Solve.

log6x+log6(x−1)=1

Answer:

11.1x²

Step-by-step explanation:

The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.

It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.

First term = 7

The common difference between the numbers include:

= Second term - First term

= 4 - 7

= -3

The nth term will be:

= a + (n - 1)d

where a = 7

d = -3

= a + (n - 1)d

= 7 + (n - 1) -3

= 7 -3n - 1

= 6 - 3n

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Answer:

22x + 4y + 13xy

Step-by-step explanation:

First, you add the like terms

(the terms that contain the same variable which is raised to the same power)

6x + 5x + 11x= 22x

2y + 2y = 4y

13xy

Then since nothing else shares the like terms you leave it as 22x + 4y + 13xy

Answer and Explanation:

y = 5x is a line with a constant of proportionality of 5 (it goes through the origin). It goes through quadrants I and III.

See the attached image for a graph.

The answers are subtraction, subtraction, and addition property of equality

There are 9 properties of equality, which are addition, subtraction, multiplication, division, distributive, substitution, reflexive, symmetric, and transitive. In this case, we are using the first 2. In algebra, whatever you do to one side has to be done to the other, in the case of the first problem x is being subtracted on both sides, which represents the definition of the subtraction property (If a = b, then a – c = b – c, a is the one side of the equation, b is the other side, and c is the subtraction done on both sides). The first one is the subtraction property of equality, then, and if we look at problem 2, the same thing is done (apart from that it is done with a number, which doesn't affect the property), so it is also the subtraction property.

Now the last problem seems to do the opposite, it seems to be adding instead, in this case, adding 1 on both sides. This follows the definition of the addition property of equality (If a = b, then a + c = b + c) since it is adding c (1) on both sides. So the last problem is the addition property of equality.

Answer:

(0,2)

Step-by-step explanation:

x  = [tex]\frac{2-2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  We are finding the average of the x values (2 and -2)

y = [tex]\frac{-5+9}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2  we are finding the average of the y values (-5 and 9)

The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14

Points (2, -5) and (-2, 9).

let (x, y) be A

Let (2, -5) = (-2, 9) = B

Ax = Bx (length)

Squaring on both sides

Ax² = Bx²

By distance formula

(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²

x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81

8x + 28y = -56

by multiplying both sides by 4

2x + 7y = -14

This is the relationship between the points (x, y) which is equidistant to A and B.

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Answer: 68.75

Step-by-step explanation: I did the math myself so it may not be correct, but it's at least very close.

Answer:

the correct answer is D:68.75

When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.

The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.

A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.

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Step-by-step explanation:

We only combine like terms when the like terms are alike

To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term. Example: 7x+3x both are like terms we can combine together and write 10x.

The factored expression of the expression given as (a + b)^2 = 4 is (a + b + 2)(a + b - 2) = 0

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(a + b)^2 = 4

Express 4 as 2^2

So, we have

(a + b)^2 = 2^2

Rewrite as

(a + b)^2 - 2^2 = 0

Apply the difference of two squares

So, we have

(a + b + 2)(a + b - 2) = 0

Hence, the equivalent expression of the expression given as (a + b)^2 = 4 when it is factored is (a + b + 2)(a + b - 2) = 0

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Equation represents a line which is parallel to the line

y = 1/2x +3 with (2,5)

Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2

Use Point-Slope equation [y-y1 = m(x-x1)]

with the given point (2,5): y-

5=1/2(x-2)

Distribute the 1/2: y-5=1/2x-1

Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5

Answer:

y=1/2x+4

A parallel equation can be located in what way?

In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.

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Answer:

Step-by-step explanation:

9 divided by 1557

(Tell me if you mean 1557 divided by 9 lol the wording is strange :] )

See screenshot!

Answer:4/3-2

Step-by-step explanation:

Answer:

Similarity: Both are odd numbers

differences:  3 > 1  

Similarity: Both are Consecutive natural numbers

differences: 3 is an odd number and 4 is an even number

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The mass of ingredient is given by 66g, 45g, 100g, 150g.

What is mass?

Mass is a parameter of measurement that calculates how much matter is contained in a body.

Mass is a physical quantity. Mass is measured in terms of the weight of a body. Gram, kilogram, and pounds are some standard mass units to measure it. The SI unit of mass is the kilogram; however, smaller objects are measured in grams.

Given, the ratio of the ingredients by mass as 2:2:1.

Let x be the mass of the ingredients.

A) total mass is given by 330g

therefore, 2x+2x+1x = 330

5x = 330

x = 330/5

x = 66

Hence the mass of oat = 2(66) = 132g

mass of cereal = 2(66) = 132 g

mass of nuts = 66g

B) 2x+2x+1x = 210

5x = 210

x = 210/5

x = 42g

Hence,  the mass of oat = 2(42) = 84g

mass of cereal = 2(42) = 84 g

mass of nuts = 84

C) 2x+2x+1 = 500

5x = 500

x = 100

hence,  the mass of oat = 2(100) = 200g

mass of cereal = 2(100) = 200 g

mass of nuts = 100g

D) 2x+2x+1 = 750g

5x = 750

x = 750/5

x = 150

Hence, the mass of oat = 2(150) = 300g

mass of cereal = 2(150) = 300 g

mass of nuts = 150g

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Using the binomial distribution, it is found that:

The probability of no correct answers is 0.1678 = 16.78%.

For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:

n = 8, p = 0.2.

The probability of no correct answers is P(X = 0), hence:

P(X = 0) = (0.8)^8 = 0.1678.

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The interval of x-values over which the function is increasing is (-3 , -1)

A law that connects two variables—the dependent and the independent variables—is known as a function.

A function's range and domain are always specified.

The x and y values are:

-6      -34

-5       3

-4      -10

-3      -11

-2      -6

-1        -1

0        -2

1        -15

It is necessary to identify the range of x-values across which the function increases.

The function is not rising in this interval, hence the first option is (-6, -3).

The function is rising in this range, hence the second alternative is (-3, -1).

The function is not rising in this interval, hence the third alternative is (-3, 0).

The function is not rising in this period, hence the fourth alternative is (-6, -5).

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The value of the expression is [tex]-2x^2[/tex]-8x + 6.

Given expression:-

[tex](2x^2-5x+4)-(4x^2+3x-2)[/tex]

We have to find the value of the given expression.

We know that, while subtracting quadrating equations, we subtract like terms from like terms.

Like terms

Like terms are those that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only we can combine like terms.

For example : While adding (5x + 3) and (4x - 5), we will add 5x to 4x and 3 to -4 to get the answer that is 9x - 1.

Hence, we can write,

([tex]2x^2-4x^2[/tex]) + (-5x -3x) + (4 -(-2)) = [tex]-2x^2[/tex] -8x + 6.

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C x -300 is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied

We are given that an expression  models the final price of television set with an instant rebate in a state that charges a sales tax.

0.07x+(x-300)

The sale tax in on the original price .

We have to find an expression that represents the price of the television set after the instant rebate is applied but before the tax is applied.

Let x be the original price of television.

Instant rebate is subtracted from original price x.

Then , the cost of the television set=x-300

In the given expression 0.07 x is sales tax. where  tax is 7 %  on the original price x.

Sales  tax is  added to the  price of television set.

Hence, option C is true and answer is C x -300

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With the two solutions, the quadratic equation is x^2 - 11x + 10 = 0

From the question, we have:

Number of solutions = 2

Variable = x

Where the solutions are

1 and 10

This means that

x = 1 and x = 10

Rewrite the above solutions as

x - 1 = 0 and x - 10 = 0

Multiply the above equations

(x - 1) * (x - 10) = 0

This gives

x^2 - 11x + 10 = 0

Hence, the quadratic equation in standard form is x^2 - 11x + 10 = 0

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Answer: Heres your answer! I hope we can be friends!

Step-by-step explanation: The answer for A is the specified rate fro 70+66, which would be 126x2 is 166. B as derivative would be your preference! I hope this helped have a good day!

Answer:

m<2= 2x+6

Step-by-step explanation:

so you have +6 or six more than 2x or twice than m<1 so therefore m<2= 2x+6

The expression after applying the distributive property is: (-3.6)(-2) + (-3.6)(-7).

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

The distributive property states that when the sum of two (2) or more addends are multiplied by a specific number, the same output would be produced as when each addend is multiplied respectively by the number, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

x(y + z) = xy + xz.

By applying the distributive property of multiplication to the given expression, we have the following expression:

-3.6(-2 + (-7)) = (-3.6)(-2) + (-3.6)(-7).

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Answer:

4 x 10^7 i.e. 40000000

Step-by-step explanation:

(4x10^7) is obtained by multiplying (5x10^2) by (8x10^4).

The equation can be solved by multiplying the coefficients (5 and 8) first, adding the exponents (2 and 4), and writing the result in scientific notation:

(5 x 8) x 10^(2 + 4) = 40 x 10^6 = 4 x 10^7.

The probability of selecting two lemon filled donuts in a row is 7/92.

Probability is used to determine the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. If it is certain that the event would happen, the probability value would be 1. If it is certain that the event would not happen, the probability value is 0.

The donuts are picked without replacement because the donut are eaten as they are picked.

Probability = (number of lemon filled donuts / total number of donuts) x [(number of lemon filled donuts / total number of donuts) - 1]

(7/24) x (6/23) = 7/92

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Answer: linear equation

Step-by-step explanation:

because x is not squared

Answer:

1. given

2. corresponding angle theorem

3. vertical angle theorem

4. transitive

Step-by-step explanation:

1. it is given because the question supplies the fact at the top above the diagram called "Given:"

2. corresponding angle theorem: "when a line intersects 2 parallel lines, then the corresponding angles in the 2 regions of intersection are congruent" (also look at correspond_screenshot, the first image)

3. vertical angle theorem: "when two straight lines intersect, they form two sets of linear pairs with congruent angles" (also look at vertical_screenshot, the second image)

4. transitive: since we now know <2 ~= <1 ~= <3, we can say <2 ~= <3

("If any segments or angles are congruent to the same angle, then they are congruent to each other")