At a certain bookstore you get a $5 dollar coupon for every four books you buy. what is the least number of books you can buy to get $15 dollars in coupons.

The simplified equation of the given Arithmetic  function (f- g)(x) is:

-x² + 3x + 7.

Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.

Given:

f(x) = 3x+1

g(x)=x²-6

(f- g)(x) =

Substituting the value we get:

(f - g)(x) = (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

The simplified equation of the given Arithmetic  function (f- g)(x) is = -x² + 3x + 7.

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Hello, the answer is 194.04.

First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.

So the steps to a percentage multiplied to a number are:

1. Convert the percentage to a decimal.

2. Multiply the decimal by the number.

3. You get the answer.

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

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Answer: we have to divide a

This should be done by using a long division method.

multiply x+1 by

Therefore the quotient is

The remainder is 0

Step-by-step explanation: hope this helps

Answer:

2x^3-7x/2 -1

Step-by-step explanation

Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know

Answer:

3524442532 or 3.524442532 * 10 ^9

Step-by-step explanation:

Answer: they have the same absolute value

Step-by-step explanation: -6 and positie 6 are both 6 units from zero

Answer:

is 0 is the right answer of this??

Answer:  The factored answer for 36c - 81 is 9(4c−9)

Step-by-step explanation:

Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.

For the functions in this problem, we have that:

a) The function is exponential, and the table is completed as follows.

b) The function is linear, and the table is completed as follows.

c) The function is exponential and given by:

[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

A function with initial value 1 and where the y-value is computed by multiplied the previous y-value by 5, as in item a, is an exponential function with parameters a = 1 and b = 5, hence the rule is:

[tex]y = 5^x[/tex]

Then:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship is also classified as linear with a intercept of 0. For item b, since each y-value is the x-value multiplied by 5, the rule is:

y = 5x.

Hence the table is:

For item c, when x changes by 1, y is always multiplied by 1/2, and due to the multiplication, the function is exponential and given by:

[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]

The -16 is because when x = 0, y = -16.

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The total change in the stock market from the beginning of the day to the end of the day is -49.75.

According to the statement

We have to find that the change in the stock market.

So, For this purpose, we know that the

The change is the difference between the current price and the last trade of the previous day.

From the given information:

At the beginning of the day the stock market goes up 30 1/2 points and At

The end of the day the stock market goes down 80 1/4 points.

Then

Stock market goes up through points = 30 1/2 = 61/2

Stock market goes down through points = 80 1/4 = 321/4

Then

Change = +61/2 - 321/4

Change  = +30.5 - 80.25

Change = -49.75

So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.

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The y values from:

1. ₋6

2. ₋3

3. 0

4. 3

Given the x values and y value as y = 3x

1. when x = ₋2 then y = 3x

y = 3(₋2)

y = ₋6

2. when x = ₋1 then y = 3x

y = 3(₋1)

y = ₋3

3. when x = 0 then y = 3x

y = 3(0)

y = 0

4. when x = 1 then y = 3x

y = 3(1)

y = 3

therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.

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Answer:

5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.

Step-by-step explanation:

The water level after the rainfall in the Colorado River is 3.35 meters.

The water level after the rainfall can be determined using the mathematical operation of addition.

A mathematical operation changes the output value of some input values.

For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.

The average water level in the Colorado River = 2.55 m

Increase in water level following the large rainfall = 0.8 m

New water level after the rainfall = 3.35 M (2.55 + 0.8)

Thus, the water level after the rainfall in the Colorado River is 3.35 meters.

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-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.

What is a differential equations explain?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

[tex]\frac{-1}{y} = u[/tex]

[tex]\frac{y'}{y^{2} } = u'[/tex]

[tex]xy' - ( 1 + x )y = xy^{2}[/tex]

[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]

xu' + ( 1 + x )u = x

xu' + u + ux = x

 xu = s

u + xu' = s'

s' + s = x

s - x  =t

s' - 1 = t'

t' + 1 + t = 0

dt/dx = - ( 1 + t)

-∫ [tex]\frac{dt}{1 + t} =[/tex]  ∫dx

-ln ( 1+ t ) = x + c

-in ( 1 + s - x ) = x + c

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c

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Answer:  C, I think is correct

Answer: 136, 625,532,413

Step-by-step explanation:

First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.

You have many subjects in order to complete the syllabus of civil services.

The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.

The candidate also has to face interview after clearing both the examinations.

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The value of 11/3 + (-5/6) using the number line is 17/6.

Number line:

The number line is a visual representation of numbers on a straight line.

In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

Here we have to add the values 11/3 + (-5/6) by using the number line.

To solve this one,

First we have to convert the fractions into decimals,

So, the decimal equivalent of

11/3 = 3.6

-5/6 = -0.8

So, the addition of these two is

=> (11/3) + (-5/6)

=> 3.6 + (-0.8)

=> 2.8

The fraction of the number is

=> 2.8 = 17/6.

This can be expressed in the following number line.

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Answer: 22 degrees

Step-by-step explanation:

Since the angle 180° is in the third quadrant, subtract 180° from 202°.

(a) The third term of the sequence is 19.

(b) The term-to-term rule of the new sequence is "subtract 13 and then divide by 6".

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a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.

b) The projectile will hit the ground 4 seconds later of its launch.

Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:

s = - 16 · t² + 64 · t

In the first part, we need to determine when the projectile will reach a height of 20.8 feet:

20.8 = - 16 · t² + 64 · t

16 · t² - 64 · t + 20.8 = 0

(t - 3.643) · (t - 0.357) = 0

The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.

And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:

- 16 · t² + 64 · t = 0

- 16 · t · (t + 4) = 0

The projectile will hit the ground 4 seconds later of its launch.

In the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.

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Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

Answer:

The function is neither odd, nor even

Step-by-step explanation:

It is because an even function is always symmetrical in respect with the y axis

It is because an odd function is always symmetrical in respect with the origin

Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'

We need to write an equation for the given math sentence.

Given math sentence: one fourth times the difference of ten and a variable

Let the variable be 'x'

We rewrite above statement as,

one fourth times the quantity ten minus x

⇒ 1/4 × (10 - x)

so, we get an expression 1/4 (10 - x)

Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

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Answer:

B

Step-by-step explanation:

The y coordinate tells us when we are going up for down.  So the rule would be (x, y + 5)  So, the x coordinate stays the same and the y goes up 5.

(1,2)  The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2)  The 2 is the y coordinate.  It will increase by 5 and become (3,7)

(3,4)  The 4 is the y coordinate.  It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate.  It will increase by 5 and become (1,9)

Using translation concepts, the first graph is the correct one.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the function y = |x - 1| is a shift right of 1 unit of the function y = |x|. For the inequality, all the values above the line, including the line, are marked.

The graph of |x - 1| is triangular positive, with vertex at x = 1, hence the first graph is the correct one.

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Step-by-step explanation:

x1=2 , y1= -8

x2=5 , y2=-6.

distance= rootunder x2-x1 whole square + y2-y1 whole square

=(5-2)whole square + (-6-(-8)) whole square

= root under 9+4

=rootunder 13 units

Answer:

- 2

Step-by-step explanation:

The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.

All the others are values for x so they are inputs to the function

The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.

Given;

According to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.

Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.

Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.

The required function, f(j) is therefore;

f(j) = (8j/2) - 150.

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