Mathematics High School

## Answers

**Answer 1**

**Solution**

**The answer is**

**Absolute Value Function**

## Related Questions

Need help finding 2 more points on the line for question # 13(7,2) and (7,4)Slope= 24-2/7-7 = 2/0

### Answers

ExplanationAlgebra / Graphs and Functions / Graphing Slope / Slope of a Line Using Two Points

In this problem, we have a set of the coordinates of two pairs of points, and we must compute the slope for each one of the sets.

For the line that passes through points (x₁, y₁) and (x₂, y₂), the slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

**(11) (x₁, y₁) = (5, -2) and (x₂, y₂) = (6, -5)**

Replacing the coordinates of these points in the formula above, we get:

[tex]m=\frac{-5-(-2)}{6-5}=\frac{-5+2}{1}=-3.[/tex]

**(12)** **(x₁, y₁) = (3, 8) and (x₂, y₂) = (-4, 8)**

Replacing the coordinates of these points in the formula above, we get:

[tex]m=\frac{8-8}{-4-3}=\frac{0}{-7}=0.[/tex]

A slope equal to zero represents an horizontal line.

**(13) (x₁, y₁) = (7, 2) and (x₂, y₂) = (7, 4)**

Replacing the coordinates of these points in the formula above, we get:

[tex]m=\frac{4-2}{7-7}=\frac{2}{0}=\infty.[/tex]

A slope equal to infinity represents a vertical line.

Answer

**11. m = -3**

**12. m = 0 (horizontal line)**

**13. m = ∞ (vertical line)**

Construct a 99% confidence interval of the population proportion using the given information. x = 175n = 250The lower bound is __The upper bound is __(Round to three decimal places as needed.)

### Answers

**Answer:**

[tex]\begin{gathered} \text{ Lower bound= }0.625 \\ \text{ Upper bound= }0.775 \end{gathered}[/tex]

**Step-by-step explanation:**

Confidence interval is given as.

[tex]\text{ Mean}\pm\text{ margin of error }[/tex]

x is the number of successes and n is the sample size, use them to calculate the sample proportion:

[tex]p-hat=\frac{175}{250}=0.70[/tex]

Therefore by:

[tex]p\pm Z_{\frac{\alpha}{2}}\cdot\sqrt[]{\frac{p(1-p)}{n}}[/tex]

The lower bound and upper bound would be:

[tex]\begin{gathered} 0.70\pm Z_{0.005}\cdot\sqrt[]{\frac{0.7*0.3}{250}} \\ 0.70\pm\mleft(-2.576\mright)*\sqrt[]{0.00084} \\ \text{ Lower bound= }0.625 \\ \text{ Upper bound= }0.775 \end{gathered}[/tex]

What is the slope of a line perpendicular to the line whose equation is 4x-2y=-16 Fully simplify your answer.

### Answers

Two lines are perpendicular if the multiplication of their slopes is equal to -1.

Isolating y from the equation:

[tex]\begin{gathered} 4x-2y=-16 \\ 4x-2y+16=0 \\ 4x+16=2y \\ \frac{4x+16}{2}=y \\ \frac{4x}{2}+\frac{16}{2}=y \\ 2x+8=y \end{gathered}[/tex]

The slope of this line is 2. Therefore, the slope of the line perpendicular to this one will be:

[tex]\begin{gathered} m\cdot2=-1 \\ m=-\frac{1}{2} \end{gathered}[/tex]

the cost of 5 gallons of ice cream has a variance of 49 with a mean of 30 dollars during the summer. what is the probability that the sample mean would differ from the true mean by more than 0.6 dollars if a sample of 145 5-gallon pails is randomly selected? round your answer to four decimal places.

### Answers

There is a **probability** of 0.3068 (or 30.68%) that the **sample mean price **of a 5-gallon container of ice cream will differ from the population mean of 30 by 0.6 dollars.

What is probability?

The area of mathematics known as probability deals with **numerical descriptions** of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. **Statistics** is the study of events subject to probability.

Variance = 49

SD = √Variance = 7

Standard Error = SD/√N

= 7/√145

≈ 0.5813

Z = number of standard errors away from the mean

= 0.6/SE

= 0.6/0.5813

≈ 1.0322

P(|Z| > 1.0322)

= P(Z < -1.0322) + P(Z > +1.0322)

≈ 0.1534 + 0.1534

= 0.3068

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PLEASE HELP ME ASAP

### Answers

**Answer:**

[tex]y = \frac{4}{5} x - 1[/tex]

Expand and simplify x(x - 3)(x + 5)

### Answers

**Answer:**

x^3+2x^2-15x

**Step-by-step explanation:**

Find the quotient.2 1/3 ÷ 2 3/4Simplify your answer completely.

### Answers

Given the expression:

[tex]\text{ 2 }\frac{1}{3}\text{ }\div\text{ 2}\frac{3}{4}[/tex]

In dividing mixed numbers, you must first transform the mixed numbers into improper fractions.

We get,

[tex]\text{ 2}\frac{1}{3}\text{ = }\frac{(2\text{ x 3) + 1}}{3}\text{ = }\frac{6\text{ + 1}}{3}\text{ = }\frac{7}{3}[/tex][tex]2\frac{3}{4}=\frac{(2\text{ x 4) + 3}}{4}\text{ = }\frac{8\text{ + 3}}{4}\text{ = }\frac{11}{4}[/tex]

Let's now proceed with the division.

[tex]\text{ 2 }\frac{1}{3}\text{ }\div\text{ 2}\frac{3}{4}\text{ = }\frac{7}{3}\text{ }\div\text{ }\frac{11}{4}\text{ = }\frac{7}{3}\text{ x }\frac{4}{11}\text{ = }\frac{7\text{ x 4}}{3\text{ x 11}}[/tex][tex]\text{ = }\frac{28}{33}[/tex]

Therefore, the quotient is 28/

help someone please

### Answers

If x² - 8 = x² **substracting** x² on both side then k = -8. This indicates that to obtain g, we must shift f **8 units down.**

What is meant by function?

An expression, rule, or law in mathematics that establishes the relationship between an **independent variable** and a dependent variable (the dependent variable). In mathematics, **functions **are everywhere, and they are crucial for constructing physical relationships in the sciences.

Let the two functions be f(x) = x² and g(x) = x² - 8.

We know that g exists obtained by **shifting **f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by **adding **k units to the value of f(x). That is

g(x) = f(x) + k

If we replace the meaning of f, g we get

x² - 8 = x²

By **substracting** x² on both side we get

x² - 8 - x² = x² - x²

k = -8.

This indicates that to obtain g, we must shift f **8 units down.**

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At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books.

### Answers

For this you would first divide 21 by 7 and get 3. Then you would multiply 3 by 2. So the answer would be 6.

A CD account contains $5,400 today. The account earns an annual interest of 7% for each of the next four years. The bank uses the equation A=5,400(r)^y to determine the amount of money in the account,A, after y years if no other deposits or withdrawals are made.

What numerical value should the banks use for r?

To the nearest dollar,how much money will bein the CD account at the end of the four years? (Note: Disregard the $ sign when gridding your answer)

### Answers

Using an **exponential function**, it is found that:

The banks should use a **value of r **of r = 1.07.The **balance **of the account at the end of four years is of: $5,899.

What is an exponential function?

An increasing exponential function is **modeled **according to the rule presented next:

[tex]A(t) = A(0)(1 + k)^t[/tex]

In which the **parameters **of the exponential function are as follows:

A(t) is the amount after t years.A(0) is the initial amount of the function.k is the growth rate of the function, as a decimal.

In this problem, the **values **of the parameters are given as follows:

A(0) = 5400, which is the value of the investment.k = 0.07, which is the growth rate of the balance.

Then the **function **is:

[tex]A(t) = 5400(1.07)^t[/tex]

The **numeric value** of the parameter r is given as follows:

r = 1.07.

(comparing to the format 5,400(r)^y).

The **balance **of the account after four years is given as follows:

[tex]A(4) = 4500(1.07)^4 = 5899[/tex]

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compare the graph of the linear function to the parent graph f(x)=xf(x)=x-1a) reflection in the x-b) vertical shift of 1 unit upc) vertical shift of 1 unit down d) vertical shrink

### Answers

Answer:

c) vertical shift of 1 unit down

Explanations:

Given the **parent function** of a linear equation expressed as:

[tex]f(x)=x[/tex]

If the function is shifted **vertically downwards by k units**, the resulting function will be;

[tex]f(x)=x-k[/tex]

Comparing this** vertical shift** rultewith the resulting function f(x) = x - 1, you can see that the function f(x) = x is** shifted vertically down by 1 unit** to **produce f(x) = x -1.**

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers find the probability that the committee will consist of these people. (Assume that the selection will be random) a) all teachersB) 2 teachers and 2 parents c) all parents d) I teacher and 3 parents

### Answers

This situation can be modeled with the binomial distribution if we consider each person as a teacher or not a teacher.

The probability that a person is a teacher is computed as follows:

[tex]p=\frac{\text{ number of teachers}}{total\text{ number of people}}=\frac{5}{20+5}=0.2[/tex]

The binomial distribution formula is:

[tex]P(x)=_nC_x\cdot p^x\cdot q^{n-x}[/tex]

where:

P: binomial probability

x: number of times for a specific outcome within n trials

nCx: combinations

p: probability of success on a single trial (in this case, success means the person is a teacher)

q: probability of failure on a single trial (computed as 1 - p)

n: number of trials

**a)** Substituting with x = 4, n = 4, p = 0.2, q = 0.8 (= 1 - 0.2), we get:

[tex]\begin{gathered} P(4)=_4C_4\cdot0.2^4\cdot0.8^{4-4} \\ P(4)=1\cdot0.2^4\cdot1 \\ P(4)=0.0016 \end{gathered}[/tex]

**b)** Substituting with x = 2, n = 4, p = 0.2, q = 0.8 (= 1 - 0.2), we get:

[tex]\begin{gathered} P(2)=_4C_2\cdot0.2^2\cdot0.8^{4-2} \\ P(2)=6\cdot0.2^2\cdot0.8^2 \\ P(2)=0.1536 \end{gathered}[/tex]

**c)** Substituting with x = 0, n = 4, p = 0.2, q = 0.8 (= 1 - 0.2), we get:

[tex]\begin{gathered} P(0)=_4C_0\cdot0.2^0\cdot0.8^{4-0} \\ P(0)=1\cdot1\cdot0.8^4 \\ P(0)=0.4096 \end{gathered}[/tex]

**d)** Substituting with x = 1, n = 4, p = 0.2, q = 0.8 (= 1 - 0.2), we get:

[tex]\begin{gathered} P(1)=_4C_1\cdot0.2^1\cdot0.8^{4-1} \\ P(1)=4\cdot0.2^{}\cdot0.8^3 \\ P(1)=0.4096 \end{gathered}[/tex]

Point B is a segment AB such as AP: PB￼ is 2:5. If A had coordinates (-8,-2) and B has coordinates (6,19); determine and state the coordinates of P.PLEASE HELP

### Answers

A coordinates (-8,-2)

B coordinates (6,19)

Find P so that the relation of the lenght of AP to the lenght of PB is 2 to 5

The distance between A and B in x is: 6 - (-8) = 6 + 8 = 14

The distance between A and B in y is: 19 - (-2) = 19 + 2 = 21

Since whe have to divide the segment AB in 7 equal segments (to put point P to distance of 2 to A and a dictance of 5 to B)

Each of the 7 seven segments will have an increment in x of 14/7 = 2

Each of the 7 seven segments will have an increment in y of 21/7 = 3

The x for the point P is the x of the point A plus 2 of our segments:

-8 + 2(2) = -8 + 4 = -4

The y for the point P is the y of the point A plus 3 of our segments:

-2 + 3(2) = -2 + 6 = 4

So the point P is at (-4, 4)

Answer:

P(-4, 4)

Distance between A and P in x: -4 - (-8) = -4 + 8 = 4

Distance between A and P in y: 4 - (-2) = 4 + 2 = 6

Distance between P and B is x: 6 - (-4) = 6 + 4 = 10

Distance between P and B in y: 19 - (4) = 15

You can see that the realtion between the distances is 2 to 5:

In x, AP distance is 4 and PB distance is 10, 4/10 = 2/5

In y, AP distance is 6 and PB distance is 15, 6/15 = 2/5

What is the distance between the points (-1,2) and (2,6)?Hey there Ms or Mr could you please help me out? Just a heads up this isn't a quiz it's my homework assignment for today, it's about Properties of quadrilaterals.

### Answers

**Answer:**

A. 5

**Explanation:**

Given the points (-1,2) and (2,6):

To find the distance between the points, we use the distance formula:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]\begin{gathered} (x_1,y_1)=(-1,2) \\ (x_2,y_2)=(2,6) \\ \implies Distance=\sqrt[]{(2-(-1))^2+(6-2)^2} \\ =\sqrt[]{(2+1)^2+(6-2)^2} \\ =\sqrt[]{3^2+4^2} \\ =\sqrt[]{25} \\ =5\text{ units} \end{gathered}[/tex]

**The distance between the given points is 5 units.**

Find the midpoint of each segment in Exercise 1 above.Example: The midpoint M between point E and point F is calculatedwith the Midpoint Formula.

### Answers

We have to calculate the midpoint for each segment.

To do that we have to calculate the average for the coordinates of each point.

1) For AB, we have A = (-5,8) and B = (-5,6).

We can then calculate the midpoint coordinates as:

[tex]M_{AB}=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})=(\frac{-5+(-5)}{2},\frac{8+6}{2})=(-\frac{10}{2},\frac{14}{2})=(-5,7)[/tex]

2) For BC we have B = (-5,6) and C = (-2,6).

The midpoint will be:

[tex]M_{BC}=(\frac{-5+(-2)}{2},\frac{6+6}{2})=(\frac{-7}{2},\frac{12}{2})=(-\frac{7}{2},6)[/tex]

3) For CD we have C = (-2,6) and D = (2,3).

The midpoint will be:

[tex]M_{CD}=(\frac{-2+2}{2},\frac{6+3}{2})=(\frac{0}{2},\frac{9}{2})=(0,\frac{9}{2})[/tex]

4) For DE we have D = (2,3) and E = (2,-1).

The midpoint will be:

[tex]M_{DE}=(\frac{2+2}{2},\frac{3+(-1)}{2})=(\frac{4}{2},\frac{2}{2})=(2,1)[/tex]

5) For EF we have E = (2,-1) and F = (6,0).

The midpoint will be:

[tex]M_{EF}=(\frac{2+6}{2},\frac{-1+0}{2})=(\frac{8}{2},-\frac{1}{2})=(4,-\frac{1}{2})[/tex]

**Answer:**

**AB = (-5,7)**

**BC = (-7/2,6)**

**CD = (0,9/2)**

**DE = (2,1)**

**EF = (4,-1/2)**

a pitcher of lemonade is made with five cups of water, one cup of lemon juice, and three-fourths of a cup of sugar. what are the solute(s)? responses lemon juice only lemon juice only, , sugar and water sugar and water water and lemon juice water and lemon juice, , water only water only, , sugar only sugar only lemon juice and sugar

### Answers

Lemon juice and sugar are the** solutes**.

Given,

Five cups of water, one cup of lemon juice, and three-fourths of a cup of sugar are used to make a **pitcher of lemonade.**

We have to find the solutes in the mixture;

Solutes;

Anything dissolved in a solution is referred to as a solute. In a fluid solution, the amount of solvent always outweighs the amount of solute. Two of the most prevalent solutes in our daily lives are salt and water. Salt is the solute because it** dissolves in water.**

Here,

In lemonade, lemon juice and sugar dissolves in water.

So, we can conclude that;

Water is** solvent **and lemon juice and sugar are the solutes

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[tex]\sf -3z+1 = -26[/tex]

### Answers

**Answer:**

**Step-by-step explanation:**

OK:

1. Isolate the variable in the left side!! **Remember if a number or variable goes over the equal sign it always becomes opposite!**

-3z=-26-1

-3z=-27

-3*z=-27

z= -27/-3

z=9

2. Always double check!

-3*9+1=-26

TRUE

**Answer: z=9**

**Answer:**

z = 9

**Step-by-step explanation:**

The given equation is,

→ -3z + 1 = -26

Let's solve for the value of z,

→ -3z + 1 = -26

→ -3z = -26 - 1

→ z = (-27)/(-3)

→ z = 27/3

→ [ z = 9 ]

Hence, the value of z is 9.

The discriminant of ax^2+ bx + c = 0 is defined as? A. 2a B. Square root b^r -4ac

### Answers

For the general quadratic equation:

[tex]ax^2+bx+c=0[/tex]

the solutions are given by the quadractic formula

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

**The discriminant tells you how many possible solutions a particular quadratic equation has and is given by the term into the square root:**

[tex]b^2-4ac[/tex]

If the discriminant is negative, t**he quadratic equation has no real solutions because the square root of negative numbers is not defined** (yet)

The real solutions correspond to the x-intercepts of a given graph. Then,** the answer is: x-intercepts. **That is because the equation

[tex]ax^2+bx+c=0[/tex]

is the same as

[tex]y=0[/tex]

that is, the solutions are the x-values where y is equal to zero, which are the x-intercepts.

In other words, they are the locations where the function crosses or touches the x-axis

a) Vector d is shown on a centimetre grid.

Write d as a column vector

### Answers

The **column vecto**r is= 0 as d lies on orgin its values is[0,0]

What is column vector?A **column **of entries in linear algebra is known as a column vector, such as A row of entries makes up a row vector. Throughout, both the row and column vectors are displayed in boldface.The column vector is the **transpose **of a row vector, denoted by the symbol T. where the row vector is the transposition of a column vector.The text component, commonly known as the **horizontal **component, exists. The highest value in the column vector indicates how many spaces we should move to the right or left.Positive numbers indicate a rightward direction.The **direction **is left if the number is negative.

acc to our **question**=

d = column vector

d lies on origin

Hence,he **column vecto**r is= 0

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What is 0.267 as a fraction?

### Answers

267/1000

0.267 x 1000 = 267

1 x 1000 = 1000

**Answer:**

[tex]\frac{267}{1000}[/tex]

**Step-by-step explanation:**

[tex]0.267 = 267 : 1000[/tex]

2. assume you are taking two courses this semester (a and b). the probability that you will pass course a is 0.835, the probability that you will pass both courses is 0.276. the probability that you will pass at least one of the courses is 0.981.2(c). what is the probability that you will pass course b given that you pass course a?

### Answers

The **probability** that you will pass course B is 0.422

No, the passing of the two courses independent events P(A) * P(B) = 0.35237.

It's not **mutually exclusive events.**

Given that,

Let's say you're enrolled in two classes each this semester, A and B.

The probability that you will pass the course a is 0.835, the probability that you will pass both courses is 0.276, the probability that you will pass at least one of the courses is 0.981

Now, we need to solve the following conditions;

(a) What is the probability that you will pass course B?

P(A) = 0.835

P( A ∩ B) = 0.276

P( A ∪ B) = 0.981

P(B) = P(A ∪ B) - P(A) + P(A ∩ B)

= 0.981 - 0.835 + 0.276

= 0.422

(b) Use statistical data to support your conclusion as to whether the passing of the two courses constitutes **independent events.**

No,

P(A ∩ B) != P(A) * P(B)

P(A) * P(B) = 0.422* 0.835

= 0.35237

P( A ∩ B) = 0.276

(c)Are the activities required to pass the courses exclusive,

P(A ∩ B) ! =0, it's not mutually exclusive events

Therefore, The probability that you will pass course B is 0.422

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Can someone please help me and thank you

### Answers

The last one: **y > -1/2x - 3**

Because from the graph you see that your y-intercept is -3, and the slope is -1/2.

Answer:

Last choice.

y > -1/2x - 3

Step-by-step explanation:

The graph has a y-intercept of -3. This is where the red dashed line crosses the y-axis. At -3.

The only answer choice that has -3 as the y-intercept is the last choice in the image.

Lucy can buy up to 12 pencils at the store. The cost of the pencils is shown in the graph. What is the domain? A. All real numbers B. All whole numbers from 0 to 12 C. All rational numbers from 0 to 12 D. All nonnegative real numbers

### Answers

The domain is the complete set of values of the independent variable.

Hence, the domain of this question as shown in the image starts from 0 to 12.

As 0 is the minimum number of pencil and the maximum is 12.

Hence, the correct option is all whole numbers from 0 to 12.

**OPTION B**

How many movies had between 25 and 29 actors ?

### Answers

The number of movie bewteen 25 and 29 are 5.

How would you solve 3.1 times 10^3, then multiply that by 1.9 times 10^3?

### Answers

**Answer:**

**Step-by-step explanation:**

1. Step by step multiply 3.1 by 10^3

3.1*10*10*10= 3.1*1000= 3100

2. Multiply 1.9* 1000

1.9*1000= 1900

3. Get the two numbers and multiply them together!

1900*3100=** 5890000 as answer**

**Ps> Brainliest is welcome!**

**Answer:**

(3.1 * 10^3) * (1.9 * 10^3) =

3.1 * 10^3 * 1.9 * 10^3 =

3.1 * 1.9 * 10^6 =

5.89 ^ 10^6 =

5890000

**Step-by-step explanation:**

What is the image of (12,0) after a dilation by a scale factor of 1/3 centered at the

origin?

### Answers

After **dilation **by a **scale factor **of 1/3 centered at the **origin **the **image **of A(12, 0) is **A'(4,0)**

**Dilation:**

When an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

So, if the **scale factor** > 1, the image is **enlarged**

Where as if the scale factor is between 0 and 1, it gets **shrunk**

Otherwise, if the scale factor = 1, the object and the image are **congruent**

Given,

Here we have the coordinates of the point (12, 0)

Now, we need to find the image after dilation by a scale factor of 1/3 centered at the origin.

Let us consider the given point is A(-12, 3)

Based on these rule to calculate the dilation by a scale factor 1/3 centered at the **origin**

Then it can be written as,

=> P(x, y) → P'(1/3x, 1/3y)

Therefore, P'(1/3, 1/3y) is the **image **of P(x, y).

Which means the **coordinates **of the image can be determined by multiplying the coordinates of the **original **point by 1/3.

So, when we multiply it, then we get

=> A(12, 0) → A'(1/3(12), 1/3(0)) = A'(4, 0)

So, the image of A(12, 0) after dilation by a **scale factor **of 1/3 is A'(4, 0)

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= Knowledge Check

Simplify.

-3 (v + 2) + 6v

### Answers

Expand bracket:

= -3v - 6 + 6v

Combine like terms:

= 3v - 6

Answer: 3v - 6

Select the correct answer. which function represents a function with zeros at -3, -1, 0, and 6? a. y = (x âˆ’ 6)(x 1)(x 3) b. y = x(x âˆ’ 3)(x âˆ’ 1)(x 6) c. y = x(x âˆ’ 6)(x 1)(x 3) d. y = (x âˆ’ 3)(x âˆ’ 1)(x 6)

### Answers

The required** function** is

y = x(x + 3)(x + 1)(x - 6)

** What is a function?**

A** function** from A to B is a rule that assigns to each element of A a unique element of B. A is called the **domain** of the** function** and B is called the** codomain** of the **function.**

There are different operations on **functions** like **addition, subtraction, multiplication, division** and **composition** of **functions.**

Here,

The** function** has zeroes at x = -3, -1, 0 and 6

The required function is

y = (x - (-3))(x - (-1))(x - 0)(x - 6)

y = x(x + 3)(x + 1)(x - 6)

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The mask go middle school track team needs new uniforms. the students plan to sell plush toy tigers (the school mascot) for $5. the students find three companies online that sell stuffed mascots.

### Answers

From the given data about the three companies students want to **sell** online stuffed mascots A ,B And C , the **company **which buys the best is **company C.**

As given in the question,

Amount for which students plan to **sell **plush toy tigers = $5 per tiger

Price of sell per tiger by each company is equal to :

Company A:

12 tigers = $33.24

⇒ 1tiger = 33.24/12

= $2.77 per tiger

Company B:

16 tigers = $44.80

⇒ 1 tiger = 44.80 / 16

= $ 2.8 per tiger

Company C:

15 tigers = $41.10

⇒ 1 tiger = 41.10 / 15

= $ 2.74 per tiger

Company C **buys** at the lowest cost of $2.74 per tiger.

Therefore, from the given data about the three companies students want to **sell** online stuffed mascots A ,B And C , the company which buys the best is company C.

The complete question is :

The mask go middle school track team needs new uniforms. The students plan to sell plush toy tigers (the school mascot) for $5 each. The students find three companies online that sell stuffed mascots. Company A sells 12 tigers for $33.24. Company B sells 16 tigers for $44.80. Company C charges $41.10 for 15 tigers. Which company has the best buy?

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20. What is the domain of the equation graphed below?O x<4OX > -7O x>-4OAll Real Numbers

### Answers

Explanation

The question wants us to determine the domain of the function graphed

The domain of a function is the set of all possible inputs for the function

From the graph, we can observe that the x-values span from negative infinity to positive infinity

Thus

[tex]-\infty\text{ to }\infty[/tex]

Thus

The domain is **All Real Numbers**