which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) lance gains 1 level each time he plays his favorite video game. he started at level 10. (2 points) f(x) g(x) h(x) the functions all have the same slope

Answers

Answer 1

According to the question, the points are [tex](-3,-10)[/tex] and [tex](-1,-7)[/tex] for the function [tex]f(x).[/tex]

The calculated slope for these values are as follows:

[tex]m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(-7-(-10))}{(-1-(-3))} = \frac{3}{2} = 1.5[/tex]

The slope for the function [tex]f(x)[/tex] is: [tex]m=1.5[/tex]

Now, the function [tex]g(x)=\frac{1}{2} x+3[/tex]

Using the standard formula that is [tex]y = mx+c[/tex] to calculate the slope for the function [tex]g(x).[/tex]

Slope(m) for [tex]g(x) = \frac{1}{2} = 0.5[/tex]

As per the question, lance gains [tex]1[/tex] level each time he plays the video game.

Therefore, [tex]slope = \frac{1}{1} =1[/tex]

Hence, the slope for the function [tex]h(x)[/tex] is [tex]1[/tex].

Therefore, the function [tex]f(x)[/tex] has the largest slope and it is [tex]1.5.[/tex]

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

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Related Questions

the sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term

Answers

Answer:

A=10. D=_3

Step-by-step explanation:

Start from 10 and make minus 3 every time

Simplify this expression-
-6(2 + x)

Answers

-12 - 6x is the answer :)

Answer:

-12 -6x

Step-by-step explanation:

I did this by distributing

-6 x 2 = -12

-6 x x= -6x

-12 -6x is your final answer

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

the mathcounts international airport had 738,114 departures in 2001. if these were distributed uniformly throughout each 24-hour period, what is the mean number of seconds between each departure time? express your answer to the nearest whole number.

Answers

The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

For given question,

In 2001 there were 738,114 departures.

As we can see, 2001 was not a leap year.

So, the number of days in 2001 = 365

We find the number of departures per day in 2001.

738,114 / 365 = 2,022.23

So, approximately 2,022 departures per day.

Now we find the number of departures in an hour.

2,022 / 24 = 84.25

This means, approximately 84 departures per hour

We know that, 1 hour = 3,600 seconds

Now we find the mean number of seconds between departure time.

3,600 / 84 = 42.8

                  ≈ 43 seconds

Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

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Find X
3x + 16
5x-10

Answers

X = 13
3x + 16 = 5x - 10
Take the 3x and change the symbol making it -3x and subtract them on both sides, which would be under 3x and 5x giving you
16 = 2x - 10
Take the negative 10 and change the symbol which would be positive 10 and subtract them in both sides giving you
26 = 2x divide both sides by 2 which gives ur answer of 13 = x. You can also check to see if the answer is right by replacing x on the problems with 13

David requires at least $250 to hold his birthday party. If David can save $43 by the end of each month, how many months will he need to save to be able to afford his birthday party?



a. Write an inequality that describes this situation.

b. Solve the inequality. Show all your work.

c. Write your answer in a complete sentence.

Answers

Answer: 250/43

Step-by-step explanation

Answer:

he would need seven weeks, i believe.

9.66 x 0.46 estimated

Answers

Answer:

10

Step-by-step explanation:

so just round to the ones below or above 5

Cara's bi-weekly gross pay is $735.18. She sees that $13.97 was deducted for Medicare tax. What percent of Cara's
gross pay has been withheld for Medicare tax? Round to the nearest tenth.
a. 0.19%
b. 1.9%
c. 2.1%
d. 3.5%

Answers

Answer:

b

Step-by-step explanation:

To find the percent of Cara's gross pay, divide what was deducted for Medicare tax by what her bi-weekly gross pay is.

So,

13.97 ÷ 735.18 = 0.019

Which means 1.9%

3x+5x-4y+9 pls help bro

Answers

8x-4y+9 is how you put it in standard form. Im not sure if you want me to solve for x or y?

Solution: 8x-4y+9

Step-by-step explanation:

Combine like terms

3x + 5x - 4y + 9

8x - 4y + 9

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.

x-intercept(s): (−9/8,0)

y-intercept(s): (0,9/4)

What happens to you at the red circle on the graph?

Answers

the red point represents the moment when you return to your house, 8 time units after you originally left.

What happens to you at the red circle on the graph?

Let's assume that the graph represents the distance to your home as a function of time. (The x-axis represents time in time units and the y-axis represents the distance in distance units)

Then you can see how in the first 3 units of time you travel a certain distance from your home.

Then for the 3 next time units your position does not change, so you are in a fixed place.

In the next 3 time units you return to your house, here we reached the red point, which represents the moment when you return to your house, 8 time units after you originally left.

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A store bought jeans at a cost of $40 a pair. Select all the statements that are true.

Answers

The true statements are,

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

What is the Cost price?

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.

Given that:-

A Store bought jeans at a cost of $40 a pair.

If the price is marked up 25%, the selling price will be $50

⇒ 40 x 25 / 100 = 10

Selling Price = $50

Hence, This is true statement.

And, If the selling price is $70, the price is marked up 75%.

P = 70 - 40 = $30

40 x 75  / 100 = $30

Hence, This statement is true.

Therefore, the true statements are;

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

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The complete question is this,

A store bought jeans at a cost of $40 a pair. Select all the statements that are true.

A. If the price is marked up 20%, the selling price will be $60.

B. If the price is marked up 25%, the selling price will be $50.

C. If the selling price is $65, the price is marked up 50%.

D. If the selling price is $70, the price is marked up 75%.

3x + 8 = -10 I don’t know what this is and I need to solve it fast

Answers

Answer:

x = -6

Step-by-step explanation:

3x + 8 = -10

3x = -10-8

3x=-18

divide both sides by the coefficient of x which is 3

3x/3 = -18/3

x = -6.

At the ice cream shop there are 14 shakes so for every six months record the ratio is below.whats malts to total?

Answers

the ratio is 6:14 which ultimately reduces to 3:7

hope this helps!

Mary, Tonya, Imani, and Luz were each painting identical-sized rooms. No one was able to finish in 1 day. The table shows the fraction of each room the girls painted.
Amount Painted
Which girl painted the most?

Answers

Imani painted the wall most

In mathematics, numbers can be classified into different types i.e. real numbers, natural numbers, integers, rational numbers, etc. This includes decimals. t is a standard form  representing integers and non-integers.

In algebra, a decimal is one type of number in which the whole and fractional parts are  separated by a decimal point. The point between the integer and the fractional part is called the decimal point. For example, 34.5 is a decimal number.

Decimal Numbers may be of different types, Recurring Decimal Numbers Non-Recurring Decimal Numbers Decimal Fraction

Mary painted 3/4 of the wall

3/4 = 0.75

Tonya painted 5/4 of the wall

5/7 = 0.71

Imani painted 11/13 of the wall

11/13 = 0.84

Luz painted 11/17 of the wall

11/17 = 0.64

Imani painted the wall most

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Without computing, determine which
number is greater, [(-4)415 or -[(4¹2)³].
Explain your reasoning.

Answers

Since a negative number's exponent is always positive, [(-4)⁴]⁵ will always be greater than -[(4¹²)³].

What is number system?

The Number System covers any of the several sets of symbols and usage guidelines for indicating numbers, which are used to indicate how many items are present in a particular group. Thus, the Roman numeral I, the Greek letter alpha, the first letter used as a numeral, the Hebrew letter aleph, or the modern number 1, which is nothing more than Hindu-Arabic in origin, can all be used to express the idea of "oneness."

A mathematical representation of the numbers in a given set is called a number system.

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PLEASE HELP!!!

We want to find the median of the following set of scores:

26, 9, 15, 5, 5, 27, 23, 12

Answers

Answer: 13.5

Step-by-step explanation:

First arrange the scores in order:

5, 5, 9, 12, 15, 23, 26, 27

**remove 1st and last number in the set of scores every time**

Median of 5, 5, 9, 12, 15, 23, 26, 27=

Median of 5, 9, 12, 15, 23, 26=

Median of 9, 12, 15, 23=

Median of 12, 15 =

**Take mean of remaining two numbers**

(12+15)/2=

27/2=13.5

12. Classify the statement below as a descriptive or inferential statistic and explain why.
Because of the SG distance learners, Robin expects to serve 12% less meals this year than last year.

Answers

The given statement is a descriptive statistic.

What is descriptive statistics?Descriptive statistics are relatively short informational coefficients that summarize a given data set, which can be a representation of the entire population or a sample of a population. Descriptive statistics are divided into measurements of central tendency and measures of variability (spread). Descriptive statistics are used to describe or summarize the data in meaningful and useful ways. It would be useful to know, for example, that each of the participants in with us example wore blue shoes. Even so, it'd be useful to know how evenly distributed their anxiety ratings were.

So, the statement "Robin expects to serve 12% fewer meals this year than last year" is a descriptive statistic.

Therefore, the given statement is a descriptive statistic.

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measure the length of a ordinary sheet of 8x11 paper in metric units (if you do not have a metric measuring device, you can measure in us units and use a free online conversion tool to change to metric units). what is the area of the sheet of paper in correct metric units?

Answers

The area of the sheet of paper in correct metric units is 602.6c[tex]m^{2}[/tex].

What is an area?

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina. Area can be thought of as the volume of material, at a particular thickness, required to create a model of the shape, or as the volume of paint required to paint the surface in a single coat. It is equivalent to the volume of a solid or the length of a curve in two dimensions (a three-dimensional concept).

Calculations:

The length of a 8 X 11 paper in metric unit is 27.9 cm and width of 8 X 11 paper in metric unit is 21.6 cm.

Area of sheet of paper=length*width

               =27.9*21.6

               =602.6 c[tex]m^{2}[/tex]

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7.
If twenty-one more than a fifth of a number is equal to two times the quantity of
three less than that number, what is the number?

Answers

Answer:

The number is 15.

Step-by-step explanation:

Let n be the number.

[tex] \frac{1}{5} n + 21 = 2(n - 3)[/tex]

[tex]n + 105 = 10(n - 3)[/tex]

[tex]n + 105 = 10n - 30[/tex]

[tex]9n = 135[/tex]

[tex]n = 15[/tex]

Suppose that people check their coats in a checkroom. if all claim checks are lost and the coats are randomly returned, what is the probability that all the people will get their own coats back?

Answers

The probability that all the people will get their own coats back is 1/7.

What is probability?

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.

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State which metric unit you would probably use to measure item.
Mass of a beach ball

Answers

The basic unit of mass of the ball in the metric system is the gram.

What is mass?

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Lawana is making cone-shaped hats 4 inches in diameter, 6.5 inches tall, with a slant height of 6.8 inches for party favors. Find each measure to the nearest tenth.

a. the volume of candy that will fill each cone

Answers

Given hats are forming a conical shape and the volume of the cone will be 27.28 inches³.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Given that,

4 inches in diameter, 6.5 inches tall, slant height of 6.8 inches

So,

D = 4 inches

Now radius r = D/2

r = 4/2 = 2 inches.

Height h = 6.5 inches.

The volume of the conical bar is given as ;

(1/3)πr²h

So,

Volume = (1/3)π(2)²6.5

Volume = 27.28 inches³

Hence "The volume of the given conical-shaped hat will be 27.28 inches³".

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The sum of three consecutive even integers is 48. Find the value of the middle of the
three.

Answers

Answer:

  16

Step-by-step explanation:

You want the middle of three consecutive even integers that have a sum of 48.

Consecutive even integers

We can let x represent the middle of the three integers. Then the other two are (x -2) and (x +2), and their sum is ...

  (x -2) +x +(x +2) = 48

  3x = 48  . . . . . simplify

  x = 16 . . . . . . divide by 3

The middle integer of the three is 16.

__

Additional comment

As we see here, the average of the three integers is their sum divided by their number: 48/3 = 16. The middle of an odd number of consecutive integers will be equal to their average value. Hence, the middle integer must be 16.

a rectangular persian carpet has a perimeter of 232 inches. the length of the carpet is 30 inches more than the width. what are the dimensions of the carpet?

Answers

The dimensions of the carpet are 73 x 43. = 3139.

What is dimension explained?

In mathematics, a dimension is a way to quantify the size or separation of an area, an object, or a space inside one direction. In simpler terms, It is just the measurements of an object's length, width, and height.

What is a geometric figure?

Geometric figures can be created using any configuration of points, lines, or planes. Depending on their dimensions, geometric figures can be categorized as either a space figure, a surface figure, a line, another line segment, a ray, or a point.

According to the given data:

The perimeter of the carpets = is 232.

The length of the carpet = 30 in.

In a rectangle, the edge is P = 2W + 2L

In this case 232 = 2W + 2L

Also, the 2nd sentence says L = W + 30

This length variable can be changed in the perimeter formula:

232 = 2W + 2(W+30)

232 = 2W + 2W + 60

232 = 4W + 60

172 = 4W

43 = W

Then, since L = W+30

L = 43+30 = 73

So the dimensions of the carpet are 73 x 43. = 3139.

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Isabel's car gets 33.5 miles per gallon. Her gas tank
holds 15.25 gallons of gas. How many miles can Isabel
drive on a full tank of gas?
A 48.75 miles
B 487.5 miles
C 510.875 miles
D 5,108.75 miles
John chose D as the correct answer. How did he get
that answer?

Answers

Isabel can drive  510.875 miles with a gas tank that holds 15.1 gallons of gas.

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find the Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.25 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 × x = 15.25 × 33.5

x = 510.875

Thus, Isabel can drive 510.875 miles on a full tank of gas

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a restaurant offers three desserts, and exactly twice as many appetizers as main courses. a dinner consists of an appetizer, a main course, and a dessert. what is the least number of main courses that the restaurant should offer so that a customer could have a different dinner each night in the year 2003? (a) 4 (b) 5 (c) 6 (d) 7 (e) 8

Answers

8 is the least number of main courses that the restaurant should offer so that a customer could have a different dinner each night in the year 2003.

What are Integers in Math?

An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043

Let m be the number of main courses the restaurant serves, so 2m is the number of appetizers.

Then the number of dinner combinations is 2m *  m * 3=6m².

Since the customer wants to eat a different dinner in all $365$ days of 2003, we must have

                     6m² ≥ 365

                     m²   ≥   60.83

Also, year 2003 is not a leap year, because 2003 divided by 4 does not equal an integer. The smallest integer value that satisfies this is E = 8.

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a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar. would you play this game or not and why?

Answers

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

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Rewrite 120 + 400 using the GCF and factoring.

12(10 + 40)
20(10 + 2)
40(3 + 400)
40(3 + 10)

Pls help asap

Answers

Answer is 40(3+10). This would be the answer because 40 is the GCF of 120 and 400. Also, 40•3=120 and 40•10=400. So that would be your answer, hope that helps!

Answer =40(3+10)

GH has a midpoint at M(3, 6). Point G is at (2, 6). Find the coordinates of point H.
Write the coordinates as decimals or integers.

Answers

Thus coordiante of point H is(4,6)

The Midpoint Formula: The midpoint of two points,

(x1,y1) and (x2,y2) is the point

M=(x1+x2)/2 and (y1+y2)/2

(2+x2)/2=3

(6+y2)/2=6

solving above equation

x2=4

y2=6

Thus coordiante of point H is(4,6)

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Rich is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $7,900 at 4.29%. He knows he has the option of beginning repayment of the loan in 4.5 years. He also knows that during this non-payment time, interest will accrue at 4.29%.
How much interest will Rich accrue during the 4.5-year non-payment period?

Answers

Rich has to pay an interest of $1525.10  during the 4.5 year non payment period.

In the question

it is given that the Amount of loan taken by Rich = $7900

non payment time period = 4.5years

Interest charged during the non payment time = 4.29%

Interest charge for the first year = 4.29% of 7900

= 0.0429 * 7900                       ...(as 4.29% = 0.0429)

= 338.91

So , the interest charge for first non payment year = $338.91

to find the interest for 4.5 years , multiply the first year interest by 4.5.

So the interest charge for 4.5 years = 4.5*338.91

=1525.095

≅1525.10

Therefore , Rich has to pay an interest of $1525.10  during the 4.5 year non payment period.

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suppose that a function f has domain (-2,2) and range (-3,5). what is the domain of the function f(2x)?

Answers

The value of the domain for f(2x) is 2 * 4 to 2 * 18 or 8 to 36.

What is domain?

The set of inputs that a function will accept is referred to as the domain of the function in mathematics. It is sometimes represented by the symbol dom(f), where f is the function.

The function f can be graphed in the Cartesian coordinate system in the specific case where X and Y are both subsets of R. In this instance, the graph's x-axis shows the domain as a projection of the function's graph there. It is a partial function in this instance, and the set of real numbers on which the formula may be evaluated to a real number is known as the natural domain or domain of definition of f.

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