f(x)=-5x-7 g(x)=6x-4

Find F(x)+g(x)

Please show steps

First, we need to define rational numbers

Rational numbers are numbers that can be express as a quotient or fraction

From the question given, The square root of 16 is 4, this can be express as 4/1

Hence, it is a rational number

Therefore the correct option is A

a) Given preferences are not monotonic.

b) The budget constraint is binding and the consumer cannot afford that bundle.
c) The interpretation of these choices is that the consumer maximizes their utility.

(a) These preferences are not monotonic. Monotonicity means that if one bundle is preferred to another, any bundle with more of both goods should also be preferred. In this case, if x1'+x2' < x1''+x2'', it does not necessarily mean that x1'+x2' < x1''+x2'' for all bundles with more of both goods.

(b) To determine which bundle would be chosen by the consumer, we need to compare the total expenditure on each bundle to the consumer's income. If the total expenditure on a bundle is less than or equal to the consumer's income, then that bundle would be chosen.

If the total expenditure exceeds the consumer's income, then the budget constraint is binding and the consumer cannot afford that bundle.

(c) When prices are strictly negative (p1 = -ω, p2 = -e), the budget set can be represented graphically as a set of bundles that the consumer can afford.

The initial endowment P represents the amount of good 2 that the consumer already possesses without having to spend any money. It is a starting point for the consumer's choices.

(d) To characterize the optimal selection of the consumer, we need to consider whether ω > e or e > ω.

If ω > e, the consumer's optimal choice would lie on the highest attainable indifference curve that is tangent to the budget set.

If e > ω, the optimal choice would lie on the indifference curve that is tangent to the budget set at a point where the consumer exhausts their initial endowment P.

The interpretation of these choices is that the consumer maximizes their utility by selecting the bundle that provides the most satisfaction given their budget constraints and initial endowment.

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Answer:

12/11

Step-by-step explanation:

y2-y1/x2-x1

(-4-8)/(-2-9)

Answer:

-12,-1

Step-by-step explanation:

(9,8) (-2,-4)

x,y. x²,y²

x²-x,y²-y

(-4-8),(-2-9)

-12,-11

=-12,-11

The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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To find y'(4) by implicit differentiation, we differentiate both sides of the equation 3x^2 + 3x + xy = 4 with respect to x.

Differentiating 3x^2 + 3x + xy = 4, we get:

6x + 3 + y + xy' = 0

Since we know y(4) = -14, we substitute x = 4 and y = -14 into the differentiated equation:

6(4) + 3 + (-14) + (4)(-14)' = 0

Simplifying this equation, we have:

24 + 3 - 14 - 56y' = 0

Combining like terms, we get:

13 - 56y' = 0

Solving for y', we find:

56y' = 13

y' = 13/56

Therefore, y'(4) = 13/56.

To find an equation of the tangent line to the graph at the point (4, -14), we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the point (4, -14) and m is the slope y'(4).

Substituting the values, we have:

y - (-14) = (13/56)(x - 4)

y + 14 = (13/56)(x - 4)

Simplifying, we get:

y = (13/56)x - (13/14) - 14

y = (13/56)x - (13/14) - (196/14)

y = (13/56)x - 209/14

Thus, an equation of the tangent line to the graph at the point (4, -14) is y = (13/56)x - 209/14.

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Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

the crude death rate per 100,000 population in 2009 was approximately 813.

To calculate the crude death rate per 100,000 population, we need to divide the number of deaths by the population and multiply by 100,000.

The population at the midpoint of 2009 is given by b. We don't know the exact value of b, but we can assume that it represents the population on July 1, 2009. According to the U.S. Census Bureau, the estimated population of the United States on July 1, 2009, was approximately 307 million. We can use this number as an approximation for b.

The number of deaths in 2009 is given by a. We don't know the value of a, but we can assume that it represents the number of deaths in the United States in 2009. According to the Centers for Disease Control and Prevention, there were approximately 2.5 million deaths in the United States in 2009.

The number of persons ages 15 to 24 is given by c. We don't know the value of c, but we can assume that it represents the number of people in this age group in the United States in 2009. According to the U.S. Census Bureau, the estimated population of this age group in the United States on July 1, 2009, was approximately 41 million.

Using these approximations, we can calculate the crude death rate per 100,000 population as follows:

Crude death rate = (a / b) x 100,000
Crude death rate = (2.5 million / 307 million) x 100,000
Crude death rate = 813.0081

Therefore, the crude death rate per 100,000 population in 2009 was approximately 813.
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The statement "the standard deviation is the square root of the variance" is TRUE.What is the standard deviation?The standard deviation is a statistical measure that calculates the amount of variability or dispersion in a set of data.

It quantifies the distribution's spread by measuring the average distance of each point from the mean. In other words, it's a measure of how much the values in a data set deviate from the mean.What is the variance?Variance is a statistical measure that quantifies the distribution's dispersion.

It is defined as the average of the squared distances of each data point from the mean of the data set. It provides information on how spread out the data is with regard to the mean.Standard Deviation vs VarianceThe variance and standard deviation are two closely related statistical measures.

The variance is computed by squaring the standard deviation. To calculate the standard deviation, take the square root of the variance. In simpler terms, the standard deviation is the square root of the variance.Therefore, the statement "the standard deviation is the square root of the variance" is TRUE.

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Answer: 21.3

Step-by-step explanation: Let us split the figure into two triangles. If the total bottom length is 22, than the triangle's base is 22/2=11

We can use the Pythagorean theorem to get: 11^2+x^2=24^2  or      121+x^2=576

576-121=455

sqrt 455=21.33................

rounds to 21.3

Step-by-step explanation:

from the picture we got angle HFG is 45 degree.

let x is the length of HF

we got sin45=sqrt(8)/x

1/sqrt(2)=sqrt8/x

x=sqrt16

x=4

note that x is the length of HF

let y is the length of HE

use pythagorean theory

3^2+4^2=y^2

9+16=y^2

25=y^2

5=y

so tanE is x/y

tanE=4/5

The maximum distance between any two points of the ellipse is 34 feet.

The maximum distance between any two points of a ellipse is the maximum distance between the ends of the ellipse along the longest axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in standard form is defined by this formula:

\(\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1\) (1)

Where:

Hence, the maximum distance (\(d_{max}\)), in feet, is calculated by this formula:

\(d_{max} = 2\cdot b\) (2)

If we know that \(b = 17\), then the maximum distance between any two points of the ellipse is:

\(d_{max} = 2\cdot (17\,ft)\)

\(d_{max} = 34\,ft\)

The maximum distance between any two points of the ellipse is 34 feet. \(\blacksquare\)

The statement is incomplete and poorly formatted, correct form is presented below:

An elliptical-shaped path surrounds a garden, modeled by \(\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1\), where all measurements are in feet. What is the maximum distance between any two points of the path.

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The purchase cost of a car 24,500 with local sales tax rate 4% has following answer,

Total tax paid = $980

Total cost of a car including tax = $25.480.

Purchasing cost of a car = $24,500

Local sales tax rate on a car = 4%

Tax paid on the car purchase = (Purchase price) × (tax rate)

Substitute the value we get,

⇒ Tax amount = 4% of 24,500

⇒ Tax amount = 0.04 x 24,500

⇒ Tax amount = $980

Total cost of a car including tax = ( Tax amount ) + (Purchase price )

Substitute the value we have,

⇒ Total cost of a car  = Purchase price + Tax amount

⇒ Total cost of a car = 24,500 + 980

⇒ Total cost of a car = $25,480

Therefore, the tax paid on the car purchase and the car's total cost including tax is equal to $980 and $25,480 respectively.

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Answer:

La respuesta es 51-52-53, Si No me crees calculalo

Step-by-step explanation:

The given binomial x² + 9 as given in the task content is not a difference of two squares because the arithmetic sign between the two terms represents a sum.

By observation; although the terms x² and 9 represent perfect squares, it follows that the sign between the two terms is an addition sign.

Hence, the given binomial does not qualify to be termed the difference of two squares.

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Using derivatives, it is found that regarding the tangent line to the function, we have that:

A linear function is modeled by:

y = mx + b

In which:

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

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Answer:

124.53

Step-by-step explanation:

7.15×105=750.75

5.964×105=626.22

750.75-626.22=  124.53

lmk if this is right or not :)

Answer with step-by-step explanation:

(7.15 × 105) - (5.964 × 105) = 124.53

750.75 - 626.22 = 124.53

Hope this helped! (brainliest please)

Answer: 3/10

Step-by-step explanation:

Urn1 contains 5 balls (2 red & 3 yellow) and Urn2 contains 8 balls (4 red & 4 yellow). One ball is drawn from each Urn.

The probability for the ball from Urn1 is yellow & ball drawn from Urn2 is also yellow

The probabilty is 3/5 ∗ 4/8=3/10.

The best way to analyze their data for significance is to Conduct a two-way variable analysis.

As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).

It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).

Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.

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The bell tolls 6 times between 11:45 AM and 3:10 PM.

Determine how many times the bell tolls between 11:45 AM and 3:10 PM, follow these steps:

1. Calculate the time interval between 11:45 AM and 3:10 PM:
3:10 PM - 11:45 AM = 3 hours and 25 minutes
2. Find the next bell toll after 11:45 AM:
Since the bell tolls at half past the hour, the next bell toll is at 12:30 PM.
3. Calculate the time interval between 12:30 PM and 3:10 PM:
3:10 PM - 12:30 PM = 2 hours and 40 minutes
4. Divide the time interval by the bell's tolling interval:
2 hours and 40 minutes = 160 minutes
160 minutes / 30 minutes (bell's tolling interval) = 5.33
5. Since the bell can't toll a fraction of a time, round down the result:
5.33 rounds down to 5
6. Add 1 to the rounded result to include the bell toll at 12:30 PM:
5 + 1 = 6.

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The answer to the given question is B. Sample Survey is the best description of the research design for the study.

A Sample Survey is a survey that is accomplished by using a sampling method, in which only a portion, and not the whole population is surveyed. In a sample survey, just a part of the total population is approached for information on the research. Then, these data are expanded or considered to make inferences about the entire population.

These are the steps to conduct a sample survey:

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Step-by-step explanation:

work is shown and pictured

Answer:

So the correct option is:

d) x = (3 ± √13) / 2

Step-by-step explanation:

To find the solutions of the equation x^2 - 3x - 1 = 0 using the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a), we can identify the values of a, b, and c from the given equation.

a = 1

b = -3

c = -1

Substituting these values into the quadratic formula, we get:

x = (-(-3) ± √((-3)^2 - 4(1)(-1))) / (2(1))

Simplifying further:

x = (3 ± √(9 + 4)) / 2

x = (3 ± √13) / 2

Therefore, the exact solutions of the equation x^2 - 3x - 1 = 0 are:

x = (3 + √13) / 2

x = (3 - √13) / 2

Answer:

c. x = the quantity of 3 plus or minus the square root of 13 all over 2

Step-by-step explanation:

Using quadratic formula with a = 1, b = -3, and c = -1.

x = [-(-3) ± √{(-3)^2 - 4(1)(-1)}] / ]2(1)]

x = (3 ± √13)/2

Answer:

11x^2+5x−19

Step-by-step explanation:

Answer:

I only know No.1

Step-by-step explanation:

The figure is a right triangle i'm sorry I cant do much more than that.

59265 divided by a number raised to the 8th power × 596 × 427 is presented as follows;

\(15082468380 \times {x}^{ - 8} \)

The given number to be divided is 59265

Let x represent the number that is raised to the 8th power, we have;

The number by which 59265 is divided = x⁸

The number by which the result is multiplied = 596 × 427

Therefore, we have;

\( \frac{59265}{x^8} \times 596 \times 427 = \frac{59265}{ {x}^{8} } \times 254492 \)

The above expression can be expressed using the rules of indices as follows;

\(\frac{59265 \times 254492}{ {x}^{8} } =15082468380 \times {x}^{ - 8} \)

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The given polynomial 5x² + 3x + 6 can be described as a second-degree polynomial since the highest exponent of x is 2. It can also be referred to as a quadratic polynomial since it contains a term with x². The coefficient of x² is 5, which indicates that the graph of the polynomial will open upwards since it is positive.

The constant term in the polynomial is 6, which is the y-intercept of the graph. The coefficient of x, which is 3, represents the slope of the line and is positive, indicating that the graph is increasing. Overall, this polynomial can be used to model real-world situations, such as projectile motion or financial modeling.  This is a __quadratic__ polynomial, as the highest degree of the variable (x) is 2. Quadratic polynomials have the general form ax² + bx + c, where a, b, and c are constants, and a is not equal to zero.
1. It's called a polynomial because it is an algebraic expression consisting of terms involving a variable (x) raised to a non-negative integer power.
2. The term 5x² has the highest degree (2), making it the leading term, and 5 is the leading coefficient.
3. Since the highest degree is 2, it is classified as a quadratic polynomial.
4. The polynomial has three terms: 5x² (a quadratic term), 3x (a linear term), and 6 (a constant term).
5. The constant term (6) is the value of the polynomial when x is zero.
So, the correct term to fill in the blank is "quadratic."

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The coordinates of point N are (8.66, 21)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The coordinates of a point dividing a straight line joining two coordinates in the ratio m : n is given by -

x =  \($\frac{mx_2+nx_1}{m+n}\)

y = \($\frac{my_2+ny_1}{m+n}\)

We have LMN as a straight line such that the coordinates of L are (-3,1) , coordinates of M are (4,9) and LM : MN is 2 : 3.

Assume the coordinates of point N are (a, b).

We can write -

9 =  (2b + 3)/5

4 = (-6 + 3a)/5

2b + 3 = 45

b = 21

3a - 6 = 20

3a = 26

a = 8.66

Therefore, the coordinates of point N are (8.66, 21)

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Answer:

20÷(-10)=-2 is the answer

Answer:

1. 11x

2. 5x+7

3. 5x+8

4. 8x+9y

5. x+8y+12

6. 12x+3y

7. 10a+7b+4

8. 19a+11

9. a+16b+10

10. 13a+9b+11

11. 12a+2b+24

12. 4a+3b+1

13. 8x+6

14. 11x+20

15. 4x+27

16. 11x+8y

17. 5x+3y+18

18. 7x+15y+30

19. 7x+7y

20. 5x+10y+33

21. 2x+7y+37

22. 9x+7y+9

23. x+2x+7+3x+1= 6x+8

24. 3x+x+x+5+x+5+2x+3= 8x+13

Step-by-step explanation:

Like variables can be added together and simplified.  Like variables are things like 2x and 4x.  They both have x.  This works for y,z, etc...

The mean driving distance of the cricket balls is greater than 200 yards. Therefore, the ball manufacturing process should continue operating.

To perform a hypothesis test, we need to set up the null and alternative hypotheses:

Null hypothesis: The population mean driving distance of the cricket balls is 200 yards (µ = 200).

Alternative hypothesis: The population mean driving distance of the cricket balls is greater than 200 yards (µ > 200).

We can use a one-sample t-test to test the hypothesis since the sample size is less than 30 and the population standard deviation is unknown. The test statistic is given by:

t = (sample mean - hypothesized mean) / (sample standard error)

t = (203 - 200) / (12 / sqrt(30))

t = 1.8371

The degrees of freedom for the test is n - 1 = 29.

Using a t-distribution table or a calculator, the p-value for a one-tailed test with 29 degrees of freedom and a t-value of 1.8371 is approximately 0.0406.

Since the p-value (0.0406) is less than the significance level of 0.05, we reject the null hypothesis.

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