Which of the following (x,y) coordinates are solutions to the inequality 2x+5y<1?

Answers

Answer 1

The solution to the inequality given as 2x+5y<1 has the coordinates of (-10, 4)

How to determine the coordinates of the solution of the inequality?

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

2x+5y<1

Solving further, we need to collect the like terms

Since there are no like terms in the expression, it remains unchanged

So, the inequality becomes

2x + 5y < 1

Subtract 5y from both sides of the inequality

This gives

2x < 1 - 5y

Divide both sides by 2

The expression becomes

x < 1/2 - 5/2y

Evaluate

x < 0.5 - 2.5y

At this point, we assume any value for y and then solve for x

Assume that the value of y is 4

So, we have the following representation

x < 0.5 - 2.5 * 4

Evaluate the products

x < -9.5

This means that x is less than -9.5 when y is 4

-10 is less than -9.5

So, we have

x = -10 and y = 4

Express as ordered pairs (i.e. coordinates)

(x, y) = (-10, 4)

Hence, the coordinates of the solution is (-10, 4)

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Related Questions

PLEASE HELP ASAP!!! I WILL MARK YOU YOU BRAINLIEST
Which equations are true equations?
Select all correct answers.
39-3-6 6-10 +4
56 +8+3² - 2.2³
=
24
04-50-6²-8
82 5² 4² - 7
=
-
-

Answers

Answer:

C and A

Step-by-step explanation:

If you calculate both sides of the equation they should be equal
First one
39 - 3 x 6 =? (6 x 10)/4 + 4
39 - 18 =? 60/4 + 4
21 =? 19 false

Second
56 / 8 + 3^2 =? 2 x 2^3
7 + 9 =? 2 x 8
16 =? 16 true

Third
24 / 2^2 =? 50 - 6^2 - 8
24 / 4 =? 50 - 36 - 8
6 =? 6 true

Fourth
8^2 - 5^2 =? 4^2 - 7
64 - 25 =? 16 - 7
39 =? 9 false

5. Solve the inequality. Graph the solution.
T-9 <-6

Answers

Answer:

b

Step-by-step explanation:

because you solve it and you get B

Simplify completely. 3x+18 divided 18

Answers

solution

3x+18/18

ans4

Mike Meier purchased a lawnmower for $328.61, a lawn sprinkler for $13.27, and a hose reel for $27.96. He must pay the state tax of 5.5 percent, the county tax of 1.5 percent, and the city tax of 2 percent. What is the total purchase price?

Answers

Answer: $402

Step-by-step explanation: I believe this answer is correct i did all the math

Which table represents a function?

Answers

Answer:

C (the one which starts with x = -2 and y = -1)

Step-by-step explanation:

because for every x value there is only an y value


Write and solve a proportion for each word problem.
(9)There are 9 strawberries in a quart package. How many
quart packages do you need if you want 62 strawberries?

Answers

We will need 7 quart package if we want 62 strawberries

What is division?

Division is one of the basic arithmetic computation which divide a value in equal sets of smaller values. The other basic arithmetic computations are addition, subtraction, multiplication. We use long division method to find the quotient and remainder.

We are given that there are 9 strawberries in a quart package

Also we want 62 strawberries

Then how many quart will be required

Now we perform division to find the number of quart

62/9 = we get a value of 8.88

Which is very close to nine

Hence we will need 9 quart packages if we want 62 strawberries

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If x = -4 and y = 3, what is the value of 1/2x + 3xy^2

Answers

If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.

What is a value function?

The value function represents the optimal payoff of the system over the interval [t, t1] when started at the time- t state variable x(t)=x.

What is a variable?

A quantity that could take on any of a number of different values. : a sign that denotes a variable. : anything has a range. : a variable that might alter in a scientific experiment.

Here, we have

x = -4 and y = 3

then by putting the value of a function in a given equation, we get

1/2*(-4) + 3*(-4)*(3)²

= -110

Hence, If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.

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a.) find the test statistic
b.) what is the p-value
c.)what is the conclusion about the null hypothesis
d.) what is the final conclusion?

Answers

a) The test statistic is: t = -1.11.

b) The p-value is: 0.1342.

c) The conclusion is that the null hypothesis is not rejected.

d) The final conclusion is that there is not sufficient evidence to conclude that the population mean is of 6.

What is the test statistic?

The standard deviation for the population is unknown, only the sample standard deviation is known, hence the t-distribution is obtain the test statistic.

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which the variables of the equation are given as follows:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

For this problem, the values of these parameters are as follows:

[tex]\overline{x} = 5.83, \mu = 6, s = 2.11, n = 189[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{5.83 - 6}{\frac{2.11}{\sqrt{189}}}[/tex]

t = -1.11.

P-value and conclusion

The p-value is obtained using a t-distribution calculator, with a left-tailed test, as we are testing if the mean is less a value, with 189 - 1 = 188 df and t = -1.11, hence it is of 0.1342.

Since the p-value is greater than the significance level of 0.10, it is found that:

The null hypothesis is not rejected.There is not sufficient evidence to conclude that the population mean rating is less than 6.

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find the missing value ratio inches :2 and years: 3,1,8

Answers

Answer: The missing values in the ratio table will be 0.666 and 5.33 inches.

Step-by-step explanation:

As the ratio of the terms is equal. The value of x and y is ,

2/3 = x/1

x=2/3

x=0.66 inches

In order to obtain y,

2/3 = y/8

y=2×8/3

y=16/3

y=5.33 inches.

Josh loves to visit his aunt's house. When there, his two favorite activities are walking the dog and playing darts. Let A represent the event that he walks his dog at his aunt's house and B represent the event that he plays darts at his aunt's house. If A and B are independent events with P(A)=0.9 and P(B)=0.4, find P(A AND B).

Answers

The probability of P(A AND B) when Josh visit his aunt's house is 0.36.

What is probability?

Probability is the likelihood that an event will occur or take place.

Let A = the event that he walks his dog at his aunt's house

Let B = the event that he plays darts at his aunt's house.

When A and B are independent events with P(A)=0.9 and P(B)=0.4, the probability of P(A AND B) will be:

= P(A) × P(B)

= 0.9 × 0.4

= 0.36

The probability is 0.36.

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PLEASE HELP ME !!!
x² + 12x -
2
8 can be written in the form
(x + a)² + b, where a and b are numbers.
Work out the values of a and b.

Answers

Answer:

a = 6 , b = - 44

Step-by-step explanation:

x² + 12x - 8

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² from x² + 12x

x² + 2(6)x + 36 - 36 - 8

= (x + 6)² - 44 ← in the form (x + a)² + b

with a = 6 and b = - 44

Answer the question in the picture.

Answers

Pretty sure it’s 18

Raina, Trey, and Deandre have a total of $145 in their wallets. Raina has $10 more than Trey. Deandre has 3 times what Raina has. How much do they have in their wallets?

Answers

Trey, Raina, and Deandre have $21,$31, and $93 in their wallets respectively.

From the question the sum of the money in their wallets is:

Raina  +  Trey +Deandre=$145

      R   +    T    +       D      =$145................(i)

Raina has $10 more than Trey= ($10 + T)

Deandre has 3 times more Raina =3($10 + T)

substituting the values of Raina and Deandre in Eqn (i) we have

R   +    T    +       D      =$145

($10 + T) +  T  +{3$(10 + T)}=$145

$10 +T   +T+  $30   + 3T    =$145

                     5T   +$40    =  $145

                                5T   =   $145   -  $40

                                 5T     =    $105

                                    T      = $105/5

                                     T     =   $21

i.e  Trey   =  $21

Raina has $10 more than Trey= ($10 + T)

i.e                                               = ($10 + $21)    

                                      Raina  =$31    

Deandre has 3 times more Raina =3($10 + T)

                                                        =3($10 + $21)

                                                        =$30   +$63

                                       Deandre  =$93

Therefore the total sum of money in thier wallet is:

        Raina  +  Trey +Deandre=$145

             $31  + $21   +  $93=    $145

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Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing? a. increasing c. neither b. decreasing d. cannot be determined Please select the best answer from the choices provided A B C D Mark this and return

Answers

The function is decreasing.

Given that logb(7)≈1.946, logb(9)≈2.197, and logb(16)≈2.773, find the logarithm of logb(1/63)

b is base b

Answers

The logarithmic expression given as logₙ(1/63) has its value to be -4.143

How to determine the logarithmic expression?

From the question, the given parameters are

logₙ(7) = 1.946

logₙ(9) = 2.197

logₙ(16) = 2.773

The logarithmic expression to calculate is given as

logₙ(1/63)

Express 1/63 as 1/7 * 1/9

So, we have the following representation

logₙ(1/63) = logₙ(1/7 * 1/9)

Apply the product of logarithm

This gives

logₙ(1/63) = logₙ(1/7) + logₙ(1/9)

Apply the exponent of logarithm

This gives

logₙ(1/63) = -logₙ(7) - logₙ(9)

Substitute logₙ(7) = 1.946 and logₙ(9) = 2.197 in logₙ(1/63) = -logₙ(7) - logₙ(9)

logₙ(1/63) = -1.946 - 2.197

Evaluate

logₙ(1/63) = -4.143

Hence, the value of the logarithmic expression is -4.143

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Can anyone help me with this, I need an accurate answer also if possible. -thanks

Answers

The linear function of the table is a) g(x)=x-7

What is linear function?

 If the largest power of the variables in a function is 1, then that function is linear. A line across these two points with a straightedge is needed to complete the graph because two points determine a line. When m and b are real numbers, the slope of a linear function has the form f(x)=mx+b. To find the x-intercept, set f(x)=0 and solve for x. Because y=f(x), we can use y and f(x) interchangeably.

Here let us take g(x) as y values. In given table take any two points ,

[tex](x_1,y_1)=(0,-7)\\(x_2,y_2)=(2,-5)[/tex]

Now using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = 2/2 = 1

Now using equation formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=> y+7=1(x-0)

=> y+7=x

=> y =x-7

Then y=g(x)

=> g(x) = x-7

Therefore the linear function of the given table is g(x)=x-7 .

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Please i need help urgently thanks

Answers

Answer:

Step-by-step explanation:

rate of change

[tex]=\frac{f(b)-f(a)}{b-a} \\=\frac{f(9)-f(1)}{9-1} \\=\frac{28-20}{8} \\=\frac{8}{8} \\=1[/tex]

Simon bought a $48 table on sale at 30% off.


Select from the drop-down menu to correctly complete the sentence
0.03(50)
0.3(50)
3(50)
30(50).

Answers

Simon bought a $48 table on sale. The price of the table can be estimated by $50.

The sale propose 30% off, then an estimate for the discount can be calculated using proportion:

$50 -- 100%,

$x -- 30%

that is mathematically

Find x:

Answer: correct choice is B

i need help with this pls

Answers

Option C: The relationship between the statement cannot be determined.

What is Conditional statement?

Two independent statements can be related to each other in a logic structure called a conditional statement.

The first statement is presented with “if,” and is referred to as the hypothesis.

The second statement is linked with “then”, and is known as the conclusion.

The notation associated with conditional statements typically uses the variable p for the hypothesis statement, and q for the conclusion.

                                     p → q

Explanation for the answer:

The converse statement is notated as q→p (if q, then p). The original statements switch positions in the original “if-then” statement.The inverse statement assumes the opposite of each of the original statements and is notated ∼p→∼q (if not p, then not q).The contrapositive statement is a combination of the previous two. The positions of p and q of the original statement are switched, and then the opposite of each is considered: ∼q→∼p (if not q, then not p).

So, from the above we can clearly see that the both the statement 1 and statement are not start with "if" and "then".

Therefore, their relationship cannot be determined.

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Determine the slope-intercept form of the equation of the line parallel to y = -4/3x + 11 that passes through the point (–6, 2). y = x +

Answers

The equation of the line in slope-intercept form is y = -4x/3-6 when the line is parallel to y = -4x/3+11.

According to the question,

We have the following information:

The line is parallel to y = -4/3x + 11 and passes through the point (–6, 2).

Now, we know that the following formula is used to find the equation of the line:

y-y' = m(x-x')

In this case, m is the slope of the line.

m = -4/3

We have the following values:

x' = -6 and y' = 2

Now, we have the following expression:

(y-2) = -4/3(x+6)

y-2 = -4x/3-8

Adding 2 to both sides of the equation:

y = -4x/3-8+2

y = -4x/3-6

Hence, the equation of the line in slope-intercept form is y = -4x/3-6 when the line is parallel to y = -4x/3+11.

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Can you help me with this problems, thank you.

Answers

The probability that student will pass the test is 2/7.

What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

So, the probability that the student will pass the test:

The total number of questions are 50 and 25 questions need to be correct to pass the test.Out of 25, 15 are correct.Out of the remaining 35 questions, 10 questions need to be right to pass the best.

Probability Formula: P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total eventsP(E) =10/35P(E) = 2/7

Therefore, the probability that student will pass the test is 2/7.

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pls help with this . give only what it ask for the answers.

Answers

Answer:

(10, -1)

Step-by-step explanation:

x + 2x = 3x

-y + y = 0

11 + 19 = 30


3x = 30

3/3 x = 30/3

x = 10

10 - y = 11

y = -11 + 10

y = -1

If 3/5 of a number is 150, what is the number

Answers

Answer: 250

let the number be = x

step by step explanation:

[tex] = > \frac{3x}{5} = 150[/tex]

Cross multiply:

[tex] = > 3x = 150 \times 5[/tex]

[tex] = > 3x = 750[/tex]

Divide both side by 3

[tex] = > \frac{3x}{3} = \frac{750}{3} [/tex]

[tex] = > x = 250[/tex]

The number can be found by multiplying 150 by 5 and then dividing the result by 3. Therefore, the number is 250 by solving equations.

To find the number, we can set up the equation: (3/5) * x = 150. To isolate x, we multiply both sides of the equation by 5/3, resulting in x = 250. This means that the number is 250.

Start with the equation: (3/5) * x = 150.

To isolate x, multiply both sides of the equation by the reciprocal of (3/5), which is 5/3. This yields (5/3) * (3/5) * x = (5/3) * 150.

Simplify the left side of the equation: x = (5/3) * 150.

Multiply 5 by 150 and divide the result by 3: x = (750/3).

Simplify the fraction by dividing the numerator (750) by the denominator (3): x = 250.

Therefore, the number is 250.

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Question content area top
Part 1
Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-intercept form of the equation of a line.
Perpendicular to the line y=
1
2x−2​; containing the point ​(−3​,6​)

Answers

The equation of the line  in slope-intercept form is y = -x/12 + 23/4

How to find the equation of the line?

Given that: the line is perpendicular to the line y= 12x−2 and it contains the (−3,6).

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

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

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

y = 12x−2   and m₁ x m₂ = 12

m₁ x m₂ = -1

12 x m₂ = -1

m₂= -1/12

Line 2(unknown) with the point (−3,6):

y = mx + c

6 = -1/12 (-3) + c

6 = 1/4 + c

c = 6 -1/4 = 23/4

y = -x/12 + 23/4

Therefore, the slope-intercept form of the equation of the line is y = -x/12 + 23/4

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(MARKING BRAINLIEST) Maggie and Katie go out to dinner there a bill comes to $64.50 they are required to pay 8.5% sales tax what is the total amount Maggie and Katie have to pay ?

Answers

Answer:

$69.98

Step-by-step explanation:

8.5% of 64.50 is around 5.48 or to be exact, 5.4825 which there are no more dollar denominations beyond the hundredth place so it would be 5.48. 64.50+5.48 is $69.98.

Answer:

$69.98

Step-by-step explanation:

It is percent increase.

So, 100% + 8.5% = 108.5% which is 1.085.

64.50 × 1.085 = 69.9825

we need to round to 2 decimal places

$69.98

Dave's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 yards of tape. Dave's group decides to roll up each of their newspapers. Then, they tape each roll with 4 inches of tape. How many inches of tape do they have left?

Answers

32 inches more of tape students need.

Given that,

Students in Dave's science class are trying to build the tallest structure. Ten newspapers and two yards of tape are given to each group of kids. The decision is made by Dave's group to roll up each newspaper. Then, they use 4 inches of tape to seal each roll.

We have to find how many more inches of tape are there.

We know that,

1 yard is 36 inches.

So,

2 yards is 2 times 36 is 72 inches.

The inches of the tape they need is 10 times 4 is 40.

So,

72-40 is 32 inches

Therefore, 32 inches more of tape students need.

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Helpi really need this

Answers

Answer:

The height of the flagpole is about 25.6 feet.

Step-by-step explanation:

The figure is omitted--please sketch it.

Put your calculator in degree mode.

Let h be the height of the flagpole.

[tex] \tan(52) = \frac{h}{20} [/tex]

[tex]h = 20 \tan(52) = 25.6[/tex]

The radius of the circle below is 27 mm.
Calculate the area of the circle.
Give your answer in mm² to 1 d.p.
27 m

Answers

84.78 mm² is area of circle .

What is a circle ?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the center.Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry.

radius of the circle = 27 mm

area of the circle = πr²

                          =  3.14 * 27

                         =  84.78 mm²

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On Saturday, Bianca has $50 on her debit card when she goes out with some friends. She uses her debit card to spend $14.50 on lunch. She and her friends would like to go to see a movie, but some of her friends are out of money.

If the movie tickets cost $6.50 each, write an inequality to represent the number of tickets Bianca can buy without overdrawing on her debit card.

Answers

The inequality to represent the number of tickets Bianca can buy without over drawing on her debit card is 14.50 + 6.50x ≤ 50  .

In the question ,

it is given that

amount of money present in Bianca's Debit card = $50

amount of money spend on lunch = $14.50

cost of 1 movie ticket = $6.50

le the number of ticket = "x"

according to the question ,

the inequality is

14.50 + 6.50x ≤ 50

6.50x ≤ 50 - 14.50

6.50x ≤ 35.5

x ≤ 35.5/6.50

x ≤ 5.46

≈ 5

Therefore , The inequality to represent the situation is 14.50 + 6.50x ≤ 50  

, and the number of tickets she can buy is 5 .

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Solve for x.

please help! giving 20 points

Answers

X=4 which means angle trq is 80 you solve it by saying 12x-1 +33 = 20x
Other Questions
Why does Hazel put Raymond in the swings? Which article of the Constitution contains this passage? Article I Article II Article III Article IV? Identify the y intercept of this line b when fenesha broke her ankle, the doctor gave her a drug that eased her pain by binding with endorphin receptors. the drug that she took is an endorphin: a. agonist b. antagonist c. reuptake inhibitor d. stimulant P is inversely proportional to Q.P= 10 when Q = 1.2a) Work out the value of P when Q = 2.b) Work out the value of Q when P = 1.25 If you were camping in a rainforest for two days, your presence would cause many changes to thesurroundings. Describe two physical and two chemical changes that could occur as a result of yourexperience Select the expression that is equivalent to (x - 1).OA. 2-2x+1OB. x - 2x+2OC. x-x+1OD. x-x+ 2SUBMIT you are in bed and wish to shut your bedroom door without getting up. you happen to have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off. which one would be more effective to throw at your door to close it? a 41-year-old patient who smokes and has a remote history of seizures is newly diagnosed with type 2 dm. the patient c/o frequent bouts of sadness for 2 months. he also c/o ofanhedonia, sleep disruption, and agitation. what would be the best medication to treat this patient, given his history and symptoms? An element has a mass number of 110 and an atomic number of 55. how many protons, electrons, and neutrons does it have? 1 point a. 55 p+ 55 e- 55 n b. 110 p+ 110 e- 55 n c. 55 p+ 110e- 55 n d. 55 p+ 55 e- 110 n if the concentration of the stock (provided) cu(nh3)42 was 0.068 m, what concentration will the cu2 be in beaker cash equivalents: multiple choice include accounts receivable. are recorded in petty cash. include 5-year certificates of deposit. are short-term, highly liquid investment assets. include long-term investments. What is the fastest way to read a book? how to solve this proportion the equation 32divided ? =8 she says the value of ? is 4 does ella answer make sense ? in the simple quantity theory of money, the price level is assumed to be constant. group of answer choices true false Which graph represents the system of equations 3x + y = 3 and x + 2y = 4? please help me with this problem, i will give u brainliest. mLNM= Colette is considering switching to a cell phone plan with unlimited texting. She currentlypays $38 per month for service, plus $0.20 per text. That adds up fast!Write an equation that shows how the total monthly cost, y, depends on the number of texts,X.Do not include dollar signs in the equation.y = maria needs to buy a tent, sleeping bag, and hiking boots for a two-week camping trip in the mountains. she has never bought camping equipment before and assesses what other equipment she may require during her trip. she also asks her friends, who have gone camping before, what equipment she should buy. once she has purchased all the camping gear, she evaluates whether she made the right purchases. in this situation, maria is engaging in: