3. Determine whether each of the following functions is or is not a solution to the differential equation dy/dx = x + y.
(a) y= 22 (b) y=2e^x - x - 1 (c) y= -x - 1 (d) y = e^2x – 2e^x - x - 1

Answer:

No real solution implies that there could possibly be imaginary solutions.

Step-by-step explanation:  Extraneous solutions are created be using certain methods to solve the problem. They are not, never were, or never will be solutions. They are created by the process that is used to solve. hope this helps you :)

Answer:

558 square units

Step-by-step explanation:

The best way to do this is to break this down into smaller rectanlges and find the area of those, and then add them together. To find side X (in attached picture) you would solve for X after setting up the equation X = 40 - (10+6) and you would get X= 24. To find side Y, you would solve for Y in the equation          Y= 9 + (15-7) and get 17.  For side Z it would be Z = 9 + 15 with Z = 24. Then you would simply use the length x width = area to find the area of rectangle A you would do 9 x 24 = 216. For rectangle B it would be 24 x 10 = 240. For rectangle C it would be 6 x 17 = 102 then all you would have to do is add 216 + 240 + 102. which equals 558 square units

The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Answer:

Step-by-step explanation:

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-55 is the value of the expression 5m+10(m-1) when the value of m is -3.

The given expression is 5m+10(m−1).

We need to find the value of expression when m is -3.

Let's substitute the value of m=−3 into the expression 5m+10(m−1):

5m+10(m−1)

=5(−3)+10((−3)−1)

=−15+10(−4)

=−15−40

=−55

Hence, the value of the expression is -55.

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Complete question:

If m=−3, what is the value of 5m+10(m−1)?

Answer:

1) 229 Teens

2) (12,-2)

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer:

(f+g)(x) = x²+5x-14 + (x-2)

           = x²+5x-14+x-2 = x²+6x-16

(f-g)(x) = x²+5x-14 - (x-2)

          = x²+5x-14 - x+2

          = x²+5x-14-x+2 = x²+4x-12

If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.

In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.

The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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The complete question is:

Consider the following three market baskets:

Food Clothing

A 6 3

B 8 5

C 5 8

If preferences satisfy all four of the basic assumptions:

A. A is on the same indifference curve as B.

B. B is on the same indifference curve as C.

C. A is preferred to C.

D. B is preferred to A.

E. Both A. and B. are correct.

Answer:

Step-by-step explanation:

Hi there! Just multiply by x and find the value of f=p. Good luck!

Answer:

2nd: 9

3rd: 15

4th: 21

Step-by-step explanation:

Add 6 to each term

Answer:(1,16) and (-1,-16)

Step-by-step explanation:

For example, the pair factors of 16 are written as

Answer:

r7

Step-by-step explanation:

Answer:

slope = - 3

Step-by-step explanation:

\(slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}\)    ,    \([ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ]\)

\(slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3\)

A) The total no. of students taking only maths is 220 students.

let's say the total no. of students taking only maths = M

M = 360 - (100 + 40) = 220 students.

B) The total no. of students in the survey is 960 students.

let's say the total no. of students in the survey = S

S = 360 + 280 + 300 - (100 + 120 + 110) + 40 = 960 students.

C) The total no. of students who are taking exactly two of the courses is 330 students.

let's say the total no. of students who are taking exactly two of the courses = T

T = 100 + 120 + 110 = 330 students.

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Answer:

To solve this problem, we can set up a system of two equations to represent the given information:Let A be the cost of an apple and B be the cost of a banana.Then the first equation is: 4A + 3B = 4.48

The second equation is: 3A + 4B = 4.76To find the values of A and B, we can solve this system of equations using substitution or elimination.Using substitution, we can solve for A in the first equation and substitute that expression into the second equation:4A + 3B = 4.48

A = (4.48 - 3B)/4Substituting this expression for A into the second equation gives:3((4.48 - 3B)/4) + 4B = 4.76

3(4.48 - 3B) + 4B = 4.76

13.44 - 9B + 4B = 4.76

4.44 - 5B = 4.76

-5B = -0.32

B = 0.064Now that we have found the value of B, we can substitute it back into the first equation to find the value of A:4A + 3(0.064) = 4.48

4A + 0.192 = 4.48

4A = 4.288

A = 1.072Therefore, the cost of an apple is £1.072 and the cost of a banana is £0.064.

Step-by-step explanation:

Answer:

The answer is below

The area of the amount of pie the person has eaten is equal to the area of a sector with 45° central angle. The area is 6.28 square inches.

The area of the amount of pie the person has eaten can be found using the formula for the area of a sector, which is

A = (θ/360)πr²

where θ is the central angle of the sector (in degrees), r is the radius of the circle, and π is the constant pi.

In this case, θ = 45° (the arc length),

r = 4 inches (the radius of the pie), and

π = 3.14 (the constant pi).

Plugging these values into the formula, we get:

A = (45/360)π(4)²

Simplifying the equation, we get:

A = (0.125)π(16)

A = 2π

A = 6.28 square inches

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Answer:

(0,2)

x=0

y=2

Step-by-step explanation:

We know that y=x+2

This means that we can subsitute this for y into the second equation

3x+3(x+2)=6

This is easy to solve

3x+3x+6=6

6x=0

x=0

We can then use this value for x in the second equation

y=0+2

y=2

I doubled checked this answer on desmos and my math is correct

Answer:

Answer:

(0,2)

x=0

y=2

Step-by-step explanation:

We know that y=x+2

This means that we can subsitute this for y into the second equation

3x+3(x+2)=6

This is easy to solve

Step 1:

3x + 3x + 6 = 6

Step 2:

6x=0

6      6

x=0

Then you should substitute y =x + 2 with the given solution from the first equation, x = 0

y=0 + 2

y=2

Your answer should be, x =0 and y = 2 or (0,2)

Answer:

(-x,-y)

Step-by-step explanation:

I checked inside the module where I learned it. So, I’m pretty sure this is the right answer.

Answer:

e3iuehe3ieeiuhiuwh3ewiuhd god igood great

Step-by-step explanation:

Answer:

Slope:-1/4 y-int: 3

Step-by-step explanation:

You can you the formula y1-y2/x1-x1 or you can look at it and find out if that makes sense

The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The complete question is;

"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters.  It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"

The volume of the triangular prism;

\(\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm\)

Hence, the height of the base will be 15 cm.

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Answer:

B

Step-by-step explanation:

y = 8√x (square both of side)

y² = 64x

x = y²/64

f-¹(x) = x²/64

The inverse is B.) f-¹(x) = x²/64 for, x≥0

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that, f(x) = 8√x for x ≥ 0

Let, f(x)=y

Then, we get,

y = 8√x (square both of side)

y² = 64x

x = y²/64

i.e. f-¹(x) = x²/64

Hence, The inverse is B.) f-¹(x) = x²/64 for, x≥0

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Answer:

B: 20.25

Step-by-step explanation:

32/24=27/x

Is this MAP testing?

Based on the table provided, A can produce more coffee (10 kg) compared to B (2 kg) in one week of work, while B can produce more tea (40 kg) compared to A (6 kg) in the same time frame.

The table shows the number of kilos of coffee and tea that A and B can produce in one week of work. According to the table, A can produce 10 kg of coffee, while B can produce only 2 kg of coffee. Therefore, the statement "A has more coffee" is true.

Furthermore, the table also indicates that B can produce 40 kg of tea, whereas A can produce only 6 kg of tea. Consequently, the statement "B has more tea" is true as well.

In summary, A has more coffee (10 kg) compared to B (2 kg), while B has more tea (40 kg) compared to A (6 kg). This information is derived from the data presented in the table.

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The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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Answer: 11

Step-by-step explanation:

11x11=121

The algebraic expression that can be represented by the statement is -5x/2 = 10

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

The negation of the product of five times a number divided by two is ten

Represent the variable with y

So, we have the following representation

The negation of the product of five times x divided by two is ten

Express the product as an actual product

So, we have the following representation

The negation of 5x divided by two is ten

Express the quotient as an actual quotient

So, we have the following representation

The negation of the 5x/2 is ten

Lastly, we have

-5x/2 = 10

Hence, the expression is -5x/2 = 10

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Answer:

7

Step-by-step explanation:

6m = 3m + 21

6m - 3m = 21

3m = 21

m = 21 / 3

m = 7

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424