How to solve this question ????
Help me please

Answer:

Larry must mow approximately 25 lawns before he starts making a profit

Step-by-step explanation:

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

C is the answer. Because 9-7=2

The solution to the given question is given below:(a) f(x) = 3x^2+4/x^2+2To differentiate the given function, we will use the quotient rule of differentiation.

which is given by,(f(x)/g(x))'=[f'(x)g(x)-f(x)g'(x)]/[g(x)]2Now, putting the given values into the formula, we get,f(x) = 3x2+4/x2+2Let f(x) = 3x2+4 and g(x) = x2+2Now,f'(x) = d/dx[3x2+4] = 6xg'(x) = d/dx[x2+2] = 2xAfter substituting all the values in the quotient rule, we get,(f(x)/g(x))'=(6x(x2+2)-2x(3x2+4))/(x2+2)2=(-6x^3-8x+12x^3+16x)/[x^4+4x^2+4] = (6x^3+8x)/[x^4+4x^2+4]Hence, f'(x) = (6x^3+8x)/[x^4+4x^2+4].Therefore, the required derivative of the given function is (6x^3+8x)/[x^4+4x^2+4].(b) f(x) = (x2 - 7x)12To differentiate the given function, we will use the chain rule of differentiation which is given by, d/dx[f(g(x))] = f'(g(x)).g'(x)Now, putting the given values into the formula, we get,Let f(x) = x^12 and g(x) = x2-7xThen,f'(x) = 12x^11g'(x) = d/dx[x2-7x] = 2x-7After substituting all the values in the chain rule, we get,d/dx[f(g(x))] = f'(g(x)).g'(x) = 12(x2-7x)11.(2x-7)Therefore, the required derivative of the given function is 12(x2-7x)11.(2x-7).(c) f(x) = x^4√6x+5To differentiate the given function, we will use the product rule of differentiation which is given by, (fg)' = f'g + fg'Now, putting the given values into the formula, we get,Let f(x) = x^4 and g(x) = √6x+5Then,f'(x) = d/dx[x4] = 4x3g'(x) = d/dx[√6x+5] = 3/√6x+5After substituting all the values in the product rule, we get,(fg)' = f'g + fg' = (4x3).(√6x+5) + (x^4).(3/√6x+5)Hence, f'(x) = (4x3).(√6x+5) + (x^4).(3/√6x+5).Therefore, the required derivative of the given function is (4x3).(√6x+5) + (x^4).(3/√6x+5).

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The derivatives of the functions of the differentiation of the given functions has been calculated.

(a) The rule of differentiation applied to

f(x) = 3x²+4/x²+2 is as follows:

f'(x) = [12x(x²+2)-(6x)(4)] / [(x²+2)²]

=> f'(x) = [12x³-24x] / [(x²+2)²]

=> f'(x) = 12x(1-x²)/[(x²+2)²].

(b) The rule of differentiation applied to f(x) = (x² - 7x)^12 is as follows:

f'(x) = 12(x²-7x)^11(2x-7).

We apply the chain rule, which is the following:

[f(g(x))]' = f'(g(x)) * g'(x).(c)

The rule of differentiation applied to f(x) = x⁴√(6x+5) is as follows:

f'(x) = 4x³ * (6x+5)¹∕² + x⁴ * 1/2(6x+5)^-1/2 * 6

=> f'(x) = [24x³(6x+5) + 3x⁴(6)]/[2(6x+5)¹∕²]

=> f'(x) = [3x³(8x²+15)]/[(6x+5)¹∕²].

Thus, the differentiation of the given functions has been calculated.

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the inequality for this situation is

T >= -2

Answer:

False

Step-by-step explanation:

Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down  

Based on the information of an equilateral triangle △STU and the congruence of angles ∠TXU and ∠TVS, it can be concluded that UX is congruent (≅) to SV. The proof involves establishing the congruence of corresponding angles and applying the angle-angle (AA) congruence criterion.

To prove that UX is congruent (≅) to SV using the information, we will utilize the fact that △STU is an equilateral triangle and the congruence of angles ∠TXU and ∠TVS.

We have:

△STU is an equilateral triangle (∠STU = ∠TUS = ∠UST = 60 degrees)

∠TXU ≅ ∠TVS

Proof:

1. Draw a diagram of equilateral triangle △STU.

2. Draw a line segment UX and SV originating from U and S, respectively, towards the interior of the triangle.

3. ∠TXU and ∠TVS are congruent (given).

4. ∠STU = ∠TUS = ∠UST = 60 degrees (equilateral triangle property).

5. Since ∠STU and ∠TUS are both equal to 60 degrees and ∠TXU ≅ ∠TVS, we can conclude that ∠UTX ≅ ∠VTS (angle sum property of triangles).

6. By Angle-Angle (AA) congruence, ∆UTX ≅ ∆VTS.

7. Since corresponding parts of congruent triangles are congruent, we have UX ≅ SV (side UT ≅ side VT).

Therefore, we have proved that UX is congruent (≅) to SV using the information.

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The equivalent expression is \(1215^\frac x5\)

The expression is given as:

rootindex 5 startroot 1,215 endroot superscript x

Rewrite properly as:

\(\sqrt[5]{1215^x}\)

Apply the law of indices

\(1215^\frac x5\)

Hence, the equivalent expression is \(1215^\frac x5\)

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Answer:

6*6=36

Step-by-step explanation:

Answer: C) 150°

Step-by-step explanation: all the angles are the same

Answer:

c

Step-by-step explanation:

The total surface area of a cylinder is calculated with the formula

Hence, the area of the total surface area of the cylinder is 301.44m²

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

<95141404393>

Answer:

12.10+2.75=

14.85x5=

74.25 or

75

Step-by-step explanation:

hope this helps

To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.

To find the particular solution to a differential equation, we need to know the specific form of the differential equation. Without this information, it is not possible to determine the particular solution.

A differential equation is an equation that relates a function and its derivatives. The form of the differential equation determines the method used to solve it and find the particular solution.

For example, a simple linear first-order ordinary differential equation has the form:

\(\frac{dy}{dx} = f(x)\).

To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.

The method of solution depends on the specific type of differential equation, which can include linear equations, separable equations, exact equations, etc. Each type of equation requires different techniques to find the particular solution.If you provide the specific form of the equation you want to solve or any additional information or context, I can guide you through the process of finding the particular solution. Otherwise, without the differential equation, it is not possible to determine the particular solution.

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Cos ( 37 ) = 30 / x

0.7986 = 30 / x

x = 30 / 0.7986

x = 37.5657

x = 37.5660

x = 37.5700

x = 37.6000

x = 37.6 yard

Answer:

Step-by-step explanation:

The longest path that Amy can walk in Matrix Metro is equal to min(m,n)*2-1.

To see why, imagine that Amy starts at any building in the city. Without loss of generality, let's assume she starts at the bottom left corner of the city.

From this point, she has two options: continue walking to the right or turn up. If she continues walking to the right, she will eventually reach the rightmost column of the city and will have to turn up.

Since Amy cannot visit the same building twice, she can visit at most min(m,n) buildings in each row or column. If she visits all min(m,n) buildings in each row or column, she will visit a total of 2*min(m,n) - 1 buildings.

Therefore, the length of the longest path that Amy can walk in Matrix Metro is min(m,n)*2-1, and this is the maximum because Amy cannot visit any more buildings without visiting the same building twice.

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The pencil is longer than the pair of scissors by  \(2\frac{7}{8}\) inches.

A pencil measures  \(8\frac{3}{8}\)  inches.

A pair of scissors measures  \(5\frac{1}{2}\)  inches.

We need to find the difference between the measures of a pencil and the scissors.

We see that the pencil measure is greater than the pair of scissors.

A fraction is a part of a whole number. It has two parts - numerator and denominator.

Example: If you cut a cake into three slices each slice is 1/3.

Where 1 = numerator and 3 = denominator.

Four types of fractions:

Unit fraction - when the numerator is 1.

Proper fraction - When the numerator is less than the denominator.

Improper fraction - When the numerator is greater than the denominator.

Mixed fraction - When the fraction contains a whole number with a proper fraction.

Example:  \(3\frac{1}{3}\)

The given measure of the pen and the pair of scissors is in mix fraction.

The pencil measure is longer than the pair of scissors measure so,

We will subtract the measure of the pair of scissors from the measure of the pen.

We have,

       =  \(8\frac{3}{8} - 5\frac{1}{2}\)

We can write the mix fraction into an improper fraction.

We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.

So,

\(8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}\)

= 67/8 - 11/2

= (67-44) / 8

= 23 / 8

Writing in mix fraction.

=  \(2\frac{7}{8}\)

Thus the pencil is longer than the pair of scissors by  \(2\frac{7}{8}\) inches.

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Answer:

b.3

Step-by-step explanation:

im not 100% sure

Answer:

A: $188.75

B: $566.25

Step-by-step explanation:

To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.

Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:

755-188.75=$566.25.

To check this you can do 755 × 3/4.

Hope this helps.

Please Mark Brainliest!!!

Answer:

What he said

Step-by-step explanation:

The required answer is every 5 times we roll the dice and don't get a sum of 7, we can expect to get a sum of 7 once.

To find the probability of odds against a sum of 7 when rolling a pair of dice one time, we need to first determine the number of ways to get a sum of 7 versus the number of ways to get any other sum.
There are a total of 36 possible outcomes when rolling a pair of dice, as there are six possible outcomes for each die (1, 2, 3, 4, 5, or 6). To get a sum of 7, there are 6 possible combinations: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. Therefore, the probability of rolling a sum of 7 is 6/36 or 1/6.

To find the odds against rolling a sum of 7, we can use the formula:
Odds against = (number of ways it won't happen) : (number of ways it will happen)
So the number of ways it won't happen (i.e. rolling any sum other than 7) is 36-6, or 30. Therefore, the odds against rolling a sum of 7 are:
Odds against = 30 : 6
Simplifying, we get:
Odds against = 5 : 1
This means that for every 5 times we roll the dice and don't get a sum of 7, we can expect to get a sum of 7 once.

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Answer:

x=8

Step-by-step explanation:

Distribution Property: multiply -9+x into -10

-10(-9+x)= 90-10x

90-10x=10

Put alike numbers together.

\(\frac{90}{-90}\)-10x= \(\frac{10}{-90}\)

-10x=-80

Divide to get x.

-10x=-80

\(\frac{-10x}{-10} = \frac{-80}{-10}\)

x= 8

Answer:2 x −3 y =4;3 x −2 y =1. Enter an equation or problem ... -3y + 2x = 4 -2y + 3x = 1. Solve by Substitution : // Solve equation [2] for the variable x

Step-by-step explanation:

To find the equation of the line (line 1) that passes through the points (2,4) and is parallel to the line 3x - 2y = 18 (line 2), you can follow the steps above.

Step 1) Write the equation of line 2 in the slope-intercept form.

A general equation for the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

So, let's isolate y in line 2:

3x - 2y = 18

3y - 18 =2y

2y = 3x - 18

y = 3/2x - 18/2

y = 3/2x - 9

Step 2) Find the slope of line 1.

Since line 1 and 2 are parallel, they have the same slope.

So,

Step 3) Find the y-intercept (b) for line 1.

The equation for line 1 is

To find b, we substitute the point (2,4) in the equation:

Step 4) Write the equation of the line.

Since you found m and b, you can write the equation of the line:

Answer:

The probability that less than 15 buyers would prefer red is approximately 0.0007 (rounded to four decimal places).

To calculate the probability that less than 15 buyers would prefer red, we need to use the binomial probability formula:

P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 14)

where X is a binomial random variable representing the number of buyers who prefer red, and the probability of each individual outcome is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where n is the number of trials (number of buyers selected), k is the number of successes (buyers who prefer red), and p is the probability of success (proportion of population preferring red).

In this case, n = 16, k ranges from 0 to 14, and p = 0.6.

Calculating the individual probabilities and summing them up, we have:

P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 14)

Using the binomial probability formula, we can calculate each individual probability and sum them up to find the final result.

P(X < 15) ≈ 0.0007

Therefore, the probability that less than 15 buyers would prefer red is approximately 0.0007 (rounded to four decimal places).

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The domain of the function is: Domain = {-8, -6, -4, -2, 1, 2} and  range of the function is :- Range = {-8, -6, -4, -2, 0}.

A function is a rule that maps each element in one set, called the domain, to a unique element in another set, called the range.

It is a relation between two sets where each input in the domain corresponds to a unique output in the range.

Functions are often represented by equations, graphs, or tables, and they are used to model real-world phenomena and solve mathematical problems in various fields such as science, engineering, economics, and more.

The domain of the function is the set of all possible input values, which in this case are the x-coordinates of the given points on the graph. So, the domain is:

Domain = {-8, -6, -4, -2, 1, 2}

The range of the function is the set of all possible output values, which in this case are the y-coordinates of the given points on the graph. So, the range is:

Range = {-8, -6, -4, -2, 0}

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