simplify the expression and find domain that will make it equivalent to previous expression.

\(\frac{1}{a^{2}+ab } +\frac{1}{ab+b^{2} }\)

The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)

In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.

Now we present the procedure in detail. First, find the equation of the first line:

5 = 4 · m₁ + b₁           (1)

2 = 3 · m₁ + b₁          (2)

(m₁, b₁) = (3, - 7)

Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)

- 3 = 3 · 2 + b₂

b₂ = -3 - 6

b₂ = - 9

The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)

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Answer: The correct answer is B

Answer:

j(10) (÷} =÷9

so let's check 89÷9= 9

Answer:

10.375

Step-by-step explanation:

3/8ths equal 0.375 and then you have ten as the whole number therefore you add the lower number onto the whole number and then you get your answer.

Answer:

The answer to this is B. :D

The integral test is applicable for the series sigman=1 n/1+n2, and we have determined that the series diverges.

To confirm that the integral test is applicable for the series sigman=1 n/1+n2, we need to check that the series satisfies the following conditions:

1. The terms of the series are positive: This is true since n/1+n2 is always positive.

2. The terms of the series are decreasing: To check this, we can take the derivative of n/1+n2 with respect to n, which gives:

d/dn (n/1+n2) = (1+n2 - 2n2)/ (1+n2)2

Since the denominator is always positive, we can simplify the expression to:

d/dn (n/1+n2) = (1-n2)/ (1+n2)2

Since n2 is always positive, we have 1-n2 < 1, which means that d/dn (n/1+n2) < 0 for all n >= 1. Therefore, the terms of the series are decreasing.

3. The terms of the series approach zero as n approaches infinity: To check this, we can take the limit of n/1+n2 as n approaches infinity, which gives:

lim n/1+n2 = 0

Since the limit is zero, the third condition is satisfied.

Therefore, the integral test is applicable for the series sigman=1 n/1+n2.

To use the integral test, we need to find a function f(x) that is positive, decreasing, and continuous on [1, infinity), and such that f(n) = n/1+n2 for all n >= 1. One such function is f(x) = 1/x. To see this, note that:

f'(x) = -1/x2 < 0 for all x >= 1, so f(x) is decreasing.

Also, f(n) = 1/n = n/1+n2 for all n >= 1, so f(x) satisfies the third condition.

Finally, we can use the integral test to determine whether the series converges or diverges by evaluating the improper integral:

integral from 1 to infinity of 1/x dx

This integral is equal to ln(x) evaluated from 1 to infinity, which is equal to infinity. Therefore, the series diverges.

Therefore, we have confirmed that the integral test is applicable for the series sigman=1 n/1+n2, and we have determined that the series diverges.

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Let x be the cost of the bench. According to the question, the garden table costs $92 more than the bench.

Therefore, the cost of the garden table would be x + $92.

We know that the combined cost of the garden table and bench is $992.

That means we can write the following equation:x + (x + $92) = $992

Simplifying the above expression we get,2x + $92 = $992

Subtracting $92 from both sides of the equation:

2x = $900

Dividing both sides by 2:x = $450

Therefore, the cost of the bench is $450.

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One way to solve 2(a - 1.1) = 5.8 is to divide both sides by 2 and then add 1.1 on both sides to find a =  4.

To solve 5/2b - \(2\frac{3}{4}\) = \(7\frac{1}{4}\) add  \(2\frac{3}{4}\) on both sides, then divide both sides by 2/5 to find b =4.

In the equation, a and b are 4 of the same value.

What is an equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given equation is

2(a - 1.1) = 5.8

Divide both sides by 2:

[2(a - 1.1)]/2 = 5.8/2

(a - 1.1) =2.9

Add 1.1 on both sides:

a = 2.9 + 1.1

a = 4

The second equation is:

5/2b - \(2\frac{3}{4}\) = \(7\frac{1}{4}\)

add  \(2\frac{3}{4}\) on both sides:

5/2b = \(7\frac{1}{4}\)  +  \(2\frac{3}{4}\)

5/2b = 10

Divide both sides by 2/5

b = 10 × (2/5)

b = 4

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Given statement is True.

A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.

The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.

In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.

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Answer:

You turn it into a decimal.

Step-by-step explanation:

3/2= 1.5

Answer:

11.2

Step-by-step explanation:

15x + 32 = 200       Subtract 32 from both sides

15x + 32 - 32 = 200 - 32

15x = 168  Divide both sides by 15

\(\frac{15x}{15}\) = \(\frac{168}{15}\)

x = 11.2

Answer:

i think the answer is x= 11.2

Step-by-step explanation:

15x= 200-32

15x=168

x=168/15

x=11.2

Answer:

x = 60

Step-by-step explanation:

The question is asking

$14,700 * (1 - 8%)^x = $100

$14,700 * (1 - 0.08)^x = $100

$14,700 * (0.92)^x = $100

(0.92)^x = $100/$14,700

log(0.92^x) = log($100/$14,700)

x * log(0.92) = log(0.0068027)

x = log(0.0068027)/log(0.92)

x = 59.85

Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.

Answer:

doing this so other guy gets brainliest

Step-by-step explanation:

The average rate of change for g(x) is greater than that of f(x) over the interval -3 ≤ x ≤ 4.

The average rate of change for both functions f(x) = 2x^2 and g(x) = 3x^2 over the interval -3 ≤ x ≤ 4 can be calculated using the formula:

Average rate of change = (f(b) - f(a)) / (b - a)

where;

For f(x) = 2x^2, the average rate of change over the interval is:

(f(4) - f(-3)) / (4 - (-3)) = (32 - 18) / 7 = 2

For g(x) = 3x^2, the average rate of change over the interval is:

(g(4) - g(-3)) / (4 - (-3)) = (48 - 27) / 7 = 3

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Answer:

31°

Step-by-step explanation:

Answer: tan 47/1 = x/.5 = x = .53618

Step-by-step explanation:

Answer:0

Step-by-step explanation:

Answer:

y = 50x + 500

Step-by-step explanation:

Answer:

me lik tikktokkkkkkkkk

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.......

Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Hope it helps!

mark me as the brainliest.....

Follow me! :)

i love you and Add an independent clause to each dependent clause below to complete

No. The total amount after ordering n drinks can't be arithmetic because arithmetic consists of a number not an expression.

It is given that we have a reward card with which we can earn a free drink after every 12 drink we buy.

We have to find out that is the total amount after ordering n drinks can be arithmetic ?

What do you mean by arithmetic ?

Arithmetic meant to work with numbers by doing processes such as ; addition, subtraction, multiplication, and division.

As per the question ,

We earn a free drink after every 12 drinks.

That meant , if we order n drinks then we will get free drink after every 12 drink.

As we know that ;

Arithmetic only has numbers and it doesn't consist of variables.

The money spent at Biggby is an expression about n and n is a variable , so it can't be considered arithmetic.

Thus , it can't be considered as an arithmetic because arithmetic has only numbers and no variables.

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To evaluate the limit of the given function as (x, y) approaches (0, 0), we can use the following approach:

First, we can try to simplify the expression by factoring out the common factor xy^8 from the numerator. This gives:

xy^8(x^2 + y^4)

Next, we can rewrite the expression using polar coordinates, where x = r cos(θ) and y = r sin(θ). Substituting these values into the expression and simplifying, we get:

lim (r,θ)→(0,0)  (r^3 cos(θ) sin^8(θ)) (cos^2(θ) + sin^8(θ))

Now, we can see that the factor (cos^2(θ) + sin^8(θ)) is bounded between 0 and 1 for all θ, since the terms are either 0 or positive and sum to 1.

Therefore, we can focus on evaluating the limit of the other factor:

lim (r,θ)→(0,0)  r^3 cos(θ) sin^8(θ)

Since |cos(θ)| ≤ 1 and |sin(θ)| ≤ 1 for all θ, we can bound the expression as follows:

|r^3 cos(θ) sin^8(θ)| ≤ r^3

Therefore, by the squeeze theorem, the limit of the expression as (r,θ) approaches (0,0) is 0.

In conclusion, the given limit is equal to 0.

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a) the margin of error is 1.675. b) the sample mean is 22.425. c) If the true mean turned out to be 19.45, I would be surprised.

a) The margin of error can be found by taking the difference between the upper limit and the lower limit of the confidence interval and dividing by 2. So, the margin of error is (24.10 - 20.75)/2 = 1.675.

b) The sample mean can be found by taking the average of the upper limit and the lower limit of the confidence interval. So, the sample mean is (24.10 + 20.75)/2 = 22.425.

c) If the true mean turned out to be 19.45, I would be surprised because it falls outside of the 95% confidence interval (20.75, 24.10). This means that there is only a 5% chance that the true mean would fall outside of this interval, so it would be surprising if it did.

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Answer: +6=2−62 its =68

Answer:

\(m = 12\)

Step-by-step explanation:

\(m + 6 = 2m - 6 \\ 2m - m = 6 + 6 \\ m = 12 \\ \\ hope \: it \: helps... \\ pls \: mark \: as \: brainliest\)

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer

The slope of segment AB is equal to the slope of the segment BC.

Explanation

Similar triangles have the same set of interior angles.

And it is one these angles, that determines the slope of the line segment AB or BC.

For the two triangles, that angle is the same because they are similar triangles.

So,

The slope of segment AB is equal to the slope of the segment BC.

Hope this Helps!!!

La diferencia en gramos entre 45,67 gramos de harina y 13,4567 gramos de sal es de 32,2133 gramos.

Para calcular esta diferencia, simplemente resta la cantidad de harina de la cantidad de sal: 45,67 - 13,4567 = 32,2133.

The difference in grams between 45.67 grams of flour and 13.4567 grams of salt is 32.2133 grams.

To calculate this difference, simply subtract the amount of flour from the amount of salt: 45.67 - 13.4567 = 32.2133.

A gram is a unit of mass in the International System of Units (SI) equal to one one thousandth of a kilogram. A gram is a very small amount of mass and is used to measure very small objects or quantities of material. For example, a small metal paperclip has a mass of around one gram [2]. Grams are also used to measure the mass of certain foods, such as sugar or butter, and to measure the mass of a package or container of a particular material.

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Answer:

44 i believe

Step-by-step explanation:

Answer:

2,3,5,then the last one

Step-by-step explanation:

Answer:

1.The third one

2. The last one

3. The second one

4. The fifth one

Step-by-step explanation: