Let f(x) = 5x/x^2-7+10
What is the domain of f(x)?
A. All real numbers
B. All real numbers except x = 2, x = -5
C. All real numbers except x = 2
D. All real numbers except x = 2, x = 5

Answer:

Y = 9 + 2/3

Step-by-step explanation:

First, find the equation for the given points ((0, - 4) and (3, 2)). By graphing these points, I found that this equation was Y = -4 + 2/3.

Now, we can start to form the equation of the line you are trying to find. Because parallel lines must have the same slope, we know that the slope of the line will be 2/3. We can now use this slope to find the Y-intercept of the line. Add 2 to the X-coordinate and 3 to the Y-coordinate. By doing this you get the coordinates (0, 9). 9 is the slope of the second line.

Now we can make the equation you are trying to find. The answer is Y = 9 + 2/3 where 9 represents the Y-intercept and 2/3 represents the slope of the line.

Hope this helps! Let me know.

Answer:

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

EXPLANATION

The appropiate expression is:

This is because it's a Square of a Trinomial.

A vector field is said to be conservative if it is irrotational and it is path-independent.

A vector field is a field with three components, x, y, and z. To determine if a vector field is conservative, the following steps can be taken:

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-1

Functions are often given in a different notation than other relationships. This is known as function notation.

Function Notation

Function notation is most commonly written with the variables f(x) and x. The variable f(x) is pronounced "f of x". Still, function notation can be written with any variables such as w(a) and a. The independent variable, also known as the y-value, is f(x). The dependent variable is x. For the question above, w(a) is independent and a is dependent. When solving a function for a specific value, to show what the x-value is, we put that value into the parentheses.

So, the question uses w(0) to show that 0 is the a-value we are using to solve. In context, w(0) means to solve the function when a = 0.

Solving for w(0)

To solve this, all we need to do is plug 0 in for a.

This means that w of 0 is equal to -1.

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

To find the general solutions of the given differential equations using D-operator methods, we will use the fact that D-operator (D) represents differentiation with respect to x.

3.1 For the differential equation (D² - 5D + 6)y = e^(-x) + sin(2x), we can factorize the characteristic equation as (D - 2)(D - 3)y = e^(-x) + sin(2x). Solving each factor separately, we have: (D - 2)y = e^(-x) => y₁ = Ae^(2x) + e^(-x) (where A is a constant). (D - 3)y = sin(2x) => y₂ = Bsin(2x) + Ccos(2x) (where B and C are constants). The general solution is y(x) = y₁ + y₂ = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x).

3.2 For the differential equation (D² + 2D + 4)y = e^(2x)sin(2x), the characteristic equation is (D + 2i)(D - 2i)y = e^(2x)sin(2x). Solving each factor separately, we have: (D + 2i)y = e^(2x)sin(2x) => y₁ = Ae^(-2ix)e^(2x)sin(2x) = Ae^(2x)sin(2x)

(D - 2i)y = e^(2x)sin(2x) => y₂ = Be^(2ix)e^(2x)sin(2x) = Be^(2x)sin(2x)

The general solution for the first differential equation is y(x) = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x), and the general solution for the second differential equation is y(x) = Ae^(2x)sin(2x) + Be^(2x)sin(2x), where A, B, and C are constants.

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Answer: 10x+14

Step-by-step explanation: In a equation like this one you just add like terms. So 10 and 4 are added and make 14. Since there are no like terms for 10x then you just leave it be.

The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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Answer: Please check below

Step-by-step explanation:

So we know that a supplementary angle is always 180 degree angle. 180 is basically a straight angle. So DEB is a straight line. Due to this we can tell that one of the supplementary angles could be DEC. Thank you!

Note: There are many solutions but DEB is one of them.

To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.

4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours

Now, we can write this as a fraction by expressing the decimal part as a fraction:

4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4

Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.

The answer is (B) 4 3/4.

Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

The interest on $5.255 at 12% for 30 days using ordinary interest can be calculated using the formula:I = PRT,Where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.

Here, P = $5.255, R = 12% = 0.12 (as a decimal), and T = 30/365 = 0.08219 (in years, as the time is given in days).

So,

I = 5.255 x 0.12 x 0.08219 = $0.0518

Rounding to two decimal places, the interest on $5.255 at 12% for 30 days using ordinary interest is $5.26. Therefore, the correct answer is option (c).

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Answer:

<    No

Step-by-step explanation:

Answer:

no because the one with more zeros is lower.

Step-by-step explanation:

The partition where the bundle branches are located is called the interventricular septum. The interventricular septum is a wall of tissue that separates the ventricles of the heart. It plays a crucial role in electrical conduction within the heart.

Within the interventricular septum, there are specialized bundles of cardiac muscle fibers known as the bundle branches. These bundle branches are responsible for transmitting electrical signals from the atrioventricular (AV) node to the ventricles, coordinating the contraction and pumping of blood.

The bundle branches consist of the left bundle branch and the right bundle branch. The left bundle branch further divides into the anterior and posterior fascicles, while the right bundle branch extends towards the right ventricle. These branches distribute electrical impulses to specific regions of the ventricles, ensuring synchronized and efficient contraction.

In summary, the partition where the bundle branches are located is known as the interventricular septum. It serves as a pathway for electrical signals to reach the ventricles, facilitating coordinated contraction and efficient pumping of blood.

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The standardized value of X = 16, given that X is a normal random variable with mean = 20 and standard deviation = 2, is -2.

To find the standardized value of X = 16, we need to convert it into a standard normal random variable by using the formula for standardization.

The standardization process involves subtracting the mean of the random variable and dividing by its standard deviation.

Given that X has a mean of 20 and a standard deviation of 2, the formula for standardization is:

Z = (X - μ) / σ

Where Z represents the standardized value, X is the original random variable, μ is the mean, and σ is the standard deviation.

Plugging in the values, we have:

Z = (16 - 20) / 2

Z = -4 / 2

Z = -2

Therefore, the standardized value of X = 16 is -2.

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Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

Answer:

The answer is d < 3120.

Step-by-step explanation:

Based on the information given, the possible equation that would model the situation described is y = 4x.

In this situation, there are three variables:

Now, using these variables, let's create an equation that matches the situation:

y = 4 x

This equation means that the total of money paid for cashing a check is equal to 4 (fee) multiplied by x number of months assuming each month you cash one check.

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Answer:

$450

Step-by-step explanation:

Let's use the variables C, I, and F to represent the number of chocolate fudge bars, ice cream sandwiches, and frozen fruit bars, respectively, that you will sell.

The cost of each chocolate fudge bar is $0.75, the cost of each ice cream sandwich is $0.85, and the cost of each frozen fruit bar is $0.50. Therefore, the total cost of the frozen treats that you buy will be:

Total cost = 0.75C + 0.85I + 0.50F

We want to make sure that this total cost is no more than $450. Therefore, we can write the following inequality:

0.75C + 0.85I + 0.50F ≤ 450

This inequality represents the number of chocolate fudge bars, C, the number of ice-cream sandwiches, I, and the number of frozen fruit bars, F, that will cost you no more than $450.

Answer:

$10 owed for lunch.

Step-by-step explanation:

"asset" means to benefit, so the question is asking which one of these is not benefiting his net worth. he has $15 and $25 in savings, these both benefit him. he also has a $50 rare baseball card this also benefits him. the only one that takes away money is the money he owes for lunch.

The Scale of the drawing is the ratio of the length of the soccer field in the drawing to the actual length of the soccer field.

Let x be the scale of the drawing. We have:

232 mm / x = 116 m

To solve for x, we need to convert the units so that they are the same on both sides of the equation. There are 1000 millimeters in 1 meter, so:

232 mm / x = 116 m * 1000 mm/m

232 mm / x = 116000 mm/m

x = 232 mm / 116000 mm/m

x = 0.002

Therefore, the scale of the drawing is 0.002.

In other words, every millimeter in the drawing represents 0.002 meters in real life. This means that if you measure any distance in the drawing and multiply it by 0.002, you will get the actual distance in meters.

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The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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Answer:

1/15

Step-by-step explanation:

Answer:

0.06

Step-by-step explanation:

Turn 1/3 to a decimal, which becomes .3

Then you do .3/5 which equals 0.06

Hope this helps.

The multiple coefficients of determination, R², is 0.7, or 70% evaluated using the formula R² = SSR/SST.

The numerous coefficient of assurance called R-squared (R²), may be a degree of the extent of the full variety within the subordinate variable clarified by the free factors within the relapse demonstrate.

 To calculate R² you can use the following formula:

R² = SSR/SST

where:

SSR is the regression sum of squares.

SST is the sum of squares. This is the regression sum of squares plus the error sum of squares.

In this case SSR = 1400 and SSE = 600. SST can be calculated as:

SST = SSR + SSE

= 1400 + 600

= 2000

Therefore, R² is

R² = SSR/SST

= 1400 / 2000

= 0.7

Therefore, the fold determination coefficient R² is 0.7 or 70%.  

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Answer:

=÷×°°¥==÷¥✓5+7+12+16=40

If a white dwarf in a binary star system gains mass beyond the Chandrasekhar limit (approximately 1.4 solar masses), it undergoes a runaway nuclear reaction, causing it to collapse and explode in a Type Ia supernova.

A white dwarf is a dense stellar remnant that is left behind after a star has exhausted all its nuclear fuel and has shed its outer layers. In a binary star system, the white dwarf may gain mass from its companion star, either through accretion or a merger. If the mass of the white dwarf exceeds the Chandrasekhar limit, the gravitational forces become so strong that the electrons in the atoms are forced to combine with the atomic nuclei, forming neutrons. This process is called electron capture, and it releases a tremendous amount of energy.

The energy released is enough to ignite a runaway nuclear reaction, causing the white dwarf to collapse and explode in a Type Ia supernova. Type Ia supernovae are important cosmic events because they are used as standard candles to measure the distance to distant galaxies. These explosions are also believed to play a significant role in the chemical evolution of the universe, as they produce heavy elements such as iron and nickel that are scattered into the interstellar medium.

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Answer:

167 adult tickets were sold

35 children tickets were sold

Step-by-step explanation:

Let the number of adult tickets be x

Let the number of children tickets be y

Total number of each ticket sold;

x + y = 202 equation 1

Total cost of the tickets

10x + 6y = 1708 equation 2

Let

x= 202 - y equation 3

Substitute 3 into 2

10(202 - y) + y = 1708

2020 - 10y + y = 1708

-9y = 1708 - 2020

-9y = -312

y= 35

Substitute y =35 into 1

x + 35 =202

x= 202 - 35

x= 167

Therefore;

167 adult tickets were sold

35 children tickets were sold

Answer:

It is in fact C. f(x) has a horizontal asymptote at y = 1

Step-by-step explanation:

Took this on Edg. If it gives you the wrong answer, please let me know.