O Yes, because multiplication always gives a larger answer than addition.

O Yes, because n must be a positive number.

O No, because multiplication is not the opposite of addition.

O No, because 3n could be equal to or less than n + 3.

Submit

No, because 3n could be **equal to** or **less than** n + 3.

Therefore, the last option is the correct answer.

Amad's statement is not true as when n ≤ 3/2, 3n ≤ n + 3.

Given:

According to Amad, "3n is always greater than n + 3."

We can prove this statement false by using a **counterexample** easily,

For instance, n = 2/3

So, 3n = 2

And n + 3 = 2/3 + 3 = 11/3

Here, we can see that 3n is not always greater than n + 3.

If, 3n ≤ n + 3

3n - n ≤ 3

2n ≤ 3

n ≤ 3/2

Hence, when n ≤ 3/2

3n ≤ n + 3

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Solve for x

Your answer must be simplified

-3 < x - 10

The simplified **inequality **is x > 7.

**What is an inequality?**

An **inequality **in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. There are multiple notations used to denote various types of** inequalities**: (i)The symbol a b indicates that an is less than b. (ii)A > b indicates that an is greater than b. In either scenario, a and b are not equal. These are characterized as stringent **inequalities** because an is either strictly less than or strictly bigger than b. Equivalence is not allowed. In contrast to rigorous **inequalities**, there are two forms of non-strict **inequality** relations.

The given **inequality** -3 < x - 10

or, -3 + 10 < x

or, 7 < x

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ms. smith sharpened 135 pencils. her students used 88 of them how many sharpened pencils does Ms. smith have left.

**Answer: 47**

**Step-by-step explanation:**

Can somebody tell me the answer to 1293/18?

The remainder of the answer to 1293/18 needs to be written as a fraction.

The result of the 1293/18 in** mixed fraction** is [tex]71\frac{5}{6}[/tex] and 5 is the remainder

**The mixed fraction** is a fraction that represented with its quotient and remainder. So generally mixed fraction is a combination of a whole number and a simple fraction.

**Simple fraction** is a fraction that have whole number as numerator and denominator. Top term in the simple fraction is called numerator and bottom term is called denominator

The given expression is

1293/18 = [tex]71\frac{5}{6}[/tex]

Where 71 is the quotient

5 is the** remainder**

6 is the divisor

Hence, the result of the 1293/18 in mixed fraction is [tex]71\frac{5}{6}[/tex] and 5 is the remainder

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factorise this expression as fully as posaible

5x² + x³

**Answer: 625/12**

**U just have to find the roots then the product then eliminate the exponent.**

**Mark branliest <3**

18. Given J(x. -8) and K(-1,-5) and the graph

of line / below, find the value of x so that

JK \\1.

answer: solutions is x = - 2

Which of the following is the graph of (g-f)(x)?

The graph (g-f)(x)=**-4x** complies with the query.

An **edge **denotes the connection between the **x **and **y vertices **and is represented by the pair (**x ,y**). In the examples that follow, **circles** stand in for **vertices **and lines for **edges**.

The **graph **indicates that line generated by function** f(x)** passes through the points** (1,-3)** and** (0,0)** and that line similarly passes through the points** (1,1)** and** (0,0)**.** **

With the use of the formula **Y-Y1 = y2-y1/x2-x1**, we can thus determine the equation of the lines **(x-x2)**

Therefore, the equation of the line produced by the function f(x) y+3= 3-0/0-1 (x-1)

**Function** f(x) Equals 3x since y+3=-3x+3 y=-3x.

the line drawn by the function g(x) has the equation y=x, hence **function **g(x)=x.

We now need to figure out, (g-f) (x) = g(x)- f(x) = -3x-x =** -4x**

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PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U

how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?

It should be emphasized that a relationship is proportional if its **graph **is a line that passes through its **origin**.

If the **graph **of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not **proportional**. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.

If the **graph **of a relationship is a line or ray that goes through the origin, the relationship is **proportional**. If the line or ray does not pass through the origin, it is not proportional. Additionally, if anything is not linear, it is not proportionate.

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11) Increase 763.685 by 0.1

**Answer: its 243**

**Step-by-step explanation:**

The polynomial passes through the

X-intercepts of (-5, 0), (-3, 0), and (1, 0). The end behavior of the graph is down, up.

Finally, it passes through the point of (3, 14).

The** equation of the polynomial** is P(x) = 6.86(x + 5) (x + 3) (x - 1)

Given,

**x intercepts** which the polynomial passes though = (-5, 0), (-3, 0), and (1, 0).

Point = (3, 14).

We have to find the polynomial equation;

A polynomial is defined as;-

P(x) = a(x - c₁) (x - c₂)....(x - cₙ)

Here,

a is a **constant**

c₁, c₂,...cₙ are the zeros of the polynomial

Here,

-5, -3 and 1 are the zeros of the given polynomial

(x + 5), (x + 3) and (x - 1) are the factors of the given polynomial.

Then the equation of polynomial be like;

P(x) = a(x + 5) (x + 3) (x - 1)

This polynomial passes through **point** (3, 14)

That is,

14 = a(3 + 5) (3 + 3) (3 - 1)

14 = a x 8 x 6 x 2

14 = 96a

a = 96/14

a = 6.86

Substitute this in **equation of polynomial;**

That is,

P(x) = 6.86(x + 5) (x + 3) (x - 1)

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Fill in the blanks below.

Find the slope of the line passing through the points (6, 4) and (6, -7).

slope:

Find the slope of the line passing through the points (-9,-5) and (-9, 5).

slope:

The entered points (6,4) and (6,-7) belong to a **vertical line**, There is no slope and The entered points (-9,-5) and (-9,5)belong to a** vertical line**. There is no slope.

Formula: x = 6.

**Angle (θ)=90°**

Location (d) = 11

(x)=0 Distance between x's

d = (y2 + x2) = (-112 + 02) = 121 = 11 is the distance between y's (y)=11.

A vertical line is formed by the points entered. Nothing slopes.Formula: x = -9.

Location (d) = 10

(x)=0 Distance between x's

Distance between y's (d) = y2 + x2 = 102 + 02 = 100 = 10

A vertical line, on the other hand, will have an ill-defined slope since the x-coordinates are constant. As a result, there will be a division-by-zero error when using the formula. To more learn about **coordinates **refers to:

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Solve for x.

√x + 20 = 9

**Answer:**

x = 61

**Step-by-step explanation:**

sqrt = square root

sqrt(x + 20) = 9 square both sides to cancel out sqrt

x + 20 = 81 subtract 20 to get x alone

x = 61

A small publishing company Is planning to publish a new book. The production costs will Include one-time fixed costs (such as editing) and varlable costs (such as printing). The one-time fixed costs will total $49,590. The varlable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $20.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

4408 books must to be produced so that **production costs **is equal to sales money.

**Production costs** refers to the direct and indirect costs that come from manufacturing a product. Production costs usually include **expenses,** such as labor, raw materials and manufacturing supplies. Cost of products sold are the **production costs** incurred on goods that is actually sold in a certain specified period

Let the no. of books= X

Cost = 9.25X + 49590

revenue = 20.50X

20.50X = 9.25X+ 49590

20.50X - 9.25X = 49590

11.25X = 49590

X = 4408

4408 books must to be produced so that production costs is equal to sales money

We can Check by:

cost = 9.25(4408) + 49590

= 40774+ 49590

cost = 90364

revenue = 20.5(4408)

revenue = 90364

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Last year, Josh biked b miles. This year, he biked 430 miles. Using b, write an expression for the total number of miles he biked.

**Answer:430 + b**

**Step-by-step explanation:Last year he biked b miles. This year he biked 430 miles. Add the two to get your answer. Hope this helps!**

**Answer: **b+430= total number of miles biked

**Step-by-step explanation:**

What is the rule for 6,8,12,18

**Answer: add 2 to the addends and then add that to the number itselx which would be like 6+2=8, 8+4=12, 12+6=18, 18 +8=26, 26+10=36, 36+12=48, so on and so forth**

**Step-by-step explanation: brainliest please? i could really use it**

**Answer:**

you add 4 each time

**Step-by-step explanation:**

you need to add 4 to the number you have each time

Two more than the quotient of a number and 4 is equal to 9.

The condition "two more than the **quotient** of a** number **and 4 is equal to 9" gives the number 28.

Each component of a division equation has its own name.

The following describes the relationship between such four parts:

Dividend = Divisor x Quotient + Remainder

For the given problem;

Two more than the **quotient **of a number and 4 is equal to 9.

Let the number be n;

n/4 + 2 = 9

Simplifying;

n/4 = 9 - 2

n/4 = 7

n = 7×4

n = 28

Thus, the value of the **number **is found as 28.

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A sample of ore is found to be 0.0094 % silver and 0.037 % copper. What is the percentage of matter in the ore that is

neither silver nor copper? Round your answer to the nearest ten thousandth.

The proportion of the **ore's **composition that is **neither silver nor copper **is 99.9536 %.

**What is percentage ?**

**Percentage **, which is a relative figure used to denote **hundredths** of any **quantity**. Since one percent (symbolized as 1%) is equal to one **hundredth** of something, 100 **percent **stands for everything, and 200 percent refers to twice the **amount specified**.

The ore is found to be 0.0094 % **silver **and 0.037 % **copper**.

The percentage of matter in the ore that is

**neither silver nor copper** is = 100% - 0.0094 % - 0.037 %

= 99.9536 %

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Find the value of k for which x=0 and y=8 is a solution of 3x 6y+k=0

**Answer:**

**(-40)**

**Step-by-step explanation:**

therefore, 3x0=0

(6x8)+k=0

40+k=0

k=0-40

**k=(-40)**

Plot (−3 1/2, −1 1/4) on the coordinate plane.

The **point **is located at 3 1/2 points to the left of the origin and 1 1/4 points below the origin

The **coordinate **of the **point **on a coordinate plane is given as

Point = (-3 1/2, -1 1/4)

Rewrite the above **coordinate** as follows:

(x, y) = (-3 1/2, -1 1/4)

Split the **coordinates **into x and y coordinates

So, we have the following **equations**

x = -3 1/2

y = -1 1/4

The above means that:

(-3 1/2, -1 1/4)Next, we plot the **points**

See attachment for the plot of the points on a **coordinate plane**

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The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet. a. solve the formula for d. b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.

The water pressure on a** submerged** object is given by P = 64d, then the

a. The answer to the subject of the formula, "d," is d = P/64.

b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

Independent variableDependent variableGiven the role as;

P = 64d

Where;

P stands for pounds per square foot of pressure.

d represents the object's depth in feet.

Let's now make the variable "d" the focus of the formula.

The coefficient of the** variable** "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.

(a) We get,

P/64 = 64d/64

d = P/ 64

(b) P equals 672 pounds per square foot if there is pressure.

When the variable's value is substituted into the formula, we get;

d = P/64

Then,

d = 672/64

Discover the quotient,

d = 10. 5 ft.

The value is 10.5 feet .

Therefore,

a. The answer to the subject of the formula, "d," is d = P/64.

b. The depth of a submerged object if the **pressure **is 672 pounds per square foot is 10. 5 feet.

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A turkey casserole (30 servings) uses 3.75 pounds of turkey breast. To scale the recipe for 50 servings, how much turkey would be needed?

A **turkey casserole** (30 servings) uses 3.75 **pounds **of the turkey breast. To scale the recipe for 50 servings we need 6.75 pounds turkey.

The **currency **of the United Kingdom and nine of its affiliated territories is called **sterling **(stg; ISO code: GBP). The primary unit of sterling is the pound (sign: £), while the term "**pound**" is also frequently used to refer to the **British pound** or pound sterling in foreign settings.

The oldest currency that is still in the circulation and has been used continuously since its origin is **sterling**. After US **dollar**, the **euro**, and the Japanese **yen**, it is currently the fourth most traded currency on the foreign exchange market. It makes up basket of currencies used to determine the value of IMF special drawing rights along with other three currencies and the **renminbi**. Midway through 2021, sterling is also fourth most-held reserve currency in global reserves.

if 30 servings uses = 3.75 pounds

then, 1 serving = 3.75 pounds/ 30

50 servings = [tex]\frac{3.75}{30} * 50[/tex]= 6.25 pounds

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a city planner wants to build a road perpendicular to D street. What is the slope of the new road?

The** slope **of the new road is zero.

The** slope **of a line is the change in y with respect to the change in x.

In other words, the **slope** of a line is rise over run.

Therefore, the new road the city planner wants to build is perpendicular to the the D street.

(5, 1)(5, 4)

**slope** of D street = 4 - 1 / 5 - 5

**slope** of D street = 3 / 0

**slope** of D street = infinity

An infinite **slope** is simply a vertical line. Therefore, it is only perpendicular to a horizontal line which will have a **slope** of 0. Hence, the new road should have a** slope **of 0.

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Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.

For 47 Go golf and 54 golf game would the **cost** be the same.

Given that -

Go Golf charges -

Ball and club **rental** = $2.50

For 1 game = $4.25 and

Golf Games charges -

Ball and club rental =$3.25

For 2 game = $8.50

Find out - For how many games would the cost be the same?

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75

For per game = $11.75 / 2 = $5.875

For Go golf let game = x and

for golf game let game = y

6.75 x = 5.875y

**Transformation** of the fraction

27/4 x = 47/8 y

After cross multplication

54x = 47y

x/y = 47 / 54

then x = 47

and y = 54.

Hence, The** price** would be the same for both the 47 and 54 golf games.

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If I have .81 gallon and I have 2.41 gallon what is the ratio between the two

**Answer:**

[tex]\frac{81}{241}[/tex]

**Step-by-step explanation:**

multiply both numbers by 100. 241 is prime so you cannot reduce it further.

Distribute the following perfect square: 6x(8x - 9y)² = ?

**Answer:**

384x² - 486xy²

**Step-by-step explanation:**

I think this is the answer all I did us first i solved the brackets then I multiplied them by 6x

Order the function from the least steep slope to the steepest slope.

y=2x-3

y = 4x+0.5

y=-2x+3

y=x+42

y=-0.5x+7

**How are the given functions ordered based on their slopes?**

**1. y = -2x+ 3**

slope =** m= -2 **

tanФ = -2 **-----(1) Least steep slope**

**Ф = -63.4° **

2. **y= 3/4x-3**

slope = **m = 3/4 ------(3)**

tanФ = 3/4

**Ф= 36.9°**

3.** y= 4x+0.5**

slope = **m = 4 ------(5) Steepest**

tanФ = 4

**Ф = 75.9° **

4. **y= x+42**

slope = **m= 1 ------(4)**

tanФ= 1

**Ф= 45°**

5.** y = - 0.5x+ 7**

slop = **m= -0.5 -----(2) **

tanФ = -0.5

** Ф = -26.56° **

**What is a slope?**

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15x=75Write which property of equality you used.

1) Given this equality,

15x = 75 *Divide both sides by 15*

x=5

2) Then we can write that since x = 5 and 15x = 75 we have here is the **Division Property of Equality.**

Because in this case, we divided both sides by 15, which is different from zero to find equivalent equality.

3) So

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.

Third-degree, with zeros of -2,-1, and 5, and a y-intercept of -10.

**Answer:**

y = x³ -2x² -13x -10

**Step-by-step explanation:**

You want a **polynomial** with **x-intercepts -2, -1, and 5**, and a **y-intercept** of **-10**.

A polynomial with zero x = p will have a factor of (x -p). The three given zeros mean factors of the desired polynomial will be ...

p(x) = (x -(-2))(x -(-1))(x -5) = (x +2)(x +1)(x -5)

Expanding this gives ...

p(x) = (x +2)(x² -4x -5) = x³ -2x² -13x -10

This polynomial has a constant of -10, which will be its y-intercept. No additional scaling is needed.

The polynomial function is ...

** y = x³ -2x² -13x -10**

Suppose that y varies directly with x and that y=77 when x=7. What is the value of x when y=55? Responses 50 50 11 11 24 24 5

As y **varies directly **with x, the numerical **value **of **x **when y = 55 is 5.

**Proportional relationships **are relationships between two **variables **where their ratios are equivalent.

A **direct variation **equation is a linear equation in **two **variables.

It is expressed as;

y ∝ x

Hence,

y = k(x)

Where k is **proportionality constant**.

Given that;

y = 77x = 7Proportionality constant k = ?First, we determine the **proportionality constant **of the direct variation.

y = k(x)

77 = k(7)

Divide both sides by 7

77/7 = k(7)/7

k = 77/7

k = 11

Now, we find the **value** of **x **when y = 55

y = k(x)

55 = 11(x)

Divide both sides by 11

55/11 = 11(x)/11

x = 55/11

**x **= 5

Therefore, the **numerical **value of **x **is 5.

Option D)5 is the correct answer.

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Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine x, the number of sets of forks Vani could buy for the restaurant to have enough forks.

48 **sets** of forks Vani could buy for the restaurant to have enough forks.

An **inequality** in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

Given Data

The restaurant needs at least 795 forks. There are currently 315 forks.

If each **set** on sale contains 10 forks

(10 ×(x)) ≥ (795-315)

10x ≥ 480

x ≥ 48

48 sets of forks Vani could buy for the restaurant to have **enough** forks.

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Given F(x) 3x^2+1, G(x) = 2x - 3, H(x) = xF(G(x))

Given

[tex]f(x)=3x^2+1,g(x)=2x-3,h(x)=x[/tex]Answer

[tex]\begin{gathered} f(g(x))=f(2x-3) \\ =3(2x-3)^2+1 \\ =3(4x^2+9-12x)+1 \\ =12x^2+18-36x+1 \\ =12x^2-36x+19 \end{gathered}[/tex]
-2,-14) and (h,28) slope is 6
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a person travels by car from one city to another with different constant speeds between pairs of cities. she drives for 40.0 min at 70.0 km/h, 16.0 min at 75.0 km/h, and 50.0 min at 40.0 km/h and spends 35.0 min eating lunch and buying gas.
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Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 12 hour. At the airport, they exited the car and walked for 34 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 214 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kileys grandmothers house, which was 12.3 miles away.Answer the following questions about Kileys trip. All questions are written in terms of an average rate. Assume that an average rate includes the time that Kiley is at rest (that is, not moving).In this task, you will write the ratio of miles to hours for each leg of Kileys trip. You will then, express the ratio as a decimal number. Next, you will find the unit rate in miles per hour (mph) for each leg of the trip. If your unit rate includes a repeating decimal number, you must indicate which digits repeat (for example, write 0.3when the 3 repeats.) A description of each leg is listed below in parts A through F.
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