find the range of the function f(x) = x^2 - 6x if the domain is (-7, -2, 1)

Answer:

By using the energy conservation law, the input energy must be equivalent to the output energy.  If you measured output energy is lower than your input energy, you have lost that difference of energy either in mechanical inefficiency (friction, heat, etc.) or an energy sink.

Thus, the energy not output by the machine is lost in the process within the machine.

Cheers.

\(8(x + 7) = 96 \\ 8x + 56 = 96 \\ 8x = 96 - 56 \\ 8x = 40 \\ x = \frac{40}{8} \: \: \: \: \: so \: \: \: \: x = 5\)

Answer:

5

Step-by-step explanation:

If im seeing this correctly, its 8(?+7) =96

if you put 5 instead of the ?

It will equal 12.

12×8 =96

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

a = quadrant 1

b = quadrant 1

c = quadrant 3

d = quadrant 2

e = quadrant 4

f = quadrant 3

g = quadrant 2

h = quadrant 4

Answer:

El conjunto de números racionales se denota con la letra mayúscula latina Q presentada en un tipo de letra de doble trazo. Es parte de una familia de símbolos, presentados en un tipo de letra de doble trazo, que representan los conjuntos de números utilizados como base para las matemáticas.

Step-by-step explanation:

Distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"

Mean refers to the average of a set of values. The mean can be computed in a number of ways including the simple arithmetic mean add up the numbers and divide the total by the number of observations the geometric mean and the harmonic mean. mean can obtained dividing the sum of all values in a data set by the number of values.

Therefore distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"

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The slopes of GH, HI, IJ, and JG include the following:

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope GH = (-3 + 9)/(-4 + 7)

Slope GH = 6/3

Slope GH = 2.

Slope HI = (5 + 3)/(-6 + 4)

Slope HI = -8/2

Slope HI = -4.

Slope IJ = (-1 - 5)/(-9 + 6)

Slope IJ = -6/-3

Slope IJ = 2.

Slope JG = (-9 + 1)/(-7 + 9)

Slope JG = -8/2

Slope JG = -4.

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Answer:

0.097%

Step-by-step explanation:

Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.

1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%

The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:

2y - 4x = -10.

A system of equations is called inconsistent when the number of equations of the system is of zero.

The system in this problem is composed by linear equations, which have the following format:

y = mx + b.

In which:

For inconsistent system, we have that the equations:

The function in this problem is given as follows:

y = 2x + 5.

Hence the inconsistent system is formed with:

2y - 4x = -10.

Which is simplified by 2 as follows:

y - 2x = -5.

y = 2x - 5.

Having the same slope of 2, but a different intercept.

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Answer: 2y – 4x = –10

Step-by-step explanation: trust.

The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.

A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.

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Answer:

Option D is the correct option.

Step-by-step explanation:

Given,

A ( 4, 5 ) , B ( 2 , 2 ) , C ( 4 , 2 )

Let,

A ( 4 , 5 ) → ( x1 , y1 )

B ( 2 , 2 ) → ( x2 , y2 )

Now, finding the length of AB

Use the distance formula to find the length of AB

\( = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

plug the values

\( = \sqrt{ {(2 - 4)}^{2} + {(2 - 5)}^{2} } \)

Calculate the difference

\( = \sqrt{ {( - 2)}^{2} + {( - 3)}^{2} } \)

Evaluate the power

\( = \sqrt{4 + 9} \)

Add the numbers

\( = \sqrt{13} \)

Hope this helps..

Best regards!!

Let the length be 9x and width be 4x.

4x = 52

x = 13

Length = 9x = 117 mm

Answer:

0.125

Step-by-step explanation:

first we have to make it to where 1/8 can fit into 100

1/8 x 100/100 equals 100/800

now times 100/800 by 8/8 and get 1/8 or 0.125

The equation to know the number of people that can get pizza is p = 42.5 / 8.5

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, Anna wants to celebrate her birthday by eating pizza with her friends and she has $42.50 and each pizza cost $8.50.

The equation that maths the situation will be:

p = 42.50 / 8.5

where P = number of people that can get pizza.

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Step-by-step explanation:

no, not anymore. unbelievable.

AC = AE + EC = 12 + 8 = 20

Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

We are required to write an inequality for the problem and also solve it

The number of biking outfit Ethan can purchase is 2

Given:

Total amount Ethan has = $620

Amount of bicycle = $427.57

Bicycle reflector = $11.38

Cost of 4 Bicycle reflector = $11.38 × 4

= $45.52

Cost of bike glove = $31.41

Cost of biking outfit = $57.75

Write an inequality to solve for the number of biking outfit Ethan can purchase

let

x = number of biking outfit Ethan can purchase

620 ≥ 427.57 + 45.52 + 31.41 + 57.75x

620 ≥ 504.5 + 57.75x

620 - 504.5 ≥ 57.75x

115.5 ≥ 57.75x

x ≥ 115.5 / 57.75

x ≥ 2

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The critical values for the confidence interval for the population standard deviation can be determined using the chi-square distribution. For a sample size of 13 and a significance level of 0.1, the critical values are 5.229 (lower critical value) and 22.362 (upper critical value).

To determine the critical values for the confidence interval for the population standard deviation, we can use the chi-square distribution. The chi-square distribution depends on the sample size and the significance level.

Given a sample size of 13 (n = 13) and a significance level of 0.1 (a = 0.1), we need to find the critical values that correspond to a cumulative probability of 0.05 (for the lower critical value) and 0.95 (for the upper critical value).

Using a chi-square distribution table or a statistical calculator, we find that the critical value for a cumulative probability of 0.05 with 12 degrees of freedom is approximately 5.229. This is the lower critical value.

Similarly, the critical value for a cumulative probability of 0.95 with 12 degrees of freedom is approximately 22.362. This is the upper critical value.

Therefore, the critical values for the confidence interval for the population standard deviation, with a sample size of 13 and a significance level of 0.1, are 5.229 (lower critical value) and 22.362 (upper critical value).

To determine the minimum score required for admission to the university, we need to find the SAT Writing score that corresponds to the top 30% of the distribution. Since SAT Writing scores are normally distributed with a mean of 491 and a standard deviation of 109, we can use the standard normal distribution.

The top 30% of the distribution corresponds to a cumulative probability of 0.7. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to a cumulative probability of 0.7 is approximately 0.524.

We can calculate the minimum score required for admission by multiplying the z-score by the standard deviation and adding it to the mean:

Minimum score = (0.524 × 109) + 491 ≈ 548.116

Rounding this value to the nearest whole number, we find that the minimum score required for admission is 548.

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Answer:

so...  18 / 2/3 =

I honestly think it's c.

Let's define the variables:- W: Alex's weight (in pounds)

- t: Number of weeks

We know that Alex is losing weight at a rate of 2 pounds per week. This means that his weight decreases by 2 pounds each week. So, we can represent his weight as a linear equation:

W = 205 - 2t

After 6 weeks, Alex weighs 205 pounds. We can substitute t = 6 into the equation to find the weight at that time:

205 = 205 - 2(6)

205 = 205 - 12

205 = 193

This confirms that after 6 weeks, Alex weighs 193 pounds.

Now, we want to find out how many weeks it will take for Alex to reach his target weight of 175 pounds. We can set up the equation:

175 = 205 - 2t

To solve for t, we can rearrange the equation:

2t = 205 - 175

2t = 30

t = 15

Therefore, it will take Alex approximately 15 weeks to reach his target weight of 175 pounds if he continues losing weight at a rate of 2 pounds per week.

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The numbers are:

First number is:

6

Second number is:

3^2 = 9

4^2 = 16

So, Square Root of 15 is really close to 4, but less.

Third Number is:

4.5

Fourth Number is:

3.2

Fifth Number is:

5^2 = 25

6^2 = 36

So, square root of 27 is close to 5, but greater.

Least to Greatest:

To evaluate and simplify the given expressions, let's work through each part:

(a) Evaluating f(x - 1):

To find f(x - 1), we substitute (x - 1) into the function f(x):

f(x - 1) = 2(x - 1)² - (x - 1)

Expanding and simplifying:

f(x - 1) = 2(x² - 2x + 1) - x + 1

= 2x² - 4x + 2 - x + 1

= 2x² - 5x + 3

Therefore, f(x - 1) simplifies to 2x² - 5x + 3.

(b) Evaluating f(x) - f(1):

To find f(x) - f(1), we substitute x and 1 into the function f(x):

f(x) - f(1) = (2x² - x) - (2(1)² - 1)

= 2x² - x - (2 - 1)

= 2x² - x - 1

Therefore, f(x) - f(1) simplifies to 2x² - x - 1.

(c) Evaluating f(3x):

To find f(3x), we substitute 3x into the function f(x):

f(3x) = 2(3x)² - (3x)

= 2(9x²) - 3x

= 18x² - 3x

Therefore, f(3x) simplifies to 18x² - 3x.

(d) Evaluating 3f(x):

To find 3f(x), we multiply the function f(x) by 3:

3f(x) = 3(2x² - x)

= 6x² - 3x

Therefore, 3f(x) simplifies to 6x² - 3x.

To summarize:

(a) f(x - 1) simplifies to 2x² - 5x + 3.

(b) f(x) - f(1) simplifies to 2x² - x - 1.

(c) f(3x) simplifies to 18x² - 3x.

(d) 3f(x) simplifies to 6x² - 3x.

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On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

The lengths of the shorter and longer pieces of a board should be determined.

the case

Let's say that the shorter parts are x in length.

as stated

Jared has an 11-foot wooden board with him.

In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.

The length of the longer pieces is then equal to 4x - 4.

The equation then becomes

\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)

The shorter pieces will therefore be 3 feet long.

The longer pieces' length -

\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)

The longer pieces will therefore be 8 feet long.

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The slope of the line that passes through the given points (2 12) and (6 11) is  -1/4.

Two points are given: (2, 12), (6, 11).

A line's "steepness" is quantified by a quantity called the slope, which is typically represented by the letter m. It is the adjustment of y for a unit adjustment of x.

We are aware that the formula for the slope of a line using two points is

m= y2 - y1 /x2 - x1

In this instance, x1 = 2, Y1 = 12, X2 = 6, Y2 = 11.

m = 11 - 12 / 6 - 2

m = -1/4

The slope is therefore -1/4.

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Answer:

The exterior angle is 77

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

2x+11 = x +44

First we need to find x

Subtract x from each side

2x+11-x = x+44

x +11 = 44

Subtract 11 from each side

x+11-11 = 44-11

x =33

Now we can find the exterior angle

2x+11 = 2(33)+11 = 66+11 = 77

The exterior angle is 77

Answer:

r = 1

Step-by-step explanation:

2πr = x

πr² = y

x = 2y

2πr = 2πr²

r = 1

Answer:

-22

Step-by-step explanation:

The mean of this variable is 16.8 hours.

This means that, on average, a part-time employee works 16.8 hours per week.

Student question: (co 3) consider the following table of hours worked by part-time employees.

These employees must work in 5 hour blocks.

Weekly hours worked probability: 5 (0.06), 15 (0.61), 20 (0.18), 25 (0.15).

Find the mean of this variable.
To find the mean of this variable, follow these steps:
Step 1: Multiply each weekly hours worked value by its corresponding probability.
- 5 hours * 0.06 = 0.3
- 15 hours * 0.61 = 9.15
- 20 hours * 0.18 = 3.6
- 25 hours * 0.15 = 3.75
Step 2: Add the products obtained in Step 1.
- 0.3 + 9.15 + 3.6 + 3.75 = 16.8
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The attached image shows the triangle with coordinates A(1,4), B(1,7) and C(3,5) and reflected over the line y = 2x + 1.

Reflection refers to the transformation of a geometric shape by flipping it across a line called the line of reflection.

When a shape undergoes reflection, every point on the shape is mapped to a corresponding point on the opposite side of the line of reflection, maintaining the same distance from the line.

For example, if you have a triangle and reflect it across a line of reflection, the resulting image will be a triangle with the same size and angles, but it will be facing in the opposite direction.

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