7a-8-12a+4 equivalent funtion?

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Use the chain rule:

\(\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}\)

Answer: 2 kg

Step-by-step explanation:

The expression for the total amount of sales the store makes will be:25s + 28.8p

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.

Let sneakers = s

Let sandals = p

An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).

= 25s + 28.8p

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The solution of the inequality 4(j - 2) > 4(6 - 3j) is greater than 2. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The set is given below.

S: {-2, 2, 12, 24}

The inequality is given as,

4(j - 2) > 4(6 - 3j)

Simplify the inequality, then we have

4(j - 2) > 4(6 - 3j)

4j - 8 > 24 - 12j

4j + 12j > 24 + 8

16j > 32

j > 32 / 16

j > 2

The solution of the inequality 4(j - 2) > 4(6 - 3j) is greater than 2. Then the correct option is B.

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Answer:

The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Step-by-step explanation:

We know the slope-intercept form of line equation is

y = mx+b

where m is the slope and b is the y-intercept

Given the points

Finding the slope between (-8,-5) and (-8,-9)

(x₁, y₁) = (-8,-5)

(x₂, y₂) = (-8,-9)

slope = m = (y₂-y₁) / (x₂-x₁)

                = -9 - (-5) / -8 - (-8)

                = -9+5 / -8+8

                = -4 / 0

                = ∞

Thus, the slope = m = ∞

In other words, whatever the value of y is, the x-value always remains constant.

In other words, the line will be vertical and the slope of a vertical line will be undefined.

Thus, the equation of this line is:

x = -8

The line graph is also attached.

Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Answer:

the answer is

\(1.8\pi \: or \: 5.6548667765\)

Step-by-step explanation:

so the equation to find arc length is A=

\(\pi \: d \frac{m}{360} \)

1. find the diameter by multiplying the radius by 2 to get 10.8

2. plug in the diameter and m stands for the angle measurement, in your case 60

3. when you solve you should get 1.8 pie or 5.6548667765

Answer:

The correct answer is 1.8 pi

Step-by-step explanation:

Verified by correct test results.

Answer:

128

Step-by-step explanation:

32 ÷ 4• 4 ÷ 2 • 2

8 .4.2.2

128

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Given that they are age 55 or older, it is discovered that there is a (E) 0.8181 = 81.81% probability that the person said no.

Simply put, probability refers to the likelihood that something will occur.

If we don't know how an event will turn out, one can discuss the probability or likelihood of several events.

Statistics is the study of occurrences that match a probability distribution.

So, as 36 out of 44 adults aged 55 or older chose not to answer the question, the probability is given by:

p = 36/44 = 0.8181

Therefore, given that they are age 55 or older, it is discovered that there is a (E) 0.8181 = 81.81% probability that the person said no.

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Answer:

0.375

Step-by-step explanation:

3/2 equals 1 and a half, and 1 and a half divided by 4 will get you 0.325

Answer:

4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1.

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars

We are given that the daily service charges are 0.5 dollars

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars.

We are given that the daily service charges are 0.5 dollars.

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5.

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Answer:

10 4/6 -> 10 2/3

Step-by-step explanation:

simpliest form is the second option :)

Answer:

114.29

Step-by-step explanation:

Answer:1.97

Step-by-step explanation:

Answer:

1.97

Step-by-step explanation:

The arrow will hit the ground when the height is 0. We need to solve the quadratic equation:

\(-16x^{2} +30x+3=0\)

Solving the quadratic equation gives two solutions −0.10 and 1.97 because we know the answer should be a positive number of seconds we can conclude that the object will hit the ground at 1.97 seconds.

Part a

Part b

f(2)

For x=2 the equation of the function is

f(x)=4x-3

substitute

f(2)=4(2)-3

f(4)

For x=4 the equation of the function is

f(x)=x^2

f(4)=4^2

Part c

interval (-infinite, infinite)

AnswerAnswer:Ten

My ans is 10

Step-by-stepStep-by-steptenhundredte

Answer:

10

Step-by-step explanation:

10/2.5=4 so 10 is the answer

200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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9514 1404 393

Answer:

  C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2

Step-by-step explanation:

The set of polynomials is closed under all basic arithmetic operations except division. The reciprocal of a (non-constant) polynomial is not a polynomial.

The division example shown in choice C illustrates the set is not closed under division.

Answer:

57 years old

Step-by-step explanation:

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

368

Step-by-step explanation:

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320

Answer:

A

Step-by-step explanation: