The table represents some points on the graph of an exponential function
Which function represents the same relationship?

After observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The polynomial function of degree zero is a constant function.

Linear Function: The first-degree polynomial function.

Quadratic Function: The degree of two polynomial functions.

Cubic Function: The degree of three polynomial functions.

So, the table is shown:
x           f(x) =4x+1           g(x) = 3ˣ⁺¹ ⁻ ⁴    

-3             -11                    -35/9    

-2              -7                     -11/3

-1               -3                      -3

0                1                       -1

1                 5                       5

2                9                      23

3                13                     77

We must resolve the equation f(x) = g. (x)

We must determine the value of x such that f(x) = g. (x).

You can see from the provided table that when x = 1

f(x)  =5, g(x) = 5

Therefore, after observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

Know more about functions here:

https://brainly.com/question/10439235

#SPJ1

Correct question:

The table shows values for functions f(x) and g(x)

x f(x)=4x+1 g(x)=3x+1−4

−3 −11 −359

−2 −7 −113

−1 −3 −3

0 1 −1

1 5 5

2 9 23

3 13 77

What is the solution to f(x)=g(x) ?

Select each correct answer.

−3

−2

−1

0

1

2

3

The points A', B', and C' are (1, 3), (3, 0) and (4, 2) respectively. The solution has been obtained by using the concept of transformation.

What is transformation?

On a coordinate plane, forms can be translated, rotated, and reflected thanks to transformations. Any line, any point, and any vector can be reflected, rotated, and translated.

We are given coordinates of triangle ABC as A (1, -3), B (3, 0) and C (4, -2).

Now, we need to rotate the triangle 180 degrees about the origin.

We know that the rotation rule for rotating 180 degrees about the origin is that (x, y) becomes (-x, -y).

So, we get the new coordinates as

A' (-1, 3)

B' (-3, 0)

C' (-4, 2)

Now, on reflecting it over the y - axis, we get

A' (1, 3)

B' (3, 0)

C' (4, 2)

Hence, the points A', B', and C' are (1, 3), (3, 0) and (4, 2) respectively.

Learn more about transformation from the given link

https://brainly.com/question/29788009

#SPJ1

5,364 → 5,000

Therefore, 5,364 rounded to the nearest thousand is 5,000

Answer:

5000

Step-by-step explanation:

See, the thousands digit is not really in play, if the hundreds place is 5+, you raise the thousand up and if it's 4 or less, you round it down

Have you heard of 'five or more, raise the score, four or less, let it rest'

And for ex: 3678 rounded to the nearest thousand is 4000

Answer: D. 85 ×245

is this help you give e hearts please

Answer:

D. 85 ×245

Question:

Which expression can be used to find the volume of the rectangular prism in cubic centimeters? The Image shows a prism with a base area of 245 square cm and a height of 85 cm.

The median age of the remaining students in Professor Melendez's college algebra class is 18.5.

To find the median age of the remaining students in Professor Melendez's college algebra class, we need to first remove the outliers, which are the ages of 27 and 47. After removing these outliers, we are left with 8 ages: 19, 18, 18, 18, 7, 19, 20, and 18. To find the median age, we need to arrange the ages in order from least to greatest. The ordered list of ages is: 7, 18, 18, 18, 19, 19, 20. Since there are an even number of ages, we need to find the average of the middle two ages, which are 18 and 19. Thus, the median age of the remaining students is (18 + 19) / 2 = 18.5.

Find out more about median age

brainly.com/question/16642349

#SPJ4

The shaded region is below both lines, and the boundary line y = 2x - 1 is dashed because the inequality is strict. The solution can be described as: y < 5 - 3x and y < 2x - 1.

Inequality is a mathematical statement that compares two values or expressions. It uses symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to indicate the relationship between the two expressions. Inequalities are used to represent a range of possible values, rather than just a single value as in an equation.

Here,

We have the system of inequalities:

y + 3x < 5

2x - y > 1

To solve this system, we can start by isolating y in each inequality:

y < 5 - 3x

y < 2x - 1

Now we can graph each inequality on the coordinate plane and shade the region that satisfies both inequalities.

For the first inequality y < 5 - 3x, we can start by graphing the line y = 5 - 3x. This line has a y-intercept of 5 and a slope of -3. Since the inequality is y < 5 - 3x, we need to shade the region below the line.

For the second inequality y < 2x - 1, we can start by graphing the line y = 2x - 1. This line has a y-intercept of -1 and a slope of 2. Since the inequality is 2x - y > 1, we need to shade the region below the line.

The solution to the system is the region that is shaded by both inequalities. Here is a graph of the solution:

   |         /

 5 |- - - -/---- - - - - - - -

   |     /  |             /

   |  /     |          /

 2 |- - - - -/------- - - - -

   | /      |        /

   |/       |     /

-1 | - - - - - - - - - - - - -

   0       1       2       3

To know more about inequality,

https://brainly.com/question/30239204

#SPJ1

Answer:

  15 Y (girls) in the room

Step-by-step explanation:

Given an initial ratio of boys : girls = 6 : 5 that becomes 1 : 1 when 3 boys leave the room, you want to know the number of girls in the room.

The initial difference in the number of ratio units is 6 -5 = 1. Removing 1 ratio unit from the "boys" side makes the ratio 5 : 5 = 1 : 1.

So, that 1 ratio unit corresponds to 3 boys. There are 5 ratio units of girls, so 3·5 = 15 girls.

There are 15 girls (Y) in the room.

__

Alternative solution

You could write an equation or two:

  b/g = 6/5 . . . . . . initial ratio of boys/girls

  (b-3)/g = 1/1 . . . . final ratio of boys/girls

Solving the first for b gives

  b = 6/5g

Using that in the second gives ...

  (6/5g -3) = g . . . . . . substitute for b, multiply by g

  1/5g = 3 . . . . . . . . add 3-g

  g = 15 . . . . . . . multiply by 5

Answer:$1,331

Step-by-step explanation: Add each pairs earnings then subtract and you'll get the answer.

The height of the building is approximately 102.86 meters.

Given that from a certain distance, the angle of elevation to the top of a building is 17 degrees. At a point 50 meters closer to the building, the angle of elevation is 31 degrees. To find the height of the building.In the given figure, AB is a building and C and D are two different points at a certain distance from the building. So that, angle BCA = 17° and angle BDA = 31°.We have to find the height of the building AB.

Now, let's find the distance between the building and point C and D. Let, BC = x50 meters closer to the building, so BD = x + 50 metersWe know, tangent of an angle = Perpendicular / BaseFor the angle 17°, we have to find AC, so;tan(17°) = AB / ACAB = AC tan(17°) ---(1)For the angle 31°, we have to find AD, so;tan(31°) = AB / ADAB = AD tan(31°) ---(2)Now, find the difference between (1) and (2).AC tan(17°) - AD tan(31°) = 0AC / AD = tan(31°) / tan(17°) [Divide both sides by AD tan(17°)]AC / (AD + 50) = tan(31°) / tan(17°) ----(3)We know the value of (AC + AD) is the actual distance between the building and the point.

So,(AC + AD) = x + (x + 50) = 2x + 50 metersNow we can use the value of AC / (AD + 50) in equation (3) and solve for AB.AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))Substitute the value of AB from equation (1), so;AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))AC = (2x + 50) tan(31°) / (tan(31°) - tan(17°))Now, let's use the value of AC in equation (1),AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°)) = 102.86 meters (approx.)So, the height of the building is AB = 102.86 meters (approx.)

Learn more about Approximately

brainly.com/question/30707441

#SPJ11

The translation rule for these circles is C): (x-1),(y+4), with a scale factor of 1/4. This means that when transforming Circle A to Circle B, each x-coordinate is decreased by 1 and each y-coordinate is increased by 4.

Circle is a two-dimensional shape with no sides or corners. Its defining feature is its curved line, which forms a continuous loop. The circle has no beginning or end, which symbolizes eternity, completeness and unity. Circles are often used in various designs, logos and artwork, as well as in mathematics, science, engineering and architecture.

The translation rule for these circles is C): (x-1),(y+4). We can calculate the scale factor by determining the difference between the coordinates of the two circles.

The coordinates of Circle A are (x,y). The coordinates of Circle B are (x-1, y+4). Therefore, the difference between the two is (1,4).

The scale factor is the ratio of the differences. Therefore, the scale factor is 1/4.

To know more about circle click-


Therefore, the translation rule for these circles is C): (x-1),(y+4), and the scale factor is 1/4.

In conclusion, the translation rule for these circles is C): (x-1),(y+4), with a scale factor of 1/4. This means that when transforming Circle A to Circle B, each x-coordinate is decreased by 1 and each y-coordinate is increased by 4.

To know more about circle click-
https://brainly.com/question/27961297
#SPJ1

Answer:  To get to 1, divide 116 by __116___. From 1, multiply by ___32___ to get to 32. OR, in a single step, multiply 116 by __.3___ to get to 32.

Step-by-step explanation:

Answer:

16/20 and 15/25

Step-by-step explanation:

The solution is:

3/9 and 5/15 are the following pairs consists of equivalent fractions.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

12/20 and 20/25

1st fraction Divide by 4 , 2nd fraction Divide by 5

3/4 ≠ 4/5

5/6 and 6/5

5/6 ≠ 6/5

6/12 and 3/4

1st fraction Divide by 3

2/4 ≠ 3/4

3/9 and 5/15

1st fraction Divide by 3 , 2nd fraction Divide by 5

1/3 = 1/3

So, pair 3/9 and 5/15 is equivalent fractions

Hence, The solution is:

3/9 and 5/15 are the following pairs consists of equivalent fractions.

To learn more on fraction click:

brainly.com/question/10354322

#SPJ2

complete question:

which of the following pairs consists of equivalent fractions. 12/20 snd 20/25, 5/6 and 6/5, 6/12 and 3/4, 3/9 and 5/15.​

The probability that a card drawn randomly from a standard deck of 52 cards is ed or a king = 7/13​

We know that the formula for the probability of an event is given by,

P = number of favourable outcomes / total number of possible outcomes of an event

Let us assume that event A : drawing a red card

and event B: drawing a king card

Here, sample space is a standard deck of 52 cards.

So, n(S) = 52

We know that there are 26 red cards in a standard deck of cards.

So, n(A) = 26

And there are 4 kings

So, n(B) = 4

Since there are two cards of king are red and two are black.

The favorable number of cards = 26+2

                                                 =28

So, the required probability is:

P = 28/52​

P = 7/13​

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

The independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$". The relationship is linear, with $ = 3s + 15.

A rate is a measure of the amount of change of one quantity with respect to another quantity, often expressed as a ratio or a fraction. It tells us how much one quantity changes per unit of time or per unit of another quantity. Examples of rates include speed, velocity, acceleration, interest rate, and growth rate

In the given table, the independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$".

The relationship between the number of snacks purchased and the total cost is a linear relationship, where the total cost increases by $3 for every additional snack purchased.

We can write the equation for the relationship between the two variables as:

$ = 3s + 15

Here, the constant term 15 represents the fixed cost or the cost of buying zero snacks. The coefficient 3 of the independent variable "s" represents the additional cost incurred for each additional snack purchased.

Therefore, The independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$". The relationship is linear, with $ = 3s + 15.

To know more about rate visit :

https://brainly.com/question/119866

#SPJ1

The water level is rising at a rate of 0.1 cm/min when the water is 50 cm deep

Let's begin by finding the volume of water in the trough when the water is 50 cm deep. We know that the trough has an isosceles trapezoid cross-section, so we can find the area of the cross-section using the formula for the area of a trapezoid

A = ((b1 + b2)/2) × h

where b1 and b2 are the lengths of the parallel sides of the trapezoid, and h is the height of the trapezoid.

In this case, b1 = 20 cm, b2 = 80 cm, and h = 60 cm. So the area of the cross-section is

A = ((20 + 80)/2) × 60

A = 3000 cm^2

To find the volume of water in the trough when the water is 50 cm deep, we need to multiply the cross-sectional area by the length of the trough and the depth of the water

V = A × L × d

V = 3000 cm^2 × 10 m × 0.5 m

V = 15000 L

Now that we know the volume of water in the trough, we can find how fast the water level is rising by taking the derivative of the volume with respect to time

dV/dt = 0.3 m^3/min

We need to convert this rate to units of L/min, so we can multiply by 1000 to convert m^3 to L

dV/dt = 0.3 m^3/min × 1000 L/m^3

dV/dt = 300 L/min

Finally, we can use the formula

dV/dt = A × dh/dt

to find how fast the water level is rising when the water is 50 cm deep. We know A = 3000 cm^2, and we want to find dh/dt when d = 50 cm. We can rearrange the formula to solve for dh/dt

dh/dt = dV/dt / A

dh/dt = 300 L/min / 3000 cm^2

dh/dt = 0.1 cm/min

Learn more about volume here

brainly.com/question/26919547

#SPJ4

The given question is incomplete, the complete question is:

A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 80 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.3 m3/min how fast is the water level rising when the water is 50 cm deep?

Part A: annual gross salary =  $51,200. Part B:  income tax= $46,080

Part C: annual income, after tax reduction =  $46,080.

Part D: fortnightly net income  $126.24 per day.

Before taxes, benefits, and other wage garnishments are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given data:

Earning from shop clerk - $50,000 per year.

Earning from gardening - $1,200 per year.

Part A: annual gross salary.

annual gross salary =  $50,000 +  $1,200

annual gross salary =  $51,200

Part B:  income tax.

income tax = 10% of gross income

income tax = 0.10 * 51,200

income tax = $5,120

Part C: annual income, after tax reduction:

Net income = Gross income - tax

Net income = 51,200 - 5,120

Net income = $46,080

Part D: fortnightly net income:

fortnightly net income = Total net income / 365 days

fortnightly net income = $46,080 / 365

fortnightly net income = $126.24 per day.

Know more about the annual gross salary.

https://brainly.com/question/3034676

#SPJ1

Complete question:

Carlos earns $50 000 each year as a shop clerk and an extra $1200 each year for gardening on the weekend. Tax applied is 10% on gross income.

A, calculate his annual gross salary

B, use his gross salary to find his income tax

C, what is his annual income, after tax

D what is his fortnightly net income, to the nearest cent after tax?

Answers:

s = 31

t = 62

u = 17

w = 31

================================================

Explanation:

Inscribed angles w and s subtend the same arc that the inscribed angle 31 degrees is doing. Therefore, angle w = angle s = 31 degrees.

Inscribed angles that subtend the same arc will be equal in measure.

Similarly, the 17 degree angle and angle u both subtend the same arc. This must mean angle u = 17 degrees.

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

Use the inscribed angle theorem to determine the central angle t

angle t = 2*(inscribed angle w)

angle t = 2*(31)

angle t = 62 degrees

please make me brainalist and keep smiling dude I hope you will be satisfied with my answer <3 :-)

Assumed Mean can be calculated using the formula a + (Σfidi /Σfi). Here, a denotes the assumed mean, fi is the frequency of the ith class, di is the deviation of the ith class, Σfi refers to the total number of observations and xi is the class mark.

The arithmetic mean of the grouped data is called the assumed mean

Answer:

uze=nkw

Step-by-step explanation:

U has no stroke which follows N

Z has a stroke which follows K

E has two strokes which follows W

In the mode values calculated from his data set will not change if he scores 18 points in his next game .

What in math is median?

When a data set's median value is used, 50% of the data points in the collection have values that are lower or equal to the median and 50% of them have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

12,15,18,20,5.

In ascending order = 5,12,15,18,20

A) Mean = 5 + 12 + 15 + 18 + 20/5

                = 14

B) Median = 15

c) mode = no number is repeating

d) the range =  20 - 5  = 15

Learn more about median

brainly.com/question/28060453

#SPJ1

Therefore option b is the right option: After translated it in 6units: we get

A'(-2, 1), B'(-6, 1), C'(-10, 5)

The picture's coordinates are:

A’(-2+6, 1) = (-4, 1)

B’(6+6, 1) = (12, 1)

C’(2+6, 5) = (8, 5)

Define coordinates of a triangle?

A location on the plane that is defined by an ordered pair of numbers is called a coordinate in a triangle (x,y). The y-coordinate and x-coordinate of a point indicate its vertical and horizontal positions, respectively.

Triangles can be described using a variety of coordinate systems in the Euclidean plane. Triangular coordinates is a name for one of these systems. It is a particular instance of barycentric coordinates for a triangle, and in that case it is sometimes referred to as a ternary plot or as areal coordinates

A barycentric coordinate system in geometry is a coordinate system where a point's location is determined by reference to a simplex (a triangle for points in a plane, a tetrahedron for points in three-dimensional space, etc.) . A point's barycentric coordinates can be thought of as the center of mass (or barycenter) of masses that are positioned at the vertices of a simplex. These masses can all be positive or negative, but only if the point is contained within the simplex.

Many branches of mathematics and physics, such as computer graphics, finite element analysis, and fluid dynamics, make use of barycentric coordinates.

To know more about coordinates of triangle visit:

brainly.com/question/30926561

#SPJ1

The equation for the graph will be y = 10x.

Let x be the number of T-shirts sold and y be the profit in dollars. Then, we can write the equation as:

y = (50/5)x

Simplifying the equation, we get:

y = 10x

To graph this linear equation, we can plot several points on the coordinate plane. For example, we need to plot points where x=0, y=0, x=1, y=10, x=2, y=20, and so on. We can then connect the points with a straight line to graph the equation. Check the attached document for clue.

The above answer is based on the question;

The profit for selling T-shirt at the school store is $50 for every 5 shirt. Write an equation and graph the relationship.

Find more exercises on linear equations;

https://brainly.com/question/29739212

#SPJ1

The hypotenuse is √[(√2)² + (√3)²] = √(2+3) = √5 units.

The Iongest side of a right-angIed triangIe, or the side opposite the right angIe, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the Iength of the hypotenuse equaIs the sum of the squares of the Iengths of the other two sides, can be used to determine the Iength of the hypotenuse.

The Iength of the Iegs are 1 unit, √2 units.

The hypotenuse is √[(1)² + (√2)²] = √(1+2) = √3 units.

The Iength of the Iegs are √5 units, √2 units.

The hypotenuse is √[(√5)² + (√2)²] = √(5+2) = √7 units.

The Iength of the Iegs are √5 units, √3 units.

The hypotenuse is √[(√5)² + (√3)²] = √(5+3) = √8 units.

The Iength of the Iegs are √5 units, 1 unit.

The hypotenuse is √[(√5)² + (1)²] = √(5+1) = √6 units.

The Iength of the Iegs are √2 units, √3 units.

The hypotenuse is √[(√2)² + (√3)²] = √(2+3) = √5 units.

To learn more about triangle,

https://brainly.com/question/9916775

#SPJ9

Answer is 17, 60, -8, 4.25 in the given BODMAS

Brackets of Division, Multiplication, Addition, and Subtraction, or BODMAS, is an acronym. It is a method for resolving mathematical issues.

Brackets are resolved first in accordance with the BODMAS guidelines. Parentheses are also solved first in that case, then curly brackets, and finally square brackets.

It always produces the right outcomes when applied correctly. Uncertain questions that are poorly phrased may result in inaccurate answers.

Let's utilise BODMAS to answer a question:

W= 85 / 5

W = 17

W= 85 - 25

W = 60

W = 85/ 5- 25

W = -8

W= 85/ 25 - 5

W = 85/20

W = 4.25

To know more about BODMAS, click the below link

https://brainly.com/question/29626866

#SPJ4

From greatest comparative advantage to least comparative advantage the list of toothpaste is Mint, Fresh, Sparkling, Bright White

To determine the comparative advantage of toothpaste companies in producing small tubes of toothpaste, we need to look at the opportunity cost of producing small tubes of toothpaste in terms of the production of large tubes of toothpaste. The company with the lowest opportunity cost of producing small tubes of toothpaste (i.e., the company that gives up the least amount of large tubes of toothpaste to produce small tubes of toothpaste) has the greatest comparative advantage in producing small tubes of toothpaste. We can calculate the opportunity cost by looking at the difference in the number of large tubes of toothpaste that each company could produce if they chose to produce only large tubes versus the number of large tubes they could produce if they chose to produce some small tubes as well.

So, using the data provided in the table, we can calculate the opportunity cost for each company as follows:

Sparkling:

Opportunity cost of producing small tubes of toothpaste = (200 large tubes/hour - 100 large tubes/hour) / 200 small tubes/hour = 0.5 large tubes per small tube

Bright White:

Opportunity cost of producing small tubes of toothpaste = (250 large tubes/hour - 100 large tubes/hour) / 250 small tubes/hour = 0.6 large tubes per small tube

Fresh:

Opportunity cost of producing small tubes of toothpaste = (250 large tubes/hour - 200 large tubes/hour) / 250 small tubes/hour = 0.2 large tubes per small tube

Mint:

Opportunity cost of producing small tubes of toothpaste = (150 large tubes/hour - 150 large tubes/hour) / 150 small tubes/hour = 0 large tubes per small tube

Therefore, the order of the companies from greatest comparative advantage to least comparative advantage in producing small tubes of toothpaste is: Mint, Fresh, Sparkling, Bright White

To learn more about greatest comparative advantage click here

brainly.com/question/31115832

#SPJ4

Complete question

Toothpaste company   |Large tubes                |Small tubes      

Sparkling                       |100 per hour                 |200 per hour

Bright White                  |100 per hour                | 250 per hour

Fresh                            |200 per hour                 |250 per hour

Mint                              |150 per hour                 |150 per hour

'This table shows the production possibility schedule for several toothpaste companies. Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing small tubes of toothpaste.

Answer:

13 cm

Step-by-step explanation:

c = Circumference=pid= 81.64 To find the radius of a circle you can just divide the diameter by 2.pi = 3.14d = diameter=c/3.14 Pi is always 3.14 or 22/7.d = 81.64/3.14d = 26r= radius= 26/2radius=13 cm

Answer: 13 inches

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

2/5 of 240

2×240= 480

480÷5= 96

Answer: 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

24/6

= 4

Answer:

you didnt post a pic to show us the options

Step-by-step explanation:

didnt show the options so we cant help