Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10

y<3/4x-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the inequalities as

y>-2x+3

y<1/2x-2

Graph the inequalities on the graph tool

The solution is  points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)

The point (-2,3) is not included in the solution area because it is located in the un-shaded area.

Mathematically, taking points (-2,3) into the inequality

y>-2x+3

3>-2(-2) +3

3>4+3

3>7---------------------not correct because 3<7


Related Questions

What is the answer to 4 1/3 - 1 1/5

Answers

Answer:

3 2/15 or approximately 3.13

Step-by-step explanation:

4 1/3 - 1 1/5

=13/3 - 6/5

= 47/15

=3 2/15 or approximately 3.13

Which function is shown in the graph below? On a coordinate plane, a function is shown. The curve starts in quadrant 4 and curves up to quadrant 1. It goes through (0.5, negative 0.4), (1, 0), and (6, 1). y = log Subscript one-sixth Baseline x y = log Subscript 0.5 Baseline x y = log Subscript 1 Baseline x y = log Subscript 6 Baseline x

Answers

Answer:

c

Step-by-step explanation:

The y-values of the graph increases as the value of x increases, which

indicates that a characteristic of the base of the logarithm function.

Correct response:

The function that corresponds with the graph is; [tex]\underline{\mathrm{y = log_6 x}}[/tex]

How can the function of a log graph be determined?

The given points on the graph are;

The point where the graph starts = Quadrant 4

Direction of the graph = From quadrant 4 to quadrant 1

Points on the graph are;

(0.5, -0.4), (1, 0), and (6, 1)

The given options are;

[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]

[tex]y = \mathrm{log_{0.5} x}[/tex]

[tex]y = \mathrm{log_1 x}[/tex]

[tex]y = \mathrm{log_{6} x}[/tex]

From the shape of the graph, in which, log x increases as x increases, therefore;

The base, b, of the logarithm is larger than 1, given that we have;

[tex]\mathbf{log_bx} = y[/tex]

[tex]\mathbf{b^y} = x[/tex]

From the given coordinate points, x increases as y increases, therefore;

b > 1

The possibly option is therefore, y = log₆x

Verifying, we have;

At x = -0.4, y = 0.5

[tex]b^y = x[/tex]

[tex]6 ^{(-0.4)}[/tex] ≈ 0.488

Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x

At the point (1, 0), we have;

6⁰ = 1

Therefore, the point (1, 0), is on the graph of y = log₆x

At the point (6, 1), we have;

6¹ = 6

Therefore, the point (6, 1) is on the graph of y = log₆x

The function of the graph is therefore;

[tex]\underline{ \mathrm{y = log_6 x}}[/tex]

Learn more about logarithmic functions here:

https://brainly.com/question/7434809

Which ratio is the same as 2/3?​

Answers

Answer:

The ratio 2 : 3 is the same as the ratio of 6 : 15.

I dont know  if that the same at what you refer.

Answer:

4/6, 6/9, 8/12, 10/15

Step-by-step explanation:

Basically you keep adding 3 to the denominator, and multiply the numerator by 2

What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9

Answers

Answer: Center (3,-5); radius 3

Step-by-step explanation:

The center and radius of the circle defined by the equation is (3, -5) and 3.

What is Equation of Circle?

The standard equation of a circle is given by:

(x-h)² + (y-k)² = r²

Where (h,k) is the coordinates of center of the circle and r is the radius.

We have Equation,

x² + y² -6x + 10y +25= 0

Now, rearranging the terms

x² -6x + y² +10y +25 = 0

Now, add and subtract 9

x² -6x + 9 + y² +10y +25  -9 = 0

(x-3)² + (y+5)² = 3²

(x- 3)² + y(-(-5))² = 3²

So, the Centre of Circle is (3, -5) and the radius is 3.

Learn more about Equation of Circle here:

https://brainly.com/question/29288238

#SPJ5

Formula to convert 220 oz to grams

Answers

Answer:

For an approximate result, multiply the mass value by 28.35

Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)

Answers

Answer:

0.9830 = 98.30%

Step-by-step explanation:

Find the equation of the line. Use exact numbers. y = _x+_

Answers

The answer is y=4x-9

Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.

Answers

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Tultiplication and Division
17. During the last basketball season, Tanisha played in 16 games and averaged
18 points per game. Find her total points by using the verbal model below
to write and solve an equation.
Total points
Average points
per game>
Number of games played
18. A printer prints documents at a rate of 12 pages per minute, A copier
copies documents at a rate of 10 pages per minute.
a. Write and solve an equation to find the time it takes to print a 24-page
research paper.
auntion to find the time it takes to copy a 50-page
Nii

Answers

Answer:

288 points

2 minutes

5 minutes

Step-by-step explanation:

Given that :

Average point per game = 18 points

Number of games played = 16

Total points claimed = number of games played * average points per game

Total points = 18 * 16 = 288 points on average

Print rate = 12 pages per minute

Copying rate = 10 pages per minute

To print a 24 page research paper :

Time taken = number of pages / printing rate

Time taken = 24 / 12 = 2 minutes

To copy a 50 page paper :

Time taken = number of pages / copying rate

Time taken = 50 / 10 = 5 minutes

Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.

Answers

Answer:

Step-by-step explanation:


Find the values of m and n.

Answers

Answer:

[tex]m=46^{\circ},\\n=22^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:

[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]

Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:

[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]

Answer:

M = 46°

N = 22°

Step-by-step explanation:

Value of M:

Sum of angles in triangle = 180°

180° - 90° - (180° - 136°) = m

90° - 44° = m

m = 46°

Value of N:

The triangle is isosceles (marked by the two congruent lines with the tick)

That means that the other two angles, are the same

180° - 136° = 2n

44° = 2n

n = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

ANSWER ASAP! WILL MARK BRAINLIEST!

Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7

х|у
4|5
6|4

х|у
2|8
8|5

x|y
2|10
6|14

x|y
2|9
8|6

Answers

Answer:

The first and last set

y = (-1/2) + 10

Step-by-step explanation:

Two points form a line

The first and last set have a slope of -1/2

and b intercept of 10

х|у

4|8

6|7

y = (-1/2) + 10

and

x|y

2|9

8|6

y = (-1/2) + 10

The requried, tables that represent the same function are tables 1 and 3.

What is function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.

Here,
The tables that represent the same function are:

x|y

4|8

6|7

x|y

2|8

8|5

For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.

The other tables do not represent the same function, as they have different outputs for the same input values.

Learn more about function here:

brainly.com/question/21145944

#SPJ7

Terry has a savings account that pays 1.9% interest per year. Terry’s grandmother opened the account for him on his 10th birthday and deposited $500. How much will Terry have in the account on his 14th birthday if no other deposits or withdrawals are made? Interest earned each year is added to the account at the end of the year.

Answers

Answer:

he will make 38 dollars by his 14th birthday

Please help me. I dont have much time! Thank you if you decide to help tho​

Answers

It would either be C or D I think.

Answer:

D. They have the same slope, and the same y-intercept so they have infinitely many solutions.

Step-by-step explanation:

Graphing these lines shows that both lines are the exact same line, and cannot have a point of intersection. Solving the equations shows you a value that is ultimately always correct; such as 0=0. This can be used as proof that "They have the same slope, and the same y-intercept so they have infinitely many solutions" because either equation can be rearranged to equal the other.

The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?

Answers

Answer:

118.7

Step-by-step explanation:

180-61.3

Mr. Q’s class is having a give away where his students can
receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not
eligible to win a second time. If there are 40 total people in the class, including you and your
best friend.

What is the probability that both you and your best friend get the 100 classroom credits?

Answers

Answer:

2.5 I think

Step-by-step explanation:

Mark borrowed $5,500 at 11.5 percent for five years.

How much did Mark pay in interest?

$1,150

$1,520

$1,757

$2,300

Answers

Answer:

   $ 1 , 150

Step-by-step explanation:

What is the volume of the cube

Answers

Answer:

the answer should be V = a³=2³=8cm³

Answer:

8cm

Step-by-step explanation:

The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.

what is 90divided by 9??​

Answers

Answer:

10 bc 9 • 10 = 90

Step-by-step explanation:

The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?

Answers

Answer:

20.57

Step-by-step explanation:

Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?

Answers

Answer: A’ (1, 3)

Step-by-step explanation:

Reflecting in the y-axis will only reverse the x values

4 × 7/8 = ? 4 × 6/8 =?

Answers

Answer:

4 × 7/8 = 3.5

Step-by-step explanation:

4 × 6/8 = 3

Answer:

3.5 and 3

Step-by-step explanation:

Detailed results will be available only after the quiz has closed.
Question 8
5 pts
ve
Education
Dale conducted a survey of students in his classes to see the distribution of eye color.
The results are shown:
Eye color
Number
Blue
12
Brown
58
Green
2
Hazel
8
If the distribution of eye color in Dale's grade is similar to the distribution in his classes,
about how many of the 360 students in his grade would be expected to have brown
eyes?
0 54

Answers

Answer: 10%

Step-by-step explanation:

can i have brainliest

Need help ASAP plz !!!!!

Answers

Answer:

yep that is correct!

Step-by-step explanation:

Theorem of Pythagoras

hopefully the picture is clear and understandable!

:)


Pls someone help me

Answers

area of triangle = base x height over 2
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108

add
108 + 108 + 60 + 60 = 336 square units

-7(-2y-x+3)
7(-2y-x+3)

Answers

Answer:

14y+x-21

-14y-x+21

Step-by-step explanation:

At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)

Answers

Answer:

At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.

Step-by-step explanation:

The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )

Now , the success is one of your customers once every 9 weeks

So , p = 1/9

q = 1 - p = 8/9

x = 4

Number of trials n = 52 weeks

And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is

P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

Substituting the values in the equation , we get

P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸

On simplifying the equation , we get

P ( x ≤ 4 ) = 0.3008

P ( x ≤ 4 ) = 30.08 %

Therefore , the value of P ( x ≤ 4 ) is 30.08 %

Hence , the probability of no more than 4 incidents is 30.08 %

To learn more about binomial distribution click :

https://brainly.com/question/29350029

#SPJ2

How do you make an array of 5/6 x 3/4 ?

Answers

well 5/6 x 3/4 is 15/24 so you’d do 24 dots across in 15 rows

Find the value of x or y so that the line through the points has the given slope.

Answers

Answer:

x= -6

Step-by-step explanation:

(-1+5)/(x+3) = -4/3

4/(x+3)= -4/3

-4(x+3)= 3(4)

-4x-12= 12

-4x= 24

x= -6

Can a person train to become better at holding their breath? An experiment was designed to find out. A group of 12 volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds):

Group 1: 90, 88, 70, 110, 75, 105

Group 2: 40, 48, 35, 50, 55, 62

The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than the true mean amount of time volunteers without training held their breath. The researcher tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 > 0, where μ1 = the true mean amount of time that volunteers who were given training held their breath and μ2 = the true mean amount of time that volunteers without training held their breath. The conditions for inference are met. The standardized test statistic is t = 5.44. What is the P-value of this test closest to?

Answer is A, 0

Answers

The null hypothesis may be significantly rejected. Choose A, 0, for the closest response.

What does "true mean" refer to?

In statistics, the term "true mean" refers to the true mean of a population or set of data.

It is typically unknown; hence it is estimated using inferential statistics using a sample.

For group 1, s1²= 250.67

group 2, s2² = 96.27

t= 5.44 which is the difference of mean.

Given the data values:

Group 1: 90 88 70 110 75 105

Group 2: 40 48 35 50 55 62

For group 1, n1 = 6

group 2, n2 = 6

Given that H_o= u1 - u2 = 0

H_a = u1 - u2 > 0

To find the t-test about the difference, we would use the formula to solve.

The totals are displayed below:

x1 = 538

x2 = 290

(x1-x2) ² = 1253.3334

x2-x2= 0

(X2-x2) ² =481.3334

For group 1, s1²= 250.67

group 2, s2² = 96.27

t= 5.44 which is the difference of mean.

To know more about statistics, visit:

brainly.com/question/15525560

#SPJ1

Other Questions
What was life like for free African-Americans in the north cual es el resultado de 5-4(6-12) Which characteristics is most important to look for when choosing a shoe for physical activity?A:a firm, molded inside to stabilize the footB:a sole that is exactly the same height at the heel and the toeC:a cushioned heel cup to protect the heel from impactD:a sole at least as wide as the upper part of the shoe what is a 5 digit code with no spaces puzzle #2 energy transformation? ead the two excerpts about Pilar from Dreaming in Cuban.Excerpt 1: They called me brujita, little witch. I stared at them, tried to make them go away.Excerpt 2: Another woman, an elderly mulatta, claimed that her hair was falling out from the menacing stares the baby gave her.Which statement is the best synthesis for the two excerpts?Most Cuban women rely on the services of nannies when raising their children.Supernatural experiences are frequently dismissed as being coincidental in Cuban culture.Inexplicable events are sometimes interpreted as supernatural experiences in Cuban culture.Many Cuban children remember the earliest events of their childhood. Plz help me well mark brainliest if correct .......????? The diagram below represents two flies.They look similar but they can not sexually reproduce with each other and produce offspring. This means that the two flies most likely belong to (1) the same kingdom and same species (2) the same kingdom, but different species3) different kingdoms, but same species (4) different kingdoms and different species (I can't put the picture my bad) Where in your home would you most likely be if you were having dinner with your family?A. el dormitorioB. el baoC. el comedorD. la cocinaE. la sala de estar expand and simplify (3x+4)(2x+3) 3. Simplify:a) 4a - 3b + a - 2b the difference between Musicals Vs. Stage plays How are tropical rain forests and temperate forests different? Read the excerpt from act 4, scene 3, of The Tragedy of Julius Caesar.BRUTUS. Bear with me, good boy, I am much forgetful.Canst thou hold up thy heavy eyes a while,And touch thy instrument a strain or two?LUCIUS. Ay, my lord, ant please you.BRUTUS. It does, my boy.I trouble thee too much, but thou art willing.LUCIUS. It is my duty, sir.BRUTUS. I should not urge thy duty past thy might.I know young bloods look for a time of rest.LUCIUS. I have slept, my lord, already.BRUTUS. It was well done, and thou shalt sleep again.I will not hold thee long. If I do live,I will be good to thee.[Music, and a song]This is a sleepy tune. O murderous slumber,Layst thou thy leaden mace upon my boy,That plays thee music?Gentle knave, good night;I will not do thee so much wrong to wake thee.If thou dost nod thou breakst thy instrument;Ill take it from thee, and, good boy, good night.Let me see, let me see, is not the leaf turned downWhere I left reading? Here it is, I think.What does this interaction reveal about Brutuss character? Select two options.He uses music to help him relax.He is cruel and selfish.He cares about those who serve him.He takes advantage of his servants.He puts his own needs before the needs of Rome. Choose the correct verb of Saber and Conocer.1. Yo_a Maria. Ella es mi amiga2. Me encanta viajar, tu_el oceano pacifico?3. Yo creo que_a tu hermano Carlos4. Nosotros_sobre la historia de Roma g Both transduction and transformation establish that DNA is the genetic material of most living organisms. Both processes involve transfer and expression of DNA from cell to cell. What then is the difference between the two processes: Question 27 options: transduction is mediated by a phage while transformation requires a plasmid Both processes are mediated by a virus transformation is accomplished by a virus, and transduction is carried out by a bacterium transformation is carried out by random uptake of DNA, and transduction by a bacterial virus none of the choices are correct Meg scored 45, 48, and 56 points on three tests. How many points should she get on the fourth test to get an average score of 60? 49.67 points 52.25 points 91 points 93 pointsno bots, no scams, no "who knows" or "dont know"forbidden answerers/users: gabesandoval08, liveliveliv What are your predictions about high school? The Inca adapted to their land by making terraces for farming. How would this technique make farming easier and increase production in the highlands of the Andes? The human body is made up of several organ systems that work as a unit to allow the body to function properly. When the body is invaded by the E. coli bacteria from ingesting undercooked meat, a person will likely experience diarrhea, nausea, and vomiting. Which of the following system failed to do its job?(Ill give brainliest)A. Digestive SystemB. Excretory SystemC. Nervous System D. Immune System I'LL GIVE BRAINLIEST AND 20 POINTS, PLEASE HELPPPWhat is Marios profession in the following scenario?Mario visits with an eight-year-old client who has just learned she is allergic to gluten. He wants to come up with a diet plan to help her manage her new food restrictions.nutritionistpediatriciandietitianallergist