakes for every 7 blocks of cream cheese, we can set up the an equation

So that means there are 3 cheesecakes for every block of cream cheese

So we can create a table

3----------------->1

6------------------>2

9----------------->3

12---------------->4

15---------------->5

18---------------->6

21---------------->7

24--------------->8

27--------------->9

The equation would be:

y = 3x

21 = 3(7)

The mean is 27.3. and the median is 24.5.

A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.

Part A:

Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:

15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273

273 / 10 = 27.3

Therefοre, the mean is 27.3.

Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.

Median = (24 + 25) / 2 = 24.5

Therefοre, the median is 24.5.

Part B:

The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.

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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 average world population during the time period of 1950 to 2000 is approximately 4.7 billion.

To estimate the average world population, we need to evaluate the population at both endpoints and then take the average.

Substituting t = 0 (which corresponds to the year 1950) into the equation, we get:

P(0) = 2560e^(0.017185*0) = 2560

So the estimated world population in 1950 was 2560 million.

Substituting t = 50 (which corresponds to the year 2000) we get:

P(50) = 2560e^(0.017185*50) = 6789.9...

Rounding to the nearest million, we get P(50) ≈ 6790 million.

The average world population during the time period of 1950 to 2000 is approximately (2560+6790)/2 = 4675 million, or 4.7 billion (rounded to the nearest billion).

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Answer:

The proportion of hours will be the number of purchases at the online store exceed 1,400

P(z>1) = 0.1587

Step-by-step explanation:

Step (i):-

Given mean of the Population (μ) = 1200

Standard deviation of the population (σ) = 200

let   X be the random variable in normal distribution

Given x = 1400

Step(ii) :-

The proportion of hours will be the number of purchases at the online store exceed 1,400

\(Z = \frac{1400-1200}{200} = 1\)

P(z>1) = 0.5 - A(1)

           = 0.5 - 0.3413

           = 0.1587

The percentage of hours will be the number of purchases at the online store exceed 1,400  is  15.87%

Answer:

Answer C

Step-by-step explanation:

By the empirical rule, 68% of the number of purchases in an hour will be between 1,000 and 1,400, so 100%−68%=32% of the number of purchases in an hour will fall outside of the interval. Since the normal distribution is symmetric around the mean, half of 32%, which is 16%, of the number of purchases in an hour will exceed 1,400.

Answer: no one cares

Step-by-step explanation: