**Answer:**

**Explanation: **

Given the improper fractions:

[tex]\frac{9}{7},\frac{7}{6},\frac{17}{14},\frac{26}{21}[/tex]In order to arrange the fractions, first, **find the lowest common multiple of the denominators**.

• LCM of 7, 6, 14, and 21 = 42

Next, **rewrite each fraction as an equivalent fraction** using the LCM as the new denominator.

Since all the denominators are the same, order the **numerators** from the **greatest to the least:**

**Thus, the fractions ordered from greatest to least is:**

read Dune Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. 1 16 = 18 2) pulss 18 boots -34 bane

**ANSWER**

The solution is: **-3 < p < 3.8**

**EXPLANATION**

When we have an absolute value inequality, to "eliminate" the absolute value we have to write the following:

[tex]\begin{gathered} |10p-4|<34 \\ -34<10p-4<34 \end{gathered}[/tex]To solve this we have to add 4 everywhere in the inequality:

[tex]\begin{gathered} -34+4<10p-4+4<34+4 \\ -30<10p<38 \end{gathered}[/tex]And divide everything by 10:

[tex]\begin{gathered} -\frac{30}{10}<\frac{10p}{10}<\frac{38}{10} \\ -3To graph we have to draw a line from -3 to 3.8, with empty circles at the ends - because those values are not included in the solution.

Lauren used the Quantitative Reasoning Process to budget and to start a savings account. Each month she makes about $185 from a part-time job. Lauren's parents also send her $120 per month. The sum of Lauren's paycheck and the money she gets from her parents is 11% more than her total expenses. How much money does Lauren have available to add to her savings account each month?

**Lauren** can add $30 each month to her **savings** account

Income made by Lauren from part-time **job **= $185

Money sent to Lauren by her **parents** = $120

Total income of Lauren = Money from job+ money received from parents = 120+185 = $305

Let her total **expenses** be x

Substituting the values in the formula we get:

Sum of Lauren's paycheck + Money she gets from her parents = Total expenses+ 11% more than her total expenses

185 + 120 = x+11% of x

305=x+11/100*x

305 = 1.11x

x=274.77 or 275

Money she can add in her savings account each month = Total money received - Expenses = 305 - 275 = $30

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HELP YALL! Suppose you just got a new job that pays ten dollars and 55 cents per hour. You get

paid every two weeks. If you are assured that you will work at least 6 hours per shift

and have 4 shifts per week, then what is the minimum you should expect (before

taxes) in your first paycheck?

**Answer:**

506.40

**Step-by-step explanation:**

.

Ai Mi was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, before tax, she paid $11.79. Find the percent tip.

The **percent tip **paid on the Ai Mi's $9 dinner is 31%.

**Tip **increases the price paid for a service rendered. **Percentage **is the rate of amount that is expressed as a number out of hundred. The sign that is used to represent **percentage **is %. In order to change a number to **percentage, **multiply the number by 100.

The first step is to determine the **tip **paid : $11,79 - $9 = $2.79

Now, express the tip as a ratio of the cost of th**e dinner a**nd multiply by 100

(2.79 / $9) x 100 = 31%

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please help me solve this problem!

(a) Josh would pay $592.48 for the television at the **department store.**

(b) Josh would pay $634.8 for the television at the **superstore.**

(c) Josh would pay** less** for the television at the department store.

Given:

Wholesale price of television = $529

(a) In the department store,

Television wholesale price is marked up by 40%.

Discount = 20%

Marked price = 529 × ( 1 + 40%)

= 529 × (140/100)

= $740.6

Selling price = 740.6 × (1 - 20%)

= 740.6 × (80/100)

= $592.48

(b) In the superstore,

Television wholesale price is marked up by 20%.

Marked price = 529 × ( 1 + 20%)

= 529 × (120/100)

= $634.8

He must pay the full in-store price.

Selling price = $634.8

Ignoring the **tax**, he must pay the full price at the superstore which is $634.8.

(c) As the **selling price** in the department store is less than in the superstore, $592.48 < $634.8.

So, Josh would pay less for the television at the department store.

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A client of Susan's has asked her to create a new wood floor for his living room. The design will be created by laying wood strips in different directions, as shown on the coordinate grid. Determine whether Quadrilateral can best be described as a trapezoid, a rhombus, a rectangle, or a square. Explain your reasoning.

The **Quadrilateral** can best be described as a **trapezoid** with it's two parallel sides and two non- parallel sides.

A **Quadrilateral** is a type of polygon that is known to have four sides from which the name is being derived.

Examples of **quadrilateral** include the following:

The **quadrilateral** represented in the coordinate grid is a trapezoid because it has two parallel sides which are AB and DC and two non parallel sides such as AD and CB.

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A 14-foot ladder is leaning against a house with the base of the ladder 6 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.

[tex]12.6\text{ ft (option }B)[/tex]Explanation:

The ladder leaning on the house formed a right angled triangle

**Using an illustration from the diagram given:**

To get the height the house makes with the ladder, we will apply **pythagoras' theorem:**

**Hypotenuse² = opposite² + adjacent²**

Given: ABCD is a parallelogram A = (3x + y) B = (5x + 10) C = (5y + 20) Find x, y, and mB. x y The measure of angle B =

we know that

In a paralleogram opposite angles are congruent and consecutive angles are supplementary angles

That means

and

so

substitute the given values

(3x+y)=5y+20

3x-4y=20 ------> equation 1

substitute

(3x+y)+(5x+10)=180

8x+y=170

y=170-8x ------> equation 2

solve the system

substitute equation 2 in equation 1

3x-4(170-8x)=20

solve for x

3x-680+32x=20

35x=20+680

35x=700

x=20

Find the value of y

y=170-8(20)

y=10

step 2

Find the measure of angle B

3. Describe the similarities and differences among the following experiments. (a) Slips of paper are marked with the numbers 1, 2, 3, 4, and 5 and placed into a box. After being mixed, two slips are drawn simultaneously. (b) Slips of paper are marked with the numbers 1, 2, 3, 4, and 5 and placed into a box. After being mixed, one slip is drawn then put back into the box, then a second slip is drawn. (c) Slips of paper are marked with the numbers 1, 2, 3, 4, and 5 and placed into a box. After being mixed, one slip is drawn and not put back into the box, then a second slip is drawn.

**SOLUTION**

Given the question in the image, the following are the solution steps to answer the question.

**STEP 1: Describe the first experiment**

Two slips were drawn simultaneously, this means that the outcome of the first slip drawn will be multiplied by the outcome of the second slip drawn. The probability will follow the "and rule of probability".

**STEP 2: Describe the second experiment**

Since one slip is drawn and then put back into the box before a second slip is drawn, this is a PROBABILITY WITH REPLACEMENT. The outcome of the first event will not affect the outcome of the second event since the paper slips are replaced hence not reduced.

**STEP 3: Describe the third experiment**

Since one slip is drawn and not put back into the box before a second slip is drawn, this is a PROBABILITY WITHOUT REPLACEMENT. The outcome of the first event will affect the outcome of the second event since the paper slips reduce.

**Difference between b and c is that b is with replacement and the total outcomes does not change while c is without replacement and the total outcomes change(reduce) after the first slip is drawn.**

Which expression has a value of 13?

**Answer:**

**To solve this problem you will have to use PEMDAS (parenthesis, exponents, multiplication, division, addition, and subtraction).**

The table shows a proportional relationship. x 14 6 26 y 7 3 13 Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (7, 14). A line passes through the point (0, 0) and continues through the point (14, 7). A line passes through the point (0, 0) and continues through the point (3, 6). A line passes through the point (0, 0) and continues through the point (13, 26).

The **proportional relationship** graph that represents the table of values given would look like the graph shown below.

A **proportional relationship** graph always passes through the point of origin, (0, 0). The slope of the graph of a **proportional relationship **is also called the constant of proportionality, k, which can be calculated by using the coordinates of any point on the line, (x, y).

Constant of proportionality, k = y/x.

The equation for a **proportional relationship** is given as y = kx.

Given the table of values above which represents a **proportional relationship**, the graph of the table of values will go through the points below:

(0, 0)

(14, 7)

(6, 3)

(26, 13)

Therefore, the graph of the **proportional relationship** would look like the graph attached below which passes through:

B. (0, 0) and continues through the point (14, 7).

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21. A truck is driving N35oE at a speed of 110 km/h. Determine the components of the vector representing this force.

**Solution:**

The question will be represented below as

To figure out the horizontal component (x), we will use the trigonometric ratio below

[tex]\begin{gathered} sin\theta=\frac{opp}{hyp} \\ \theta=35^0,opp=x,hyp=110 \end{gathered}[/tex]By substituting the values, we will have

[tex]\begin{gathered} s\imaginaryI n\theta=\frac{opp}{hyp} \\ sin35=\frac{x}{110} \\ x=110\sin35^0 \\ x=63.1\text{ km/h} \end{gathered}[/tex]**Step 2:**

To figure out the vertical component (y), we will use the trigonometric ratio below

[tex]\begin{gathered} \cos\theta=\frac{adj}{hyp} \\ \theta=35^0,adj=y,hyp=110 \end{gathered}[/tex]By substituting the values, we will have

[tex]\begin{gathered} \cos(\theta)=\frac{adj}{hyp} \\ \cos35=\frac{y}{110} \\ y=110cos35^0 \\ y=90.1 \end{gathered}[/tex]**Hence,**

**The horizontal component is = 63.1 km/h**

**The vertical component is = 90.1 km/h**

A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is 15,757. Find the increase and the new price. The increase in the price of car is?The new price of car is?

**Given:**

Initial amount (Base) = 15, 757

Rate of increase = 3.5% or 0.035 in decimal form

**Find: **new price and the price increase

**Solution:**

To be able to get the new price, we need to solve for the price increase first. To do that, we need to know what is 3.5% of the old price 15, 757. To calculate that, we will multiply 0.035 by 15,757.

[tex]0.035\times15,757=551.495\approx551.50[/tex]3.5% of 15, 757 is **551.50**. This is the **price increase** of the car next year.

Hence, by next year, the **new price** will now be 15,757 + 551.50 = **16, 308.50.**

What does the leading term of −5x^4+4x^3−6x^2+8 tell you?

-5x^4.

Leading term is with highest power.

Leading term is with highest power.

Write a mathematical expression for the following statement

x is at least 19

Write a mathematical expression for the following statement: x is at least 19

this means that **x > 19 **

in set builder notation: **(19,∞)**

I'll give brainliest!

BUMP

It is an** Irrational number**.

Mathematics Number Types

The numbers are divided into many sorts based on their characteristics and how they are shown on a number line. To help readers comprehend each kind of number, descriptions, features, and examples are included. Here are the many kinds of numbers:

Natural Numbers

Natural numbers, which include the range of positive integers from 1 to infinity, are sometimes known as "counting numbers." The letter "N" stands for the set of natural numbers. The definition of the natural number set is:

N = {1, 2, 3, 4, 5, ……….}

For instance, 35, 59, 110, etc.

Natural Numbers' Characteristics

Natural number addition is commutative, associative, and closed.

Multiplication of Natural Numbers is closed, associative, and commutative.

Zero is the identity component of a natural number when added.

A natural number's identity component under multiplication is one.

Complete numbers

Natural numbers with a zero are another name for whole numbers. The set is made up of non-negative integers without any fractional or decimal parts. The entire set of numbers is "W" which stands for the concept. The definition of the natural number set is:

W = {0,1, 2, 3, 4, 5, ……….}

For instance, 67, 0, 49, 52, etc.

Whole-number properties:

Under addition and multiplication, whole numbers are closed.

The identity component of the whole numbers that are additive is zero.

The multiplicative identity element is 1, which.

It complies with addition and multiplication's commutative and associative properties.

The distributive property that favors multiplication over addition and vice versa is satisfied.

Here is further information about the entire numbers.

The set of all whole numbers with a negative set of natural numbers is known as an integer. The letter "Z" stands for the integer set. The definition of the set of integers is:

Z = {-3, -2, -1, 0, 1, 2, 3}

For instance: -52, 0, -1, 16, 82, etc.

Characteristics of integers

For addition, subtraction, and multiplication, integers are closed.

For integer addition and multiplication, the commutative property is met.

It abides by the addition and multiplication operations' associative feature.

For addition and multiplication, it abides by the distributive property.

The integers' additive identity is 0.

Integers have a multiplicative identity of 1.

Actual Figures

Real numbers are any number, including positive and negative integers, fractional and decimal numbers, and quantities without imaginary numbers. The letter "R" is used to signify it.

Examples are 34, 0.333, 2, 0, -10, 20.

Real Numbers' Characteristics

Under addition and multiplication, Real Numbers are commutative, associative, and distributive.

The opposite property applies to real numbers.

Real numbers have identity elements that are 0 and 1, respectively, for addition and multiplication.

Rational Numbers

Any integer that can be expressed as p/q, or as a ratio of one number to another, is referred to be a rational number. The letter "Q" can be used to signify a rational number.

Examples include 7/1, 10/2, 1/1, and 0/1.

Rational number properties include:

Addition, subtraction, multiplication, and division all result in closed rational numbers.

With regard to addition and multiplication, it meets the commutative and associative properties.

For addition and subtraction, it abides by the distributive property.

Unrealistic Numbers

The amount that cannot be represented by p/q. It denotes a number as being irrational if it cannot be expressed as a ratio of one to another. The letter "P" is used to signify it.

Examples include 2 and Euler's constant.

**Irrational number** characteristics include:

**Irrational numbers** do not meet the property of closure.

Under addition and multiplication, it complies with the commutative and associative properties.

Irrational numbers can be added to and subtracted from in distributive ways.

Large Numbers

Complex numbers are those that take the form a+bi, where a and b should be real values, and I should be an imaginary number.

Examples are 1 + 2i, -2 + 3i, and 4 + 4i.

Complex number properties include:

The complex numbers have the following characteristics:

a characteristic of addition and multiplication that is associated.

Commutative addition and multiplication properties.

Multiplication's distributive advantage over addition.

Unreal Numbers

The complex numbers category includes imaginary numbers. It is the result of adding actual numbers with the hypothetical unit "i." It defines the imaginary portion of complex numbers.

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May I receive help? Find the surface area of the solid. round to the nearest tenth.

The diagram of the solid is shown below:

The surface area ould be the sum of the area of each face

The area of the first rectangular face = 1.5 * 3.3 = 4.95 cm^2

The area of the middle rectangular face = 2.5 * 3.3 = 8.25 cm^2

The area of the third rectangular face = 2.0 * 3.3 = 6.6 cm^2

Area of each triangle is 1/2 * base * height = 1/2 * 2 * 1.5 = 1.5

Since the faces are 2, area of both triangular faces = 1.5 * 2 = 3 cm^2

**Total surface area of the solid is **

**4.95 + 8.25 + 6.6 + 3 = 22.8 cm^2**

On a map of Europe, the cities of Berlin, Budapest, and Vienna form a triangle. Berlin is 329 miles from Vienna, and Vienna is 129 miles from Budapest. Berlin is closer to Vienna than to Budapest. Based on these facts, which of the following best describes the possible values of d, the distance between Berlin and Budapest in miles?

The **possibles values **of d i.e., the distance between Berlin and Budapest will be as follows

**200 miles < d < 458 miles**

The **triangle inequality theorem** explains the connection between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the **third side.**

Case 1

129 miles + d > 329 miles

**⇒ d > 200 miles**

Case 2

129 miles + 329 miles > d

**⇒ 458 miles > d**

From **Case 1 and Case 2**, for d we can say

200 miles < d < 458 miles

Therefore, The **possibles values **of d i.e., the distance between Berlin and Budapest will be as follows

**200 miles < d < 458 miles**

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The area of the rectangle shown above is 17.36 square yards. What's the perimeter?

**Answer:**

D. 17.4 yards

**Step-by-step explanation:**

Since the area of the rectangle is 17.36 square yards, and the width is 3.1 yards, we set up and solve this equation to find the length:

17.36 = 3.1h, so h = 5.6 yards.

From this, the perimeter of the rectangle is 2(3.1 + 5.6) = 2(8.7) = 17.4 yards.

So D is the correct answer.

Which is the better buy: 18 oz. of rice for $6.30, 12 oz. of rice for $4.56, or 7 oz. of rice for $2.59? steps

Using **unitary method**, it is better to buy 18 ounce of rice for $6.30

There are three types of rice

Rice 1

**The cost **of 18 ounce of rice = $6.30

Here we have to use the unitary method

The **cost of 1 ounce of rice **= 6.30/18

= $0.35

Rice 2

The cost of 12 ounce of rice = $4.56

Apply unitary method

The cost of 1 ounce of rice = 4.56/12

= $0.38

Rice 3

The cost of 7 ounce of rice = $2.59

Apply unitary method

The cost of 1 ounce of rice = 2.59/7

= $0.37

So It is better to buy rice 1

Hence, unitary method, it is better to buy 18 ounce of rice for $6.30

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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee !!

**Answer: 600**

**Step-by-step explanation:**

I did not check your work from parts a and b.

Assuming they are correct,

You have found the total amount after the first year and the total amount after the first two years.

To find the total amount for only the second year,

you subtract the second year totals from the first year totals.

So,

(b) - (a) = 1000 - 400 = 600

Armando kicks a football into the air. The function f(x) = - 7x² + 38x+0.22 models the height of the football from the ground, in feet, with respect to the time x inseconds. Use a graph or table to estimate the time for the ball to return to the ground after being kicked

Hi there. To solve this question, we'll have to remember some properties about parabolas and its roots.

Given the function:

[tex]f(x)=-7x^2+38x+0.22[/tex]that models the height of the football Armando kicked from the ground, in feet, with respect to time x in seconds, we have to determine:

The time it takes for the ball to return to the ground after being kicked.

Let's suppose that the ball was kicked from x = 0, since the times x is given in seconds and we can't have negative time.

Before supposing it, in fact we have to determine which moments the ball was at the ground, that is, f(x) = 0. We're finding the roots of the function:

[tex]\begin{gathered} -7x^2+38x+0.22=0 \\ \end{gathered}[/tex]To solve this quadratic equation, remember the general solution to a quadratic equation

[tex]ax^2+bx+c=0,a\text{ not equal to 0.}[/tex]Is given by the formula:

[tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]Plugging a = -7, b = 38 and c = 0.22, we get:

[tex]x=\frac{-38\pm\sqrt{38^2-4\cdot7\cdot0.22}}{2\cdot(-7)}[/tex]Multiply the values, square the number and add inside the radical.

[tex]x=\frac{-38\pm\sqrt{1444-6.16}}{-14}=\frac{-38\pm\sqrt{1437.84}}{-14}[/tex]Separing the solutions and calculating their values, we get

[tex]\begin{gathered} x=\frac{-38\pm37.92}{-14} \\ \\ x_1=\frac{-38+37.92}{-14}=0.006 \\ \\ x_2=\frac{-38-37.92}{-14}=5.423 \end{gathered}[/tex]In this case, we before had supposed the ball started from x = 0. This is not really necessary because we found that the roots of this functions are contained in the positive x-axis.

To find the time for the ball to return to the ground, we make:

[tex]|x_2-x_1|=|5.423-0.006|=|5.417|=5.417[/tex]Or 5.42 seconds.

Graphically, what we have is:

Please help! Will give brainliest!

**Step-by-step explanation:**

[tex]\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }[/tex]

1. Zacarías se tardó un semestre en escribir su proyecto final de 95,234 palabras para un curso universitario.

Zacarías escribió 35,295 palabras el primer mes y 19,240 palabras el segundo mes.

a. Redondea cada valor a la decena de millar más cercana para estimar cuántas palabras escribió

Zacarías durante la parte restante del semestre.

Hmmm this is a though one, im not to sure

The table lists the eight human blood types.It also shows how blood types determine who a person can donate blood to and receive blood from.

X' is the set of blood types that type AB- cannot donate blood to

Y is the set of blood types that type AB+ can donate blood to

From the table, AB- cannot donate blood to:

(This is all the blood types minus the ones that can receive from AB-)

U - {AB+, AB-} =** {A+, B+, A-, B-, O+, O-} = X'**

**Y = {AB+}**

**So the negations:**

**X = {AB+, AB-}**

**Y' = {A+, B+, AB-, A-, B-, O+, O-}**

**And this is our final answer**

This is a Statistics questions please help

Considering the parameters of the** normal distribution** for American men's heights, it is found that:

**a) **The percentage greater than 74 inches is: 2.5%.

**b)** The proportion between 64 and 71.5 inches is: 0.815.

The **z-score** of a **measure X** of a variable that has **mean **[tex]\mu[/tex] and **standard deviation **[tex]\sigma[/tex] is given by the following equation:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-scoreIn the context of this problem, the **mean **and the **standard deviation** of the heights of American men are given as follows:

[tex]\mu = 69, \sigma = 2.5[/tex]

The proportion of heights that is **greater **than 74 inches is one subtracted by the p-value of Z when X = 74, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (74 - 69)/2.5

Z = 2.5

Z = 2.5 has a p-value of 0.9772.

1 - 0.9772 = 0.0228, hence the **percentage **is of 2.28%. Using the **Empirical Rule,** this percentage is rounded to 2.5%.

The **proportion **of heights **between **64 inches and 71.5 inches is the p-value of Z when X = 71.5, subtracted by the p-value of Z when X = 64, hence:

**X = 71.5:**

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (71.5 - 69)/2.5

Z = 1

Z = 1 has a p-value of 0.84. (rounded with the Empirical Rule).

**X = 71.5:**

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (64 - 69)/2.5

Z = -2

Z = -2 has a p-value of 0.025. (rounded with the Empirical Rule).

Hence the **proportion **is:

0.84 - 0.025 = 0.815.

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f(x)= {4-3x if x [tex]\leq[/tex] 1

{2x if 1
{5x+5 if x[tex]\geq[/tex]9

f(-4)=?

f(1)=?

f(5)=?

f(7)=?

f(9)=?

All **the values** are;

1) f (-4) = 16

2) f (1) = 1

3) f (5) = 10

4) f (7) = 14

5) f (9) = 50

**What is substitution method?**

Find the value of any one of the **variables **from one equation in terms of the other **variable **is called the **substitution method.**

Given that;

The **function **is;

f (x) = { 4 - 3x ; if x ≤ 1

= { 2x ; if x > 1

= { 5x + 5 ; if x ≥ 9

Now, Find all **the values** as;

Since - 4 is belong in x ≤ 1, so we get;

f (x) = 4 - 3x

f (-4) = 4 - 3 × -4

f (-4) = 4 + 12

f (-4) = 16

And, **Number **1 is belong in x ≤ 1, so we get;

f (x) = 4 - 3x

f (1) = 4 - 3 × 1

f (1) = 4 - 3

f (1) = 1

And, **Number **5 is belong in x > 1, so we get;

f (x) = 2x

f (5) = 2 × 5

f (5) = 10

And, **Number **7 is belong in x > 1, so we get;

f (x) = 2x

f (7) = 2 × 7

f (7) = 14

And, **Number **9 is belong in x ≥ 9, so we get;

f (x) = 5x + 5

f (9) = 5 × 9 + 5

f (9) = 50

Thus, All **the values** are;

1) f (-4) = 16

2) f (1) = 1

3) f (5) = 10

4) f (7) = 14

5) f (9) = 50

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See photo need help will give brainliest!!!

**Answer:**

**Step-by-step explanation:**

Angles A and B, same as angles C and D are **vertical angles** and h**ave equal measure **according to definition of vertical angles:

Find the measure of angles C and D.

∠C and ∠D are **supplementary **with ∠A or ∠B, so the **pair sums to 180°**.

So the **angle measures** are:

negative 37 over 24 times j minus 17 over 12

negative 37 over 24 times j plus 17 over 12

43 over 24 times j plus 1 over 12

negative 43 over 24 times j plus negative 1 over 12

Simplify the expression.

the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

negative 37 over 24 times j minus 17 over 12

negative 37 over 24 times j plus 17 over 12

43 over 24 times j plus 1 over 12

negative 43 over 24 times j plus negative 1 over 12

Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?

19.5b + 1.5

−19.5b − 1.5

−19.5b − 6.9

19.5b − 6.9

The **expression** equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is -19.5b - 6.9.

Given expression:

3(−4.5b − 2.1) − (6b + 0.6)

To simplify the expression open the brackets and multiply the terms,

-13.5b − 6.3 − 6b - 0.6

Now, combine the like terms together and add them,placing a negative sign in front of the terms

-13.5b − 6b - 0.6 - 6.3

-19.5b - 6.9

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For each relation decide whether or not it’s a function(This is ONE question I do on my math program with this is considered one question)

Relation 1:

It is a function because one point of its range (axis y) have two points in the domain (axis x).

Relation 2:

It is not a function because one point in the domain have two points in the range:

Relation 3:

It is a function because each point in the domain have a different point in the range.

Relation 4:

It is not a function because the point -7 in the domain have three values for the range:

**The answer is, the relations: 2,4 are not functions and the functions 1, 3 are functions.**

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