helppppp meeeeee pleaseeeee​

Helppppp Meeeeee Pleaseeeee

Answers

Answer 1

1 are you on ixl and 2 the answer is 17+17+20+16+15


Related Questions

HELP PLEASE ANSWER NOW
Solve the following system of equations algebraically using the ELIMINATION METHOD. Show all work.
x-3y=1
3x-5y=11

Answers

Answer:

(7,2)

Step-by-step explanation:

Multiply the first equation by -3

(x-3y=1)  = -3x+9y=-3

Combine like terms with the new equation and the second equation

(-3x+9y=-3) + (3x-5y=11)   = 4y=8

Divide each side by 4

4y/4=8/4

y=2

Plug in 2 for y in any equation. It doesn’t matter which one

x-3(2)=1

Distribute

x-6=1

Add 6 to both sides

x-6=1

+6  +6

x=7

Answer: x = 7 y = 2

(7, 2)

Step-by-step explanation:

Multiply the first equation by -3 and the second by 1:

-3(x - 3y = 1)

1(3x - 5y = 11)

Becomes:

-3x + 9y = -3

3x - 5y = 11

Add the equations to eliminate x:

-3x + 9y = -3

3x - 5y = 11

4y = 8

Solve for y by dividing by 4:

4y/4 = 8/4

y = 2

Now we plug in y to the first equation:

x - 3 ( 2 ) = 1

x - 6 = 1

Add 6 to both sides:

x - 6 + 6 = 1 + 6

x = 7

How do you factor with a leading coefficient greater than 1?

Answers

Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.

Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.

One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.

The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.

Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.

In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.

Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.

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What is 4 superscript 5 written in expanded form? 4 + 4 + 4 + 4 + 4

Answers

Step-by-step explanation:

it will be 20

its 4 and 5 you can als9 multiply it

A bag of skittles contains 4 red skittles, 3 green skittles, 2 orange skittles, and 1 purple skittle. What is the probability that you randomly choose a skittle that is green, do not replace it, and then draw a purple skittle?​

Answers

Answer:1/30

Step-by-step explanation:

green: 3/10

purple don't replace: 1/9

3/10*1/9=1/30

Given the following contingency table with category labels A, B, C, X, Y, and Z, what is the expected count with 1 decimal place in the joint category of C and X? XY A 11 10 3 B 15 6 2 C 18 1 5 Your Answer:

Answers

The expected count in the joint category of C and X is 3.4.

To find the expected count in the joint category of C and X, we need to calculate the row and column totals for categories C and X.

The row total for category C is the sum of the counts in the third row: 18 + 1 + 5 = 24.

The column total for category X is the sum of the counts in the second column: 10 + 6 + 1 = 17.

To find the expected count in the joint category of C and X, we use the formula:

Expected count = (row total * column total) / grand total

where the grand total is the total count in the table, which is 11 + 10 + 3 + 15 + 6 + 2 + 18 + 1 + 5 = 71.

Plugging in the values, we get:

Expected count in category C and X = (24 * 10) / 71 = 3.4 (rounded to 1 decimal place)

Therefore, the expected count in the joint category of C and X is 3.4.

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Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)

Answers

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

What is the midpoint of the segment with the given endpoint?

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

x₁ = -2y₁ = 5

Point Z(3,-17)

x₂ = 3y₂ = -17

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3

Answers

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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The weight of a small starbucks coffee is a normally distributed random variable with a mean of 390 grams and a standard deviation of 9 grams. find the weight that corresponds to each event

Answers

The weight that corresponds to each event can be calculated using the mean and standard deviation of the normally distributed random variable.

Since the weight of a small Starbucks coffee follows a normal distribution with a mean of 390 grams and a standard deviation of 9 grams .We can use the properties of the normal distribution to find the weight corresponding to each event. To find the weight corresponding to a specific event, we can use the z-score formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation. Rearranging the formula, we have x = z * σ + μ. For example, to find the weight corresponding to an event with a z-score of -1.5, we can substitute the values into the formula:

x = (-1.5) * 9 + 390

x = 375.5 grams.

The weight corresponding to the event with a z-score of -1.5 is 375.5 grams. Using the z-score formula, we can find the weight for any desired event we can use the properties of the normal distribution to find the weight corresponding to each event.

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Which ordered pair is a solution of the equation?

-3x+5y=2x+3y



a- only (2,4)

b- only (3,3)

c- both

d- neither

Answers

Answer: D-neither

Step-by-step explanation:

-6+20=4+12

-9+15=6+9

The sum of two consecutive odd integers is 256. What is the value of the larger integer?
A. 103
B. 127
C. 129
D. 153
E. 155

Answers

Answer:

Step-by-step explanation:

Answer:

The greatest of the integers is 129 (C).

Step-by-step explanation:

Let x be the first integer.

x + (x + 2) = 256

2x + 2 = 256

2x = 254

x = 127

127 + 129 = 256

The required value of the larger integer is 129.

The sum of two odd integers is 256. The value of the larger integer is to be determined.

What are integers?

Integers are to be defined as the number on the number line but not rational or fraction.

Here.
let the two odd integers be (2n+1) and (2n-1).
The sum of two odd integers is 256. i.e.
2n+1+2n-1=256
4n=256
n = 64
Then the two odd integers are given as,
1st = 2n+1 = 2*64+1 = 129
2nd = 2n-1 = 2*64-1 = 127
129>127

Thus, the required value of the larger integer is 129.

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The study of statistics rests on what two major​ concepts? A) Data and Context B) Variation and Number C) Variation and Data D) Average and Variation.

Answers

The study of statistics rests on two major​ concepts:

Variation and Data.

Correct option is C.

What is statistics?

Statistics is simply defined as the study and manipulation of data. Statistics deals with the analysis and computation of numerical data.

Given,

The study of statistics rests on what two major​ concepts:

Variance and Data

The basics of statistics include the measure of central tendency and the measure of variation. The central tendencies are mean, median and mode and variation, comprise variance and standard deviation.

Mean is the average of the observations. Median is the central value when observations are arranged in order. The mode determines the most frequent observations in a data set.

Hence, Variation and Data are two major concepts, on which study of statistics rely.

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Choose the correct symbol

Choose the correct symbol

Answers

Answer:

\(2,000lb < 1 t\)

Step-by-step explanation:

1 Ton = 2,240 lb


-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O

-10ious ActivityType har-510+yO-10-205Select the quadratic inequality that represengraph.Ov(x+3)-24vs-(x-3)+24v2

Answers

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

How to define the quadratic inequality?

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Roxanne owns a business and assigns two of her employees their shifts. She assigns the first employee shifts in blocks of 2 hours, and she assigns the second worker shifts in blocks of 12 hours. If both workers must receive the same number of hours, what is the minimum number of hours each must be assigned?

Answers

Well, since they have to have the same number of hours and one of them gets shifts in blocks of 12 hours, the minimum needed would be 12 hours.

one 12-hour shift is the minimum and one 12-hour shift is the same time as six 2-hour shifts.

Roxanne will need to keep that pattern (one 12-hour shift and six 2-hour shifts) to keep the hours the same.  So she could assign 12 hours, 24 hours, 36 hours, etc.

one inch of rainfall deposits 144 cubic inches (0.623 gallons) of water per square foot of surface area. in this lab, all research sites are 100 square feet in area.

Answers

The total amount of water deposited at the research site whenever an inch of rainfall occurs is 14400 cubic inches.

The first thing to do is to determine the volume of water deposited per square foot of surface area with 1 inch of rainfall.

This is given as 144 cubic inches (0.623 gallons).

To find the total amount of water that will be deposited at the research site whenever an inch of rainfall occurs, the surface area must first be determined.

All research sites are 100 square feet in area.

Now, multiply the volume of water deposited per square foot of surface area with 1 inch of rainfall by the surface area to obtain the total amount of water deposited at the research site with 1 inch of rainfall.

Volume of water deposited per square foot of surface area with 1 inch of rainfall

= 144 cubic inches (0.623 gallons)

Total surface area of all research sites

= 100 square feet

Total amount of water deposited at the research site with 1 inch of rainfall

= 144 cubic inches x 100 sq feet
= 14400 cubic inches

Therefore, the total amount of water deposited at the research site whenever an inch of rainfall occurs is 14400 cubic inches.

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of devi runs 2 km along the 400- long boundry of a field to stay fit how many rounds does she runs around the boundary​

Answers

Answer:

5 rounds

Step-by-step explanation:

Total distance = 2 kmBoundary = one round = 400 m

Number of rounds:

2 km / 400 m= 2000 m/ 400 m = 5 rounds
Distance=2kmBoundary=400mRounds:-

\(\\ \sf\longmapsto \dfrac{2km}{400m}\)

\(\\ \sf\longmapsto \dfrac{2}{0.4}\)

\(\\ \sf\longmapsto 5rounds\)

A point P lies on the line with equation y= 4-3X. The point P is a distance √34 from the origin. Find the two possible positions Of point P

Answers

The two possible positions of point P are:

(3, -5) and (0.6, 5.8)

How to find the two possible positions of point P?

We know that point P lies on the line:

y = 4 - 3*x

And that the distance between P and the origin is √34, then if the coordinates of point P are (x, y), we have that:

\(\sqrt{34} = \sqrt{x^2 + y^2}\)

Now, we can replace "y" in the distance equation by the linear equation, and also remove the square roots:

\(34 = x^2 + (4 - 3x)^2\)

Now we can solve the quadratic equation for x:

\(34 = x^2 + 9x^2 + 16 - 24x\\\\10x^2 - 24x - 18 = 0\\\\\)

The solutions are:

\(x = \frac{24 \pm \sqrt{(-24)^2 - 4*10*(-18)} }{2*10} \\\\x = \frac{24 \pm36}{20}\)

So the two solutions are:

x = (24 + 36)/20 = 3

x = (24 - 36)/20 = -0.6

To get the points, we need to evaluate y on these values:

y = 4 - 3*3 = -5   So we have P = (3, -5)

y = 4 - 3*(-0.6) = 2.2 So we have the point (0.6, 5.8)

There are the two possible positions of point P.

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trapezoid ABCD is shown on the graph if the trapezoid is rotated 90 degrees counterclockwise about the origin and the resulting image is translated 6 unit left, what are the coordinates of C

trapezoid ABCD is shown on the graph if the trapezoid is rotated 90 degrees counterclockwise about the

Answers

Answer:

3

Step-by-step explanation:

The coordinates of C'' is \(C''(x,y) = (-7,4)\).

In this question we must rotate every point of the trapezoid ABCD around the origin, which is defined by the following vectorial formula:

\(P'(x,y) = O(x,y) + (r_{OP, x}\cdot \cos \theta - r_{OP,y}\cdot \sin \theta, r_{OP,x}\cdot \sin \theta +r_{OP,y}\cdot \cos \theta)\) (1)

Where:

\(O(x,y)\) - Center of rotation.\(r_{OP}\) - Norm of the vector OP.\(\theta\) - Angle of rotation, in sexagesimal degrees.

Later, we apply the following translation:

\(P''(x,y) = P'(x,y) + (-6,0)\) (2)

If we know that \(O(x,y) = (0,0)\), \(r_{OC,x} = 4\), \(r_{OC,y} = 1\), \(\theta = 90^{\circ}\) and \(C(x,y) = (4,1)\), the coordinates of C'' are:

\(C'(x,y) = (0,0) + (4\cdot \cos 90^{\circ}-1\cdot \sin 90^{\circ}, 4\cdot \sin 90^{\circ}+1\cdot \cos 90^{\circ})\)

\(C'(x,y) = (-1, 4)\)

\(C''(x,y) = (-1,4) +(-6,0)\)

\(C''(x,y) = (-7,4)\)

The coordinates of C'' is \(C''(x,y) = (-7,4)\).

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a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)

Answers

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

Find the next five terms, then write a conjecture. 1, 1, 2, 3, 5, 8​

Answers

this is the fibonacci sequence. it’s the number plus the number before. (so the next number would be 8+5 which is 13)
so the next 5 terms are:
13, 21, 34, 55, 89

13, 21, 34, 55, and 89 are the next five terms, then write a conjecture. 1, 1, 2, 3, 5, 8​

The given sequence is 1, 1, 2, 3, 5, 8.

To find the following five terms, we continue the pattern of the Fibonacci sequence, where each time is the sum of the two preceding terms.

The next five terms are:

13, 21, 34, 55, 89

Conjecture: Based on the pattern observed in the sequence, the sequence appears to follow the Fibonacci sequence. The Fibonacci sequence is characterized by starting with two 1s, and each subsequent term is the sum of the two preceding terms. Therefore, we can conjecture that the sequence continues in the Fibonacci pattern.

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Select the correct answer.
The graph shows a line of best fit for data collected on the average temperature, in degrees Fahrenheit, during a month and the number of inches of rainfall during that month.

A graph plots age versus inches grown. The data points plotted are (1, 2), (2, 2 point 2), (3, 2 point 5), (4, 2 point 1), (5, 2), (6, 1 point 9), (7, 2 point 3), (8, 2 point 1), (9 point 2 point 5) and (10, 2 point 4). A curve fits the points.

The equation for the line of best fit is y = -3.32x + 97.05.

Based on the line of best fit, what would be the prediction for the average temperature during a month with 13.25 inches of rainfall?


46.42° F

56.38° F

49.74° F

53.06° F

Select the correct answer.The graph shows a line of best fit for data collected on the average temperature,

Answers

The prediction for average temperature is 53.06° F

Given: The equation for line of best fit:

y = -3.32x + 97.05

What is line of best fit?

Line of best fit is the line that is drawn through the points and it minimizes the error between the actual data and the predicted data.

In a regression graph, there are many scattered points and it becomes very difficult to predict a general equal if we focus on the coordinates and relations of each points. The line of best fit, is a line that passes through the center or from a position where the error between the point and the line is the minimum and it becomes easy to predict or a derive an equation or a relation.

What is a response variable?

A response variable is a variable that is dependent on one or more independent or dependent variables for it's value. So let's say in this equation y = mx + c, y is the response variable as on the change of variable x , y will have different values that is y will response differently for different values of x. Hence y is the dependent variable.

What is predictor variable?

A predictor variable is a variable that is independent of the influence from any other variable, and a change in this variable will give different outcomes. It is called predictor because or a change in it's value we can predict an outcome.

Let's solve the question that is given:

Now y is the response variable and x is the predictor variable.

From the given graph, we see

x = inches of rain

y = average temperature

To make the prediction for x = 13.25, we place the value of x in the equation of line of best fit, that is:

y(13.25) = -3.32*13.25 + 97.05 = 53.06

Hence our prediction or the response for average temperature is 53.06° F

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three points t, u, and v on the number line have coordinates t, u, and v, respectively. is point t between points u and v ?

Answers

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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How to find equation of parabola with focus and directrix.

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The order to determine whether the sample size of 81 people is adequate to compute a confidence interval for the percentage of U.S. adults who spend more than 20 hours a week on a home computer.

we must take into account the conditions for using normal approximation methods.For the normal approximation to be trustworthy, often both the sample size and the projected number of successes and failures need to be significant. A basic guideline is that both np and n(1-p) should be more than or equal to 5, when n is the sample size and p is the predicted proportion.We have 36 achievements in this case out of 81 people (those that use a computer for more than a.

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PLEASE HELP BRAINLY - which option is correct?

PLEASE HELP BRAINLY - which option is correct?

Answers

Answer:

\(y > \frac{2x}{3} + 1\)

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where m represents the slope, \((x_1, y_1) = (3,3)\) and \((x_2, y_2) = (-3,-1)\)

\(m = \frac{-1 - 3}{-3 - 3}\)

\(m = \frac{-4}{-6}\)

Simplify to lowest term

\(m = \frac{2}{3}\)

Next is to determine the equation of the line using the slope formula

\(m = \frac{y - y_1}{x - x_1}\), \((x_1, y_1) = (3,3)\)  and \(m = \frac{2}{3}\)

\(\frac{2}{3} = \frac{y - 3}{x - 3}\)

Cross multiply

\(2 * (x - 3) = 3 * (y - 3)\)

Open both brackets

\(2 x - 6 = 3y -9\)

Collect like terms

\(2 x - 6 +9= 3y\)

\(2 x+3= 3y\)

Divide through by 3

\(\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}\)

\(\frac{2x}{3} + 1 = y\)

Reorder

\(y = \frac{2x}{3} + 1\)

Next is to determine the inequality sign

The dotted lines on the graph shows that the inequality sign is either > or <Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,

The inequality becomes

\(y > \frac{2x}{3} + 1\)

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10
Mean:
Median:
Mode:
Range
Standard Deviation:

Answers

Answer:

See below.

Step-by-step explanation:

Mean:6.87

Median:9

Mode:10

Range:8

Standard Deviation:2.84

-hope it helps

graph 5sin(pi/2 x-pi) +3

Answers

The graph of the sin function 5sin(pi/2 x-pi) +3 is given as follows.

What are graphing compression functions?

A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1. Figure 3-13 illustrates the vertical stretch and compression that follow from multiplying a function by constant factors 2 and 0.5. Graph of a function illustrating vertical expansion and contraction.

Given function is:

5sin(pi/2 x-pi) +3

The graph of the sin function is shifted by 3 and is compressed by 5.

Thus, the graph is as follows.

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graph 5sin(pi/2 x-pi) +3

Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

9514 1404 393

Answer:

  400; building and equipment fixed cost

Step-by-step explanation:

The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.

The y-intercept is 400. It is the daily fixed cost of the building and equipment.

Answer:

The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.

Step-by-step explanation:

Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.

Have a good day :)

on exploration 4.3.3, what is a vertical asymptote for question 2?

Answers

A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.

The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.

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solve for a
•A=125
•A=37
•A=55

solve for a A=125A=37A=55

Answers

Answer:

37 degrees

Step-by-step explanation:

Answer:

A=37

Step-by-step explanation:

A common implementation of a graph that uses a two dimensional array to represent the graph's edges is called a(n)
a.adjacency matrix
b.graph array
c.adjacency array
d.adjacency list

Answers

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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