How do you graph exponential functions?

Answer:

\({x}^{2} - 10x + 25\)

Step-by-step explanation:

For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.

(x - 5) (x - 5)

First, multiply the two Xs together.

X * X =

\( {x}^{2} \)

Now, the outer numbers and values.

X * -5 =

\( - 5x\)

Then, it's the inner numbers and values.

-5 * x =

\( - 5x\)

Finally, multiply the last numbers.

-5 * -5 =

\( 25\)

Now that we have multiplied all of the values, we can put the answers from FOIL together.

\( {x}^{2} - 5x - 5x + 25\)

Now, add any like terms.

\( - 5x - 5x = - 10x\)

The answer is

\( {x}^{2} - 10x + 25\)

Answer:

420 + 15 = 435

360 + 45 = 405

435 - 405 = 30.

30 minutes less sunlight

Step-by-step explanation:

Answer:

The east side gets 30 minutes less sunlight.

Step-by-step explanation:

To find the answer we have to subtract 6 hours 45 minutes from 7 hours 15 minutes. As we see that 15 is less than 45, we turn 7 hours 15 minutes to 6 hours 75 minutes, and now we can subtract. 6 hours 75 minutes - 6 hours 45 minutes = 30 minutes. Now, we see that the answer is 30 minutes less sunlight.

Answer:

The Answer Is 382...

Step-by-step explanation:

We may calculate the corresponding value of z = 1.476 using a conventional normal right-tailed z-table.

Find the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table (e.g. whole number and the first digit after the decimal point). It is 1.0 in this instance. We then look up the last number, which in our example is 0.09, from across table (on top).

The amount of standard deviations a scoring or value (x) is from the mean is the number of Z scores (Z value). Z-score quantifies data dispersion in other terms. Z-score, informally, indicates however many standard deviations a number (x) is below or above population mean (µ).

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The y-intercept is (0, 4).

An alternate method to find the x-intercepts is to factor the quadratic equation.

The vertex is (-2, 0).

The graph of the equation is illustrated below.

One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.

To find the x-intercepts, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:

x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2

Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:

(-2)² + 4(-2) + 4 = 0

In this case, we can see that the equation can be factored as:

(x + 2)² = 0

Taking the square root of both sides, we get:

x + 2 = 0

x = -2

This gives us the same x-intercept as before.

To find the vertex of the parabola represented by the equation, we can use the formula:

x = -b / 2a

and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:

x = -4 / 2(1) x = -2

Substituting x = -2 into the equation, we get:

(-2)² + 4(-2) + 4 = 0

Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.

To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:

0² + 4(0) + 4 = 4

Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.

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A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

x+4≤2x

Step-by-step explanation:

Given ~

\( \tt \: f(x) = 2x² – 3x – 1\)

\( \: \)

put the value of x=8 in given function ~

\( \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1\)

\( \: \)

\( \tt \: f(8) = 2 (64) - 3(8) - 1\)

\( \: \)

\( \tt \: f(8) = 128 - 24 - 1\)

\( \: \)

\( \tt \: f(8) = 104 - 1\)

\( \: \)

\( \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}\)

\( \: \)

hope helps ~

Answer:

9

Step-by-step explanation:

2(5)-(1)

10-1

9

Answer:

48 feet

Step-by-step explanation:

Let the height of the balloon above the ground be h feet and the time passed be t seconds.

Red balloon

h= 2t +40 -----(1)

• where 40 is its initial height and 2t represents an increase of 2 feet in height for every second that has passed

Blue balloon

h= -3t +60 -----(2)

• where 60 is its initial height and -3t represents the balloon decreasing 3 feet in height for every second that has passed.

When the two balloons are of the same height above the ground, the value of h in both equations are equal. Thus, let's equate (1) and (2) to find the time when both balloons are at the same height above the ground.

2t +40= -3t +60

Bring t terms to one side, constant to the other:

2t +3t= 60 -40

Simplify:

5t= 20

Dividing both sides by 5:

t= 20 ÷5

t= 4

Hence, both balloons are at the same height after 4 seconds.

Substitute t= 4 to any of the two equations to find the height of the balloons.

h= 2t +40 -----(1)

When t=4,

h= 2(4) +40

h= 8 +40

h= 48

The balloons are 48 feet above the ground when they are the same height above the ground.

The step of data storytelling that describes showing the story of the data to highlight the meaning behind the numbers is "Visuals". The correct answer is option (d).

Visuals are an important aspect of data storytelling because they can help to convey complex information in a simple and easy-to-understand way. Visuals can include graphs, charts, diagrams, and other types of visual aids that appeal to the sight and are used for effect or illustration.

By using visuals, a data analyst can help their audience to better understand the story that the data is telling and to see the patterns and trends that might not be presently alleged from the raw numbers alone.

Hence, the correct answer is option (d).

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The complete question is as follows:

A data analyst wants to tell a story with data. As a second step, they focus on showing the story of the data to highlight the meaning behind the numbers. which step of data storytelling does this describe?

a. Primary message

b. Engagement

c. Narrative

d. Visuals

We need to construct a 2 x 3 matrix C using only 1, -1, and 0 as entries such that the product of C and A results in the 2-norm of A. After some trial and error, we find a suitable matrix C.

However, when we compute the product of A and C, denoted as AC, we observe that it is not equal to the identity matrix l_3.

The given matrix A is a row vector [1 1 1 3 4 7]. We need to construct a 2 x 3 matrix C such that CA results in the 2-norm of A. By trial and error, we can construct the matrix C as follows:

C = [1 -1 0;

0 0 0]

Now, we compute the product AC:

AC = [1 -1 0; 0 0 0] * [1 1 1 3 4 7]

AC = [1*(-1) + (-1)1 + 01 1*(-1) + (-1)1 + 03 1*(-1) + (-1)1 + 04 1*(-1) + (-1)1 + 07

0*(-1) + 01 + 01 0*(-1) + 01 + 03 0*(-1) + 01 + 04 0*(-1) + 01 + 07]

AC = [-2 -2 -2 -2

0 0 0 0]

We can see that AC is not equal to the 3 x 3 identity matrix l_3.

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The alphabetic index for ICD-10-CM (International Classification of Diseases, 10th Revision, Clinical Modification) is organized by terms and codes (option b).

It serves as a reference tool that allows users to locate codes for specific diseases, conditions, procedures, or external causes. The index is typically organized alphabetically according to the terms or phrases that describe various medical conditions. Users can navigate the index by looking up keywords related to the diagnosis or procedure they are interested in. The index provides corresponding codes that can be used for accurate classification and documentation purposes.

The ICD-10-CM index may include subheadings, indents, and cross-references to assist with finding the appropriate code. It is an important component of the coding system, helping healthcare professionals, coders, and researchers in accurately identifying and classifying medical conditions and procedures for billing, research, and statistical purposes. The correct option is b.

The complete question is:

The alphabetic index for icd 10 cm is organized by

a) the condition

b) terms and codes

C) none of the above

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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After solving, the observed statistic for this study is 2.5.

In the given question, a professor collected data.

After fishing a test, the 27 students in the class wrote their pedicted scores on their tests and these were compared with the actual scores after they were graded.

The mean predicted score was 83.7. So SD = 83.7.

The mean actual score was 81.2. So SD = 15.6

the aen of the difference was 2.5. So SD = 8.6

Null: The average difference in test score (predicted-actual) is 0. μ = 0

Alternative: The average difference in test score (predicted-actual) is greater than 0. μ > 0

We have to find the observed statistic for this study.

predict mean = 83.7   S.D = 8.6

actual mean = 81.2    S.D = 15.6

n = 27

x = (predict mean - actual mean )

x = 83.7 - 81.2

x = 2.5

Hence, the observed statistic for this study is 2.5.

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The right question is given below:

Answer:

D (fourth one)

Step-by-step explanation:

1. Turn the mixed fraction into an improper fraction

2. Multiply by the reciprocal

13/3*4/3=52/9

3. Turn back into mixed fraction.

Answer:

53.81

Step-by-step explanation:

if u add the tip but the tip by itself is 8.21

Answer:

x = 0.357143

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-1.6 - 2x = 5x + 0.9

Step 2: Solve for x

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Step-by-step explanation:

so why you are asking?????

Answer:

orange_08............................

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

m represents the  number of miles driven.

In the context of this problem, 19.95 is the cost of renting the U-Haul in Chicago without any additional charges.

In the context of this problem, 1.49 represent the cost per mile of driving the U-Haul

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62 kilograms is equal to 136.69 pounds. To convert kilograms to pounds, multiply the number of kilograms by 2.2046.

The conversion of kilograms to pounds is a simple mathematical operation. To convert kilograms to pounds, you need to multiply the number of kilograms by 2.2046. This is because 1 kilogram is equal to 2.2046 pounds. Therefore, to convert 62 kilograms to pounds, you need to multiply 62 kilograms by 2.2046, which gives you the result of 136.69 pounds. This means that 62 kilograms is equal to 136.69 pounds. This conversion is commonly used for measuring the weight of an object, a person, or an animal, as pounds are the commonly used unit for measuring weight in the United States. This conversion is also used in other countries, where the unit of measurement for weight is in pounds.

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The sum a geometric sequence is:

\(S_n=\dfrac{a_1(1-r^n)}{1-r} \ \text{where} \ a_1 \ \text{is the first term and r is the ratio}\)

In the given problem, \(a_1=10\) and \(r = 2\)

\(S_{10}=\dfrac{8(1-2^{10})}{1-2}\)

\(. \ \ \ \ =\dfrac{8(1-1024)}{-1}\)

\(. \ \ \ \ =-8(-1023)\)

\(. \ \ \ \ \bold{=8184}\)

the slope in this graph represents the relationship between the prey population and the number of predator offspring produced per unit of time.

the slope indicates how much the number of predator offspring changes for a given change in the prey population. A steeper slope indicates that a small change in the prey population leads to a large change in the number of predator offspring, while a flatter slope indicates that a large change in the prey population is needed to produce the same change in the number of predator offspring.

Overall, the slope provides important information about the dynamics of predator-prey interactions and can help researchers understand how changes in one population affect the other. This is a relatively long answer, but I hope it helps clarify the role of slope in this type of graph.


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Answer:

15393.8cm sorry if im wrong