the graph of the derivative of a function f crosses the x-axis 3 times. what does this tell you about the graph of f

Answers

Answer 1

Answer:

  the graph of f has 3 turning points

Step-by-step explanation:

The graph of a function has a turning point (local extreme) where the derivative is zero and changes sign.

Derivative

The derivative of a function tells you the slope of that function's graph. When the derivative is positive, the function is increasing. When the derivative is negative, the function is decreasing.

Turning Point

Where the derivative changes sign from positive to negative, the graph of the function changes direction from increasing to decreasing. At the point where the derivative is zero (between positive and negative), the graph is neither increasing nor decreasing. A tangent to the function at that point is a horizontal line, and the function itself is at a local maximum, a turning point.

The reverse is also true. When the derivative changes sign from negative to positive, the function changes from decreasing to increasing. The turning point where that occurs is a local minimum.

3 Crossings

If the derivative crosses the x-axis (changes sign) 3 times, then there are three local extremes in the graph of f. The graph of f has 3 turning points.

__

Additional comment

In the attached graph, we have constructed a derivative function (red) that crosses the x-axis 3 times. It is the derivative of f(x), which is shown in blue. The purpose is to show the local extremes of f(x) match the zero crossings of the derivative.

The Graph Of The Derivative Of A Function F Crosses The X-axis 3 Times. What Does This Tell You About

Related Questions

1. Calculate the covariance between profits and market capitalization and what does the covariance indicate about the relationship between profits and market capitalization? (positive or negative).

Answers

If both variables tend to deviate in the same direction (both go above their means or below their means at the same time), then the covariance will be positive.

What Is Covariance?

The direction of the link between the returns on two assets is measured by covariance. Asset returns move together when the covariance is positive, and inversely when the covariance is negative.

It is calculated by analyzing at-return surprises (standard deviations from the expected return) or multiplying the correlation between the two random variables by the standard deviation of each variable.

Types of Covariance:-

This link is determined by a covariance value, either positive or negative.

When two variables have a positive covariance, it means that they frequently tend to be higher or lower together.When the estimated covariance is less than zero, it means that there is an inverse link between the two variables.

Covariance Calculated:-

Covariance = Σ[tex][ ( Return_{abc} - Average_{abc} ) * ( Return_{abc} - Average_{abc} ) ][/tex]÷ [ Sample Size - 1 ].

Therefore, the both variables tend to deviate in the same direction, then the covariance will be positive.

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How to calculate division?

Answers

A division is to separate into two or more equal parts, areas, classes, categories, groups, or divisions.

In another word, the meaning of divide is to distribute the whole thing to a group in equal parts or make equal parts. The symbol used to represent divide or division is ÷, slash (/), or a horizontal line ( _ ).

There are four important terms used in the division operation:

dividend, divisor, quotient, and remainder.

The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

Here,

The dividend is the number, which is divided

The divisor is the number, which divides the number into equal parts

The quotient is the result of the division operation

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somebody help pls

[tex]help \: pls[/tex]

Answers

Answer:

As it is a right angle triangle, you can find a by Pythagoras Theorem.

[tex] {a}^{2} + {51}^{2} = {60}^{2} \\ a = \sqrt{( {60}^{2} - {51}^{2} )} \\ a = 31.63 \: yd[/tex]

Review the scatter plot.

Select the equation which best represents the linear model, the line of best fit.

Responses

y=2x

y=2x +2

y=2x+4

y=2x+6

Answers

So, on solving the provided question, we can say that the equations will be y=2x; y=2x +2; y=2x+4; y=2x+6

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equations will be

y=2x

y=2x +2

y=2x+4

y=2x+6

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The correct question is

Review the scatter plot.

Select the equation which best represents the linear model, the line of best fit. Responses

y=2x

y=2x +2

y=2x+4

y=2x+6

A green box contains a blue box and a pink box. the blue box contains 2 h subscript 2 o. an arrow then leads in the green box to the pink box, which says 2 h subscript 2 o subscript 2. lines lead from labels to parts of the boxes. label a leads to the beginning of the green box. label b leads to the blue box. label c leads to the arrow. label d leads to the end of the pink box. identify each part of this chemical equation, which describes the breakdown of water into hydrogen and oxygen. a (the entire green box): b (the blue box): c (the arrow): d (the purple box):

Answers

The  breakdown is as follows:

A: The entire green box represents the overall chemical equation.

B: The blue box represents the reactant, which is 2H2O (water)

C: The arrow represents the chemical reaction or the process of breaking down the reactant into the products.

D: The pink box represents the products, which are 2H2 (hydrogen) and O2 (oxygen)

So the chemical equation is 2 H2O --> 2 H2 + O2

The entire green box represents the chemical equation, the blue box represents the reactant (water) and the pink box represents the products (hydrogen and oxygen) and the arrow represents the chemical reaction.

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Alonzo split 3/4 pounds of candy among 4 people. What is the unit rate in pounds per person? Write your answer in simplest form.


(10 points, brainliest, thanks and 5 if correct! IF! also it is due today)

Answers

When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

What is unit rate?

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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The diagram below represents a field PQRSTU with a circular pond of diameter 14 56m Find the following: distance round the field; area of the field excluding the pond. {take π= 22/7}​

Answers

Therefore , the solution to the given problem of circle comes out to be  

572 yard^2.

What is a circle?

Each point in the plane that is a certain distance from some other point forms a circle (center). Thus, it is an curve composed of spots that are spaced apart from one another in the plane. Additionally, at every angle, it is axis of rotation symmetric about the center. The closed, two-dimensional plane of a circle has every pair of points uniformly separated from the "center." With tracing a path through the circle, one can create a line of circular symmetry. Additionally, at every angle, it is radially symmetric about the center.

Here,

area=pi times

radius2 area=3.14 times 13.52

=>3.14 times diameter=2radius dameter/2

=>radius d=27 27/2=radius.

The answer, 182.25=572.265,

Area is 572 yards.

Therefore , the solution to the given problem of circle comes out to be  

572 yard^2.

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homeroom 101 and homeroom 102 share a hallway bulletin board. if homeroom 101 uses 3/5 of their half to display artwork, what fraction of the bulletin board is used to display homeroom 101 artwork

Answers

Answer:

3/10

Step-by-step explanation:

If homeroom 101 has 1/2 of the bulletin board, and 3/5 of their side is used.

To calculate the area that is using we multiply both values,

1/2 x 3/5 = 3/10

Which is our answer!

I NEED HELP WITH 4 ,5, 6 and 7 PLEASE ???

Answers

The Wien Apetrol UC 20142000 was a unique and innovative venture that aimed to provide clean energy solutions to the people of Austria.

Solve for x ?

x = -7

ma = 54

m23 = 54

The project was a collaboration between the Austrian government, private companies, and research institutions.It focused on developing and implementing renewable energy sources such as solar, wind, and hydropower, as well as energy storage systems. The project showcased the potential of renewable energy sources to provide a sustainable and affordable energy solution to citizens.It also promoted the use of energy efficiency measures to reduce energy consumption and costs. The project was a success, and it achieved its goal of providing reliable and affordable energy to the people of Austria.The project has been cited as a model for renewable energy projects around the world and has served as an example of how collaboration between different sectors can be successful.

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What is the triangle formed by edges with length 24/7 25?

Answers

The triangle is a perfect right angle triangle  since it satisfies the Pythagoras theorem .

What is right Angled Triangle ?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. Here, the hypotenuse is BC, the height is AC, and the base is AB. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.

By using pythagoras theorem

[tex]\sqrt{24\x^{2} + 7\x^{2} } = 25[/tex]

The triangle si a perfect right angle triangle  since it satisfies the Pythagoras theorem .

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Circle A has circumference 2/2/3 m.Circle B has a diameter that is 1/1/2 times as long as Circle A's diameter.What is the circumference of circle B

Answers

The circumference of circle B is 14 m

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: The circumference of circle A as 2²/₃ m and circumference of circle B as 1¹/2 times the diameter of circle A

let the radius of the circle A be r then we have

2πr=8/3

r=4/3×7/22

r=14/33 m

or diameter of the circle A= 28/33

Again let the circumference of the circle be x then we have

x=28/3 ×3/2

x=14

Hence, The circumference of circle B is 14 m

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From the set {4, 8, 10}, use substitution to determine which value of x makes the equation true.

Answers

To use substitution to determine which value of x makes the equation true, we must first have an equation to substitute the values from the set {4, 8, 10} into.

If we don't have an equation, we can't use substitution.

It would be helpful if you could provide an equation to solve with the set {4, 8, 10}

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447 gram setting. Based on a 24 bag sample where the mean is 444 grams and the standard deviation is 10, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.
Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

Answers

The decision rule for is to reject null if critical value is higher than the test statistic, since there is insufficient evidence to show that the machines are underfilling the bag.

How to carry out the hypothesis test

First we have to solve for the test statistic

t = x - u / s /√n

the variables are stated as:

where x = 444

u = 447

n = 24

s = 10

we would have the test statistic solved as :

444 - 447 / 10 / √24

-3 / 2.0412

= -1.4697

at 0.1 significance level, we would have:

degree of freedom

n - 1

= 24 - 1 = 23

the critical value is -1.3194.

Because the critical value is  greater than the test statistic, we are going  to  reject the null.

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I need help wit my math

Answers

A
____
M = 10
5x10 = 50

How do you test for horizontal?

Answers

The horizontal line test is a procedure that can be used to determine if a function is a one-to-one function. This means that, for every y-value in the function, there is only one distinctive x-value.

The purpose of the horizontal line test is to decide whether or not a given function is one-to-one considering its graph. A function from one set to another is a relation between the two sets in which each element of the first set is assigned to a single element in the second.  In other words, a function f is one-to-one

                           [tex]f(x_{1}) = f(x_{2})[/tex]  ⇒ [tex]x_{1} = x_{2}[/tex]

for every [tex]x_{1} , x_{2}[/tex] n the domain of f.

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Mia pend 1/4 of her money on a ticket, he ha 30 pound left. How much wa the ticket ?

Answers

Mia spend 1/4 of her money on a ticket, he has 30 pound left. Therefore the ticket was 120 pound.

Pound:

The sterling  is the currency of the United Kingdom and nine associated territories. The pound (symbol: £) is the primary unit of sterling, and the word "pound" is also commonly used to refer to British currency, and in international contexts is often British It is called pound or pound sterling.

The sterling is the world's oldest currency still in use and has been in continuous use since its creation. It is currently the fourth most traded currency in the foreign exchange market, after the US dollar, the euro and the Japanese yen. Together, these three currencies and the renminbi form a basket of currencies for calculating the value of the IMF's Special Drawing Rights. As of late 2022, the pound is the world's reserve currency and he is also the fourth most held reserve currency.

According to the question:

Since, 1/4 of her money is spent on the tickets.

Then , there left 3/4 part of money.

Therefore,

So she spent a total of 1/4 of her money in the tickets, and therefore had 3/4 of her money left at the end. So 3/4 of the money she started with is 30 pound.

Therefore she started with 30 * 4 = 120 pound.

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A horizontal parabola centered on the origin opens to the left and has a directrix at x = 2. The focal width is 8. The vertex of the parabola is at [ Select ]. The focus of the parabola is at [ Select ] . The axis of symmetry of the parabola is [ Select ] .

Answers

The vertex of the parabola is at (0, 0), the focus of parabola is at (2, 0) and axis of symmetry of parabola is x-axis.

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

One definition of a parabola includes a line and a point (the focus) (the directrix). The directrix is not the main focus. The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

Given a horizontal parabola centered on the origin opens to the left,

the equation for a horizontal parabola,

(y − b)² = 4p(x − a), p≠0

a and b are the vertex of parabola,

since the parabola is centered on the origin, a and  b are (0, 0)

vertex of parabola is at (0, 0),

and for horizontal parabola axis of symmetry is the x-axis.

focus of parabola is at (a + p, b)

given p = 2

focus of parabola is at (0 + 2, 0) = (2, 0)

Hence vertex at (0, 0), focus at (2, 0), and symmetry with the x-axis.

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Suppose that 71% of the surface of the earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the earth. if 6 such locations are generated, what is the probability that all 6 locations are in water? 0.0006 0.1281 0.8719 0.9994

Answers

The probability of all 6 locations being in water is 0.9994.

The probability of a single location being in water is 0.71. When finding the probability of 6 locations all being in water, we can use the binomial probability formula:

P(x=6) = (n!/(x!(n-x)!)(p^x)(q^(n-x))

where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.

Plugging in the values, we get:

P(x=6) = (6!/(6!(6-6)!)(0.71^6)(0.29^(6-6))

P(x=6) = 0.9994

Therefore, the probability of all 6 locations being in water is 0.9994.

The probability of all 6 locations being in water is 0.9994.

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Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

35

Step-by-step explanation:

A paint tray has an area of 42x2+135x+108 in2. The square paint compartments are all the same size and spaced evenly, though the space along the edge of the tray is twice as wide as the space between squares.

(a) What is the width of the paint tray in terms of x?

(b) What is the area of each of the paint compartments in the tray?

(c) How wide are the edges of the tray if the width of the paint tray is 45 in.?

Answers

The dimensions of the paint, obtained by factoring the polynomial function for the area of the tray, 42·x + 135·x + 108 are as follows;

(a) The width of the tray = 6·x + 9

(b) Area of the square paint compartment is 9 in²

(c) The width of the edges is 12 inches

What are the factors of a polynomial?

The factors of a polynomial are other polynomials of lesser degree, that when multiplied together, produces the polynomial which is factored.

The area of the paint tray = 42·x² + 135·x + 108 in²

The dimensions of the square paint compartment are the same

Space along the edge of the tray = 2 × space between the squares

(a) The length of the tray obtained from the diagram in the question = 7·x + 12 inches

Using an online tool, we get;

42·x² + 135·x + 108 = 3·(2·x + 3)·(7·x + 12)

The area of a rectangle = Length × Width

Therefore, the width of the tray = The area ÷ The length

Width = (42·x² + 135·x + 108)/(7·x + 12) = 3·(2·x + 3)

The width of the tray = 3·(2·x + 3) = 6·x + 9

(b) Let s represent the side length of each square paint compartment, we get;

Width of four compartments + 3 spaces between compartments = (7·x + 12) - 2 × 2·x

Width of four compartments + 3 spaces between compartments = 4·s + 3·x

4·s + 3·x = (7·x + 12) - 2 × 2·x = 3·x + 12

4·s = 3·x + 12 - 3·x = 12

s = 12/4 = 3

s = 3

The side length of each square = 3 inches

The area of each square paint compartment = s²

s² = 3² = 9

The area of each square paint compartment = 9 square inches

(c) Where the width = 45 inches, we get;

3·(2·x + 3) = 45

2·x + 3 = 45/3 = 15

2·x + 3 = 15

2·x = 15 - 3 = 12

x = 12/2 = 6

x = 6

The width of the edges of the tray = 2·x

2·x = 2 × 6 = 12

The width of the edges of the tray = 12 inches

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Can someone explain this, I got x = 0

Answers

Is the answer 1 … I’m pretty sure

82=-3(-4a+3)-5 what’s the answer

Answers

Step-by-step explanation:

82=−3(−4a+3)−5

Step 1: Simplify both sides of the equation.

82=−3(−4a+3)−5

82=(−3)(−4a)+(−3)(3)+−5 (Distribute)

82=12a+−9+−5

82=(12a)+(−9+−5) (Combine Like Terms)

82=12a+−14

82=12a−14

Step 2: Flip the equation.

12a−14=82

Step 3: Add 14 to both sides.

12a−14+14=82+14

12a=96

Step 4: Divide both sides by 12.

[tex]\frac{12a}{12} = \frac{96}{12}[/tex]

a=8

Devon is 34 years older than his son, Milan. The sum of both their ages is 44.
Using the variables d and m to represent the ages of Devon and Milan, respectively,
write a system of equations to describe this situation.

How old is Devon?

Answers

The first equation is based on the fact that Devon is 34 years older than his son Milan:

d = m + 34 (1)

The second equation is based on the fact that the sum of their ages is 44:

d + m = 44 (2)

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts, separated by an equals sign (=). For example, the equation 2x + 3 = 7 is a statement that the expression 2x + 3 is equal to the expression 7. The expressions on either side of the equals sign are often referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations can be used to model and describe a wide range of real-world situations, including physical phenomena, financial models, and scientific relationships. Equations can be simple or complex, involving one or more variables and a variety of mathematical operations. Equations can be solved to find the value of the variable(s) that make the equation true.

We can use the information provided to write a system of equations to describe the situation.

The first equation is based on the fact that Devon is 34 years older than his son Milan:

d = m + 34 (1)

The second equation is based on the fact that the sum of their ages is 44:

d + m = 44 (2)

To find how old is Devon we can use either of the equation. Let's use equation (1)

d = m + 34

We know that Milan is x years old, We can substitute that in equation (1)

d = x + 34

So, Devon is 34 years older than Milan.

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A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.

Answers

The probability that they share the same color is 7/15.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The likelihood that an event will occur increases with its probability.

A straightforward illustration is tossing a fair (impartial) coin.

The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half (which may also be.

According to our question-

Then n(S)= number of ways of drawing 2 balls out of (6+4)=10

Let E= event of getting both balls of same color

Then, n(E)= no of ways (2 balls out of six) or (2 balls out of 4)

= 6C 2​+ 4c2

∴P(E)= n(S)/n(E)= 45/21= 15/7

7/15

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How do you find the base and value of an exponent?

Answers

The base of an exponent is a number that is increased to a definite power. So, the base of an exponent defines the number that is multiplied by itself.

An exponent is a number or letter written above and to the right of a mathematical expression said the base. It indicates that the base is to be increased to a certain power.

In 2³ = 2 × 2× 2, 2 is the base number which is to be multiplied by itself thrice and could be also called “two to the power of three” or “two to the third power” In 2³= 2 × 2× 2, 3 is the exponent which represents the number of times 2 is to be multiplied by itself.

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I need help finding the value of x

Answers

Answer:

x=138

Step-by-step explanation:

A triangle's angles equal to 180

104+34=138

180-138=42

X and 42 are a liner pair so they equal 180

138+42=180

x=138

A catering company loses $110 as a result of a delay.
The 5 owners of the company must share the loss equally.
Which integer represents the change in profit for each owner?
A. –$22.00
B. –$0.50
C. $0.20
D. $5.00

Answers

The change in profit for each owner is -$22.00c

What is change in profit?

You should be aware that change in profit in this regard talks about how much money each partner is going to loose over what he or she gains initially

The given parameters that will help us to understand the question are

Total amount of loss is $110Number of partners is 5Sharing ratio is equal

This implies that the 100 dollars will be shared among the five partners in this way

110/5 = 22.00

In conclusion each partner gets a change in profit of $22.00

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The race course is 600 meters long. What is the length of the race in kilometers?
km

Answers

Answer:

.6 km

Step-by-step explanation:

We need to convert meters to kilometers.

1000 meters is 1 km.

600 meters * 1 km/ 1000m

600/1000  km

.6 km

Answer:

0.6 Km

Step-by-step explanation:

The race course is 600 meters long. What is the length of the race in kilometers?

1000 meters = 1 Kilometer

so

600 : 1000 =

0.6 Km

Challenge A family wants to rent a car to go on vacation Company A charges $30.50 and 10¢ per mile. Company B charges $75.50 and 16¢ per mile. How much more does Company B charge for x
miles than Company A?
For x miles, Company B charges dollars more than Company A
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
A

Answers

Integers are a type of real number that just includes positive and negative whole numbers and natural numbers. Real numbers can include fractions due to rational and irrational numbers, but integers cannot include fractions.

How do you know if a number is integer or decimal?In this method, we will check the number by dividing it with 1, if it is completely divided by 1 then the function will return value as 0 and the number is a whole number. Otherwise, the number is a decimal point number.Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not.An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

$75.50 and 18 cents - $35.50 and 8 cents = $40.00 and 10 cents per mile. For x miles, we multiply $40.00 and 10 cents by x miles.

Also, we could convert dollars to cents by multiply it by 100 Since $1 =100 cents.

7568 - 3558 cents = 4010 cents. For x miles, 4010X cents.

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SusieAnnaMarie makes $12 per hour cutting grass and $14 per hour tutoring.

One weekend, she worked a total of 14 hours and made $184.

How many hours did she spend cutting grass?

Answers

Susie AnnaMarie spent 6 hours cutting grass

How to calculate the number of hours that Susie AnnaMarie spent cutting grass?

Let a represent the number of hours Susie AnnaMarie spent cutting grass

Let b represent the number of hours Susie AnnaMarie spent tutoring

a + b = 14..........equation 1

12a + 14b= 184.........equation 2

From equation 1

a + b= 14

a= 14-b

Substitute 14-b for a in equation 2

12(14-b) + 14b= 184

168 - 12b + 14b= 184

168 + 2b= 184

2b=  184-168

2b= 16

b= 16/2

b= 8

Substitute 8 for b in equation 1

a + b= 14

a + 8= 14

a= 14-8

a= 6

Hence Susie AnnaMarie spent 6 hours cutting the grass

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