Determine:


A) Graph the solution of each SIL inequality (separately) using a test point and a tabulation. (line graph)


B) The vertices that make up the solution region:


- Justify the process to find the coordinates of the vertices of the solution region.


- Determine in a table the coordinates of all the vertices that make up the solution region of the SIL.

We have a translation of 4 units to the left, then the new zero will be at (-4, 0)

Here we have the parent function:

y = x^4

With a zero at (0, 0).

Remember that for any function f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

If N > 0, the translation is to the left.

if N < 0, the translation is to the right.

So here:

y=(x+4)^4

We have a translation of 4 units to the left, then the new zero is at x = -4

y = (-4 + 4)^4 = 0

So the new zero is at (-4, 0)

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

The yearly investment she needs to make to reach her goal is $667.558

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given that Sari makes an investment with the goal of having $20,000 after 30 years,

total amount = $20,000

time period = 30 years

let the investment she made is compounded annually,

for growth rate = 1.12

the amount for CI is given by,

A = p[tex](1 + i)^{t}[/tex]

where 1 + i = growth rate  = 1.12

so p = A/[tex](1 + i)^{t}[/tex]

p = 20000/(1.12)³⁰

p = $667.558

Hence she needs to invest $667.558 yearly.

Learn more about compound interest;

https://brainly.com/question/14295570

#SPJ1

The velocity of the ball at t = 2 is 1 m/s.

To calculate the velocity of a ball at a certain time, we can use the following formula:

[tex]v(t) = lim (F(t) - F(t0)) / (t - t0)[/tex]

where F(t) is the position of the ball at time t, and t0 is the starting time. In this example, we are trying to find the velocity of the ball at t = 2, so t0 = 0. Substituting these values into the equation, we get:

[tex]v(2) = lim (F(2) - F(0)) / (2 - 0)[/tex]

F(2) is the position of the ball at time 2, which is given as -160 + 17t. Plugging this into the equation, we get:

[tex]v(2) = lim (-160 + 17t - 0) / (2 - 0)[/tex]

We can simplify this equation by canceling out the common factors and evaluating the limit, which gives us:

[tex]v(2) = lim (-160 + 17)(t - 2) / (t - 2)[/tex]

Canceling the common factors, we get:

[tex]v(2) = lim (-160 + 17) / 1[/tex]

Finally, evaluating the limit, we get the velocity of the ball at t = 2:

[tex]v(2) = -160 + 17 = -16 + 17 = 1 m/s[/tex]

The velocity of the ball at t = 2 is 1 m/s.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ4

Answer:

c below

Step-by-step explanation:

(5, 4), (−2, 3), and (−2, 2) became

(9, 2), (2, 1), and (2, 0).

they got moved 4 units to the right & 2 down

Answer:To find the cost of a typical Tolleson electric bill, we need to calculate what portion of the total average utility cost is for electricity. If the average electric bill is 38% of the total amount, we can multiply the total average utility cost in Tolleson by 0.38:

$192.40 * 0.38 = $72.90

So the cost of a typical Tolleson electric bill is $72.90.

To compare Tolleson's electric bill cost with the national average, we can subtract the national average from Tolleson's average:

$236.24 - $72.90 = $163.34

So the national average is $163.34 higher than Tolleson's average electric bill cost.

Therefore, Tolleson's average electric bill cost is lower than the national average by $163.34.

Step-by-step explanation:

The measure of <HPL is 129 degrees

The complete question is added as an attachment

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

(12x - 15) = (8x + 33)

This is so because they are alternate angles

So, we have

12x - 15 = 8x + 33

Evaluate the like terms

4x = 48

Divide by 4

x = 12

Recall that

HPL = 12x - 15

So, we have

HPL = 12 * 12 - 15

Evaluate

HPL = 129

Hence, the angle is 129 degrees

Read mroe about angles at

https://brainly.com/question/7620723

#SPJ1

The y-intercept for this equation makes no sense for this model.

The given expression is

y=-1912.49+1.003x.

This linear regression expresses a line in its explicit form: y=mx+c

Where y=-1912.49 represents the y-interception.

This element of the linear regression represents the initial condition of the modeled problem, that is, in this case, the initial year.

So, it doesn't make sense that the initial year is -1912.49 because years are whole numbers, they are not represented as decimals. Additionally, years cannot be negative numbers, because it won't make sense, time cannot go backward.

Therefore, the y-interception is not appropriate to model this problem.

To know more about y-intercept:

https://brainly.com/question/13291936

#SPJ4

The  system of inequalities is shown by each graph are;

y ≤ 0.5x - 4 and y < -2x + 0

An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

From the given graph, the y-intercept of the solid line is y = -4.

The slope is gotten as; m = (0 - (-4))/(8 - 0)

m = 4/8 = 0.5

Thus inequality is;

y ≤ 0.5x - 4

Similarly, the y-intercept for the dashed line ins y = 0

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

The slope is gotten as; m = (8 - 4)/(-4 - (-2))

m = 4/-2

m = -2

Thus, the equation is;

y < -2x + 0

Read more about Inequality Graphs at; https://brainly.com/question/11234618

#SPJ1

The slope of a line perpendicular to this line is 2.

The slope of a line parallel to this line is (-1/2)

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

Let's rewrite the given equation 4x+ 8y = -9

4x+ 8y = -9

8y = -4x - 9

y = (-4/8)x - 9/8

y = (-1/2)x - 9/8

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ *  m₂ = -1

where m₁ and m₂ represent the slope of the lines

The slope of a line perpendicular to this line will be:

m₁ * m₂ = -1

(-1/2) * m₂ = -1

m₂ = 2

When the two lines are parallel, they have the same slope. That is:

m₁ = m₂

The slope of a line parallel to this line will be:

m₂ = (-1/2)

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

The decline of the ratio of greatest on interval (in year), We get

[t=15,t=35]=[2010,2030]

we have

[tex]f(t) =\left \{ {{4.1, 0 < t < 5} \atop {-0.03t+4.25, 5 < t < 15}} \atop {-0.075t4.925, 15 < t < 35}} \right.[/tex]

a)

The graph of f(t),

b)

the ratio begging of 2003 (t = 8),

f(t) = = -0.03t + 4.25

put t = 8,

f(8) = -0.03(8) + 4.25

f(8) = 4.01

The answer,

2003 : 4.01  ..................i)

and the ratio begging of 2027 (t = 32),

f(t)=-0.075t+4.925

put t = 32,

f(32) = -0.075(32) + 4.925

f(32)=2.525

The answer,

2027 : 2.525 ..........................ii)

c)

The ratio is constant on interval (in year)

[t=0, t=5]=[1995,2000]

d)

The decline of the ratio of greatest on interval (in year)

[t=15,t=35]=[2010,2030]

A graph is a mathematical representation of a set of objects in which some pairs of the objects are connected by links. The objects are called vertices or nodes and the links are called edges. Graphs can be used to model a wide range of real-world situations such as networks of roads, social relationships, and computer networks.

There are two main types of graphs: directed and undirected. In a directed graph, the edges have a direction, while in an undirected graph, the edges do not have a direction. Additionally, there are weighted and unweighted graphs. In a weighted graph, the edges have a weight or cost associated with them, while in an unweighted graph, the edges do not have any weight. Graphs are widely used in computer science, operations research, and various other fields for modeling and solving problems.

To learn more about Graph visit here:

brainly.com/question/17267403

#SPJ4

Complete Question: -

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995. 4.1 if 0<t<5 f(t) = -0.03t +4.25 if 5<t <15 -0.075 +4.925 if 15 <t <35 (a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle. Graph Layers << After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution Lelo WebAssign. Graphing Tool (b) What was the ratio at the beginning of 2003? At the beginning of 2027? 2003 2027 (c) Over what years is the ratio constant? O [5, 15] O [0, 5] O [2000, 2010] O [2010, 2030] O [1995, 2000] (d) Over what years is the decline of the ratio greatest? O [1995, 2000] O [2000, 2010] O [15, 35] O [5, 15] O [2010, 2030]

The answer is,  Yes, 3 is a polynomial of degree 0.

and, the type of the polynomial is called a cubic polynomial.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

A binomial is a two-term polynomial.

For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.

here, we have,

3 is a polynomial of degree 0.

Since there is no exponent to a variable, therefore the degree is 0. Explanation: All constant polynomials have a degree of 0. Since 3 is a constant polynomial and can be written as 3x^0,

it has a degree of 0.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ1

The most suitable data type for storing the enrollment date is Datetime.

'Datetime' is a data type in SQL that can store the date and time value, with the highest precision up to fractions of a second. This data type can store dates between January 1, 1753, and December 31, 9999, which makes it suitable for storing the enrollment date that ranges from January 1, 1980, to December 31, 2350.

'The smalldatetime' data type is also an option, but it has a lower precision and only stores the date and time with minutes accuracy. The 'date', 'day', 'month', 'year', and 'time' data types are not suitable for storing the enrollment date as they only store either the date or time component and not both.

Learn more about SQL here:

https://brainly.com/question/25694408

#SPJ4

The correct statement regarding the difference of sample means is given as follows:

The difference of sample means is statistically significant if it falls outside the 5% significance level.

Depends on if the p-value is less or more than the significance level:

The problem is incomplete, hence the answer was given in general terms.

More can be learned about difference of sample means at https://brainly.com/question/1658528

#SPJ1

Step-by-step explanation:

3(2x+11)=(3c+15)(2)

6x+33=6c+30

6c-6x=30-33

6c-6x=3

6c=3-6x

3(3-6x)+33=6(3-6x)+30

9-18x+33=18-36x+30

24-18x=12-36x

-18x=-12

x=4/6

6(4/6)+33=(3c+15)(2)

4+33=6c+30

37-30=6c

7/6=c

The expressions 3(2x + 11) and (3c + 15)(2) are not equivalent, as they are different when they are simplified the most.

Equivalent expressions are expressions that are simplified to the same expression.

The first expression is simplified applying the distributive property as follows:

3(2x + 11) = 6x + 33.

The second expression is also simplified applying the distributive property as follows:

(3c + 15) x 2 = 2(3c + 15) = 6c + 30.

Different expressions, due to different variables (x and c) and constants (33 and 30), hence they are not equivalent.

More can be learned about equivalent expressions at https://brainly.com/question/30417403

#SPJ1

Starting from t = 0 to t = 2.5 seconds with each t = 0.5 seconds, the LEFT Riemann sums for this issue are performed.

Distance is equal to 0.5 * v (0), 0.5 * v (0.5), 0.5 * v (2), and 0.5 * v (0.5)(2.5) >>>>>>>>>>>> (LESS LIMIT)

The same thing is possible with RIGHT. Riemann sums are calculated from t = 0.5 to t = 3 with t = 0.5.

Distance is equal to (0.5 * v) + (0.5 * v) (1) + ......... 0.5 * v (2.5) + 0.5 * v (3) (3) >>>>>>>>>>>> (MAXIMUM LIMIT)

Lower Estimate:

The lower estimate for the distance that the runner traveled during the first three seconds of the race can be calculated by adding the distances traveled at each half-second interval. The distances traveled at each half-second interval are as follows: 0.5 seconds - 10 ft, 1 second - 20 ft, 1.5 seconds - 30 ft, 2 seconds - 40 ft, 2.5 seconds - 50 ft, and 3 seconds - 60 ft. Therefore, the lower estimate for the distance traveled during the first three seconds of the race is 10 + 20 + 30 + 40 + 50 + 60 = 190 ft.

Upper Estimate:

The upper estimate for the distance that the runner traveled during the first three seconds of the race can be calculated by adding the distances traveled at each half-second interval plus the distance traveled during the 0.5 seconds between each interval. The distances traveled at each half-second interval plus the distance traveled during the 0.5 seconds between each interval are as follows: 0.5 seconds - 15 ft, 1 second - 25 ft, 1.5 seconds - 35 ft, 2 seconds - 45 ft, 2.5 seconds - 55 ft, and 3 seconds - 65 ft. Therefore, the upper estimate for the distance traveled during the first three seconds of the race is 15 + 25 + 35 + 45 + 55 + 65 = 235 ft.

To learn more about distance:

https://brainly.com/question/26046491

#SPJ4

Answer:

h=3n

Step-by-step explanation:

well based off the numbers given, you can assume that you hit the ball 3 times in 1 inning. Therefore, it is a 3:1 ratio from hits to innings, concluding that h=3n.

Answer:

Hi!

Step-by-step explanation:

Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3).

Total revenue when the market price is =0.59~0.6

total revenue at the current market rate,

(42-48)/[(42+48)/2]=13.33 % CHANGE IN DEMAND

(125-100)/[(125+100)/2]=(125-100) = 22.22

Ep=13.33/22.22

=0.59~0.6

inelastic

decrease

inelastic.

Your company's sales for the entire year are what make up your annual income. Costs and expenses are not included in this. The quantity of each product you sell is multiplied by the retail price to determine annual sales, which are then added to determine annual sales as a whole.

Sales are the total annual revenue derived from the sale of products or services associated with a business's core operations. The whole profit or profit of the company is known as income or net income. The financial health of a corporation is influenced by both sales and net income, yet they are mutually exclusive.

Learn more about annual revenue here: https://brainly.com/question/30299210

#SPJ4

The percent of the truck pool that needed brake maintenance is 21.62%.

Percentage can be described as a fraction of an amount that is expressed as a number out of hundred. The sign that represents percentage is %. In  order to convert a number to percentage, multiply the number by 100.

Percent of trucks that need maintenance = (number of trucks that need maintenance / total number of trucks) x 100

= (8/37) x 100 = 21.62%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

The lengths in the geometric system are UW = 20√2, TU = 60√2 and TW = 80.

In this problem we find the case of a geometric system formed by two right triangles: UWV, UTW. All missing lengths can be determined by means of Pythagorean theorem, whose formulae are shown below:

UV² = UW² + WV²

TU² = TW² + UW²

Where:

In addition, both triangles are proportional since they are similar. The proportion formula is:

UV / TV = WV / UV = UW / TU

First, determine the length of side UW:

UW = √(UV² - WV²)

UW = √(30² - 10²)

UW = 20√2

Second, determine the length of side TV:

UV / TV = WV / UV

TV = UV² / WV

TV = 30² / 10

TV = 90

Third, determine the length of side TW:

TW = TV - WV

TW = 90 - 10

TW = 80

Fourth, calculate the length of side TU:

TU = √(TV² - UV²)

TU = √(90² - 30²)

TU = 60√2

To learn more on right triangles: https://brainly.com/question/29301480

#SPJ1

The magnitude and direction of the displacement vector are 253.4 m and 60.3°, respectively.

The magnitude of a displacement vector can be calculated using the Pythagorean Theorem, where the magnitude is equal to the square root of the sum of the squares of the x and y components of the vector. In this case, the magnitude is equal to the square root of (118)2+(198)2=253.4 m.

To find the direction, we can use the trigonometric inverse tangent function. The angle must be measured counterclockwise from the negative x axis. We can calculate the angle θ using the equation θ=tan-1(y/x). In this case, θ=tan-1(198/118)=60.3°. Therefore, the magnitude and direction of the displacement vector are 253.4 m and 60.3°, respectively.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/14930619

#SPJ4

The probability that at least one of the two outcomes occurs is equal to the sum of the individual probabilities minus the overlap between them.

The probability that at least one of two outcomes, represented by a and b, occurs is given by the union of the two events, represented by

P(a U b)

This probability is calculated as the sum of the individual probabilities of the two events, minus the probability of their intersection, represented by

P(a ∩ b)

This is because the intersection represents the overlap between the two events and is counted twice in the sum of the individual probabilities.

Mathematically, the probability of the union of two events can be expressed as:

P(a U b) = P(a) + P(b) - P(a ∩ b)

Therefore, the probability that at least one of the two outcomes occurs is equal to the sum of the individual probabilities minus the overlap between them. This calculation takes into account the fact that the overlap represents the probability of both outcomes occurring together, which is counted twice in the sum of the individual probabilities.

Learn more about probability :

https://brainly.com/question/30034780

#SPJ4

In order to simply construct a histogram, we require additional data and the range is excessive here.

The lowest and highest valleys for this set of data are 191 and 646, respectively. Therefore, the range is excessive here. However, the total number of data, in this case, is only 2468, or ten numbers. Therefore, only N is 10 is provided. That indicates that the question contains 10 data. Therefore, we are unable to create a histogram for this data.

In the given number of data, which is too little and too close to causing a disaster. He still possesses him. Therefore, in order to simply construct a histogram, we require additional data. But with these 10 pieces of data, this is impossible. Additionally, the range is extremely wide, allowing us to construct a histogram for this question.

Learn more on Histogram here:

https://brainly.com/question/28164315

#SPJ4

Complete Question:

Listed below are blood platelet counts (1000 cells/ uL ) randomly selected from adults in the United States. Why does it not make sense to construct a histogram for this data set?

191 286 263 193 193 215 162 646 250 386

answer

the answer is yes they are equvalent

Answer:

Yes

Step-by-step explanation:

If you multiply 3 and x you get 3x

If you multiply 3 and 2 you get 6. Which means the answer is [tex]3x + 6\\[/tex]

3 · x = 3x

3 · 2 = 6

3x + 6

Return desired statistic from city and statistic chosen by user in cells C6 and C7 using VLOOKUP and MATCH functions with error handling using IFNA.

To solve this problem, you need to use the combination of the VLOOKUP and MATCH functions in cell D7. The VLOOKUP function is used to search for a value in a table and return the corresponding value from a specified column. The MATCH function is used to find the position of a value in a range.

Assuming the data is in a table called "Data" with columns A and B representing the city and statistics, respectively, the formula in cell D7 would be:

=IFNA(VLOOKUP(C6,Data,MATCH(C7,Data[1],0),FALSE),"Invalid Data")

The IFNA function is used to handle any errors that might occur during the lookup. If the lookup returns an error, it will return the text "Invalid Data".

Learn more about VLOOKUP :

https://brainly.com/question/18137077

#SPJ4

The surface area of the triangular pyramid is 465. 75 m². Option D

The formula for calculating the surface area of a trIangular pyramid is expressed with the equation;

S = 1/2 b× a + 3/2 b× s

Given that the parameters are;

Now, substitute the values into the formula, we get;

Surface area = 1/2 × 16. 2 × 14. 0 + 3/2 × 16. 2 × 14.5

Multiply the values

Surface area = 113. 4 + 352. 35

Surface area = 465. 75 m²

Hence, the value is 465. 75 m²

Learn about surface area on:

https://brainly.com/question/16519513

#SPJ1

The answer is 8 + 8√2 = 12 + 4√2, which is closest to answer choice (A), so the answer is (A).

Since the circles have radius 1, the sides of the triangle that are tangent to the circles are equal to 2. The sum of the sides of the triangle is equal to the perimeter of the triangle, so if we add up the sides that are tangent to the circles, we can find the perimeter.

There are four sides of the triangle that are tangent to the circles, so the sum of these sides is

4 * 2 = 8

To find the perimeter, we simply add 8 to the remaining sides of the triangle.

Since the triangle is isosceles, it has two equal sides that are equal to 4√2, and one side equal to the diameter of the circles, which is equal to 4. The perimeter is then equal to :

8 + 4 + 4√2 * 2 = 8 + 4 + 8√2.

The answer is 8 + 8√2 = 12 + 4√2, which is closest to answer choice (A), so the answer is (A).

Learn more about tangent :

https://brainly.com/question/19424752

#SPJ4

The complete question is :

In the diagram, four circles of radius 1 with centers P, Q, R and S are tangent to one another and sides of △ABC . Find the perimeter of △ABC

(A) 12+4√2

(B) 12+4√3

(C) 12+6√2

(D) 12+6√3

(E) 24

Answer: 2.5%

Step-by-step explanation:

8.54 / 8.75 =0.975

1 - 0.975 = 0.025

0.025 x 100% ( and nearest thenth)

=2.5%