Amad said, "3n is always greater than n + 3." Do you agree with him?
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

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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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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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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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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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:

Next, we plot the points

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

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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

Answer:

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

Step-by-step explanation:

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

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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Given

Answer

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

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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answer: solutions is x = - 2

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:

Answer:

(-40)

Step-by-step explanation:

therefore, 3x0=0

(6x8)+k=0

40+k=0

k=0-40

k=(-40)

Answer: 47

Step-by-step explanation:

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;

Given 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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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

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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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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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

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;

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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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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Answer: its 243

Step-by-step explanation:

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

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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Answer: 625/12

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

Mark branliest <3

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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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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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.

        Formula: x = -9.

       Location (d) = 10

        (x)=0 Distance between x's

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

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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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