Solve the following 2(x + 3) = x - 4

If price p(x) =26(4)^{-x/5}, the revenue when 15 units are sold is equal to $6.09.

From the information provided, the amount of revenue with respect to price that's being generated in this scenario can be calculated by using the following function (expression):

R(x) = x × P(x)

Where:

Since the revenue function, we would simply substitute the value of the unit price and evaluate as follows:

Revenue, R(x) = x × 26(4)^{-x/5}

Substituting the given parameters into the formula, we have;

Revenue, R(x) = 15 × 26(4)^{-15/5}

Revenue, R(x) = 15 × 26(4)^{-3} or (15 × 26)/4³

Revenue, R(x) = 15 × 26(0.015625) or 390/64

Revenue, R(x) = 6.09375 ≈ $6.09.

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Complete Question:

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=26(4)^{-x/5}, find the revenue if 15 units are sold. Round to two decimal places.

The length of triangle AB is 22.5.

Triangle A = 7.5

Triangle B = 15

Whole = 22.5

As per the given question

Figure is made of 2 triangles.

Triangle A

Triangle B

9

7

As it is 2 triangles so

So A = 7.5

      B = 15

The whole is = 15 + 7.5

                             =22.5

Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.

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Answer:

Infinite solutions

Step-by-step explanation:

The equation is,

→ 8x + 16x - 12 = 24x - 12

Let's solve for the value of x,

→ 8x + 16x - 12 = 24x - 12

→ 24x - 24x = -12 + 12

→ [ 0 = 0 ]

Hence, it has infinite solution. Because, all the real numbers are suitable.

Answer:

infinite number.

Step-by-step explanation:

Comment

There is only the same letter (x) on both sides of the equation. None of the xs are raised to any power. The power is 1 for all of them. That being so, there is only ONE solution.

x^2 + 5x + 6 would give 2 solutions because the x is raised to the second power.

x^3 + x^2 + 4x + 9 would give 3 solutions.

Solution

8x + 16x - 12 = 24x - 12 This equation is a little different. Both sides are exactly the same -- 24x - 12. That means that there is an infinite number of solutions.

For example let x = 10

The right side = 240 - 12 = 228

The left side = 8*10 + 16*10 - 12 = 228

You can't come up with a number that will make the left side unequal to the right side.

Answer:

y = 2x + 2

Step-by-step explanation:

(y-y1)/(y2-y1)=(x-x1)/(x2-x1)

(y-6)/(-6-6)= (x-2)/(-4-2)

(y-6)/-12 = (x-2)/-6

y-6 = 2x-4

y = 2x -4 + 6

y = 2x + 2

Total Water Used by a standard flush in a week i.e. 7 days is 22.4 gallons.

What is Multiplication?

In mathematics, multiplying implies adding equal groups. The number of items in the group grows as we multiply.

Solution:

Given that,

The standard toilet uses 1.6 gallons of water per flush

Also, it is flushed twice a day

To Find, Total water used in a week i.e. 7 days

Since, flush uses 1.6 gallons water per flush

Total water used in a day is 2*1.6 = 3.2 gallons

This implies,

Total water used in 7 days = 7 * 3.2 = 22.4 gallons

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Yes, the graph goes through those two points.

What is Graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Explanation for the answer:

The equation can be graphed by plotting the two given points and drawing a line through them. Such a graph is shown in the attachment.

You can graph a line for any linear equation from any two points that fit the equation. So you can use the points (0, -75) and (15, 0) to graph the line representing the situation.

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Answer:

80

Step-by-step explanation:

the mean of a data set is calculated as

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{88+72+68+78+94}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80

Answer:

No solution

Step-by-step explanation:

6x - 5 = 6x + 5
6x = 6x + 10
0 = 10

0 cannot be equal to 10 at anytime, so this equation has no solution

Answer: No solution.

Step-by-step explanation:

  Given:

6x - 5 = 6x + 5

  Add 5 to both sides of the equation:

6x = 6x + 10

  Subtract 6x from both sides of the equation

0 ≠ 10

  Since 0 does not equal 10, there is no solution to this equation.

Margin did the successful candidate win is 5375 - 4300 = 1075.

Given:

In an election for a corporation seat, there were two candidates. A total of 9,791 votes were polled.

116 votes were declared invalid. The successful candidate got 5 votes for every 4 votes his opponent had.

Number of valid votes = 9791 - 116 = 9675.

Let the number of votes of successful candidate = 5x

Let the number of votes of opponent = 4x

5x + 4x = 9675

9x = 9675

divide by 9 on both sides

x = 9675/9

x = 1075

Hence the votes for successful candidate = 5*1075 = 5375.

votes for opponent = 4*1075 = 4300.

Margin by which the successful candidate wins = 5375 - 4300 = 1075.

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What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

The Least number of baseball cards Isabella could have is 49

To solve the problem, the multiples of seven will be necessary to ascertain the one that will:

multiples of 7: 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63....

14 is short of 1 when divided by 5 but it is divisible by 2 without remainder

49 is the least number that fall short of 1 card to make it a multiple of 5 and have a remainder one when divided by 2

Hence the answer is 49

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Answer: 5n - 4

Step-by-step explanation:    

n is the number, 5 times the number is 5n.  4 less means subtract 4.  So the correct expression is 5n - 4

Answer:

give me the question dude......

Step-by-step explanation:

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

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Answer:

Gerald received the higher rate of increase

Step-by-step explanation:

The measure of the line AC is 15√3/2

The measure of the line BC is 15/2

Triangle ABC is the display style for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs, Right triangles follow the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs of a right triangle (a2 + b2 = c2). Special right triangles have extra characteristics that simplify computations involving them. The 3-4-5 right triangle is one of the two most well-known.

Sin 60⁰=x/15

√3/2=x/15

x=15√3/2

The measure of the line AC is 15√3/2

Cos 60⁰= y/15

1/2=y/15

y=15/2

The measure of the line BC is 15/2

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Answer:

see explanation

Step-by-step explanation:

(a)

perimeter (P) is calculated as

P = 2(l + b) ← l is the length and b the breadth

given l = x and P = 20 , then

2(x + b) = 20 ( divide both sides by 2 )

x + b = 10 ( subtract x from both sides )

b = 10 - x

Using Pythagoras' identity in the right triangle

x² + (10 - x)² = 8²

x² + 100 - 20x + x² = 64 ( subtract 64 from both sides )

2x² - 20x + 36 = 0 ( divide through by 2 )

x² - 10x + 18 = 0 ← as required

(b)

solve using the method of completing the square

x² - 10x + 18 = 0 ( subtract 18 from both sides )

x² - 10x = - 18

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 18 + 25

(x - 5)² = 7 ( take square root of both sides )

x - 5 = ± [tex]\sqrt{7}[/tex] ( add 5 to both sides )

x = 5 ± [tex]\sqrt{7}[/tex]

Then

x = 5 - [tex]\sqrt{7}[/tex] ≈ 2.35 ( to 3 significant figures )

x = 5 + [tex]\sqrt{7}[/tex] ≈ 7.65 ( to 3 significant figures )

Graph for the modulus function is as follows.

What is modulus function?

A modulus function is a function that determines a number or variable's absolute value.

Main body:

Given that,

Which graph represents the function f(x) = 4⌈x⌉?

Now,

to represent the graph of Y =  IxI-4 .

So,

Taking x = 0, we get

Y =  IxI -4

Y =  I0I -4

Y = -4

Taking x = 1, we get

Y =  IxI - 4

Y =  I1I -4

Y = -3

Taking x = 2, we get

Y =  IxI - 4

Y =  I2I - 4

Y = -2.

Taking x = -1, we get

Y =  IxI - 4

Y =  I-1I - 4

Y = 1 -4

Y = -3

Taking x = -2, we get

Y =  IxI - 4

Y =  I-2I - 4

Y = -2

Hence the graph for the function is as follows.

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Answer:

n=90/80

Step-by-step explanation:

you make n the subject of the formular

Answer:

2:52

Step-by-step explanation:

Multiply by 2

Solution to the fraction  (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9) = -38

Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects

To simplify the fraction into a simple form the following steps are followed;

Evaluate (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)

(-7 + 3) x 9 + ⅖ x (-1.1 - 3.9)

Add the numbers

(-4) x 9 + ⅖ x (-1.1 - 3.9)

Evaluate the exponent

(-4) x 9 + ⅖ x (-5)

Multiply the number

-36 + ⅖ x (-5)

-36 -10/5

Subtract the number from each other

-36 -10/5

=-36-2

Answer = -38

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Answer: 81.25

Step-by-step explanation:

Answer:

Armando lost 65 coins each level.

Step-by-step explanation:

Given information,

→ Armando lost 975 coins playing his favorite video game.

→ He lost the same number of coins in each of the 15 levels he played.

Forming the equation,

→ 15x = 975

Now required value of x will be,

→ 15x = 975

→ x = 975/15

→ [ x = 65 ]

Hence, he lost 65 coins each level.

Answer: 19.2, 1.7, 15.93, 0.0512

Step-by-step explanation:

We can multiply these straight across but the trick with decimals is that your answer needs to have the same decimal place distance as what you are multiplying. In the first question, we go one decimal place. In the second, we go two decimal places. In the fourth, we go four decimal places.

The cost function for the Acme Corporation is -0.2x² + 100x - 300. a cost function, transfers an event or the values of one or more variables onto a real number that signifies the event's "cost" in real terms.

A loss function, also known as a cost function, is a function used in mathematical optimization and decision theory that transfers an event or the values of one or more variables onto a real number that intuitively represents some "cost" connected to the occurrence. A loss function is the goal of an optimization problem.

The event in question is some function of the difference between the estimated and true values for a particular instance of data, and in statistics, parameter estimation is typically done using a loss function.

Given that the profit function is

p(x) = 0.5x^2 + 250x+300

also given that the revenue is given as

r(x) = 0.3x^2 + 150x

we know that profit= revenue - cost

hence cost = revenue-profit

cost = r(x) -p(x)

cost=  0.3x^2 + 150x-(0.5x^2 + 250x+300)

cost=  0.3x^2 + 150x-0.5x^2 - 250x-300

collect like terms

cost=0.3x^2-0.5^2+150x-250x-300

The cost function for the Acme Corporation = -0.2x^2-100x-300

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Answer:

The last number is 4

Step-by-step explanation: