the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q

Answers

Answer 1

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4


Related Questions

is this 8th grade class too

Answers

Answer:

I think so..I'm not really sure though, u know?

A line passing through the point(-10,-5) and has a slope of -1/2

Answers

y = -1/2x - 10

ex : -10 is x, -5 is y, -1/2 is slope

y = mx + b, m is slope, solving for b (y-intercept)

-5 = -1/2(-10)+b
-5 = 5 + b

try to get b by itself, so minus the positive 5

-5-5 = b, so -10 = b

which leads to y = -1/2x - 10
Adding onto what M1111707 said, here is that equation put onto a graph (as seen in the image)

What is dehydrogenation ?

Answers

Answer:

Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.

An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points)

a
20.45 cubic inches

b
21.34 cubic inches

c
22.44 cubic inches

d
23.78 cubic inches

Answers

Answer:

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.

graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64

1

2

3

6

Step-by-step explanation:

Answer:

c

Step-by-step explanation

First you have to find the radius.

3.5 divide by 2 = 1.75

v= 4/3 pi r ^3

v = 4/3 (3.14) (1.75)^3

v= 4/3 (3.14) (5.36)

v= 4/3 (16.83)

v= 4/3 (16.83) = (4/3) (16.83/1)

v= (4/3) (16.83/1) = 67.32/3 = 22.44

2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?

Answers

0.25 is 1/4 if that's what youre asking, i'm not sure,

In a fruit basket there are 9 bananas, 4 apples, and 3 plums.



The ratio of bananas to apples is

Answers

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

12. The square root of a number is a whole number between 50 and 100. What do you know about the number?
13. Could the square root of a whole number ever be greater than the number is? Explain.

no links please thanks

Answers

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

#12

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

50 < √n < 100

Square both sides:

50² < n < 100²2500 < n < 10000

The number is a perfect square between 2500 and 10000.

#13

Let the number is n:

√n > n

Square both sides:

n > n²n² - n < 0n(n - 1) < 0

Solution is:

0 < n < 1

The answer is yes, the number must be between 0 and 1.

what is 5000000000000 divided by 11

Answers

Answer:
45.454.545,45454545

Answer:

45.454

Step-by-step explanation:

How many arrangements can be made from the letters in the word PICCOLO

Answers

Answer:

1260

Step-by-step explanation:

This is a permutation of 7 letters with double O and double C:

7!/2!2! = 5040/4 = 1260
☆Answer :

P = 1

I = 1

C = 2

O = 2

L = 1

--------

Total (n) = 7(k) = 2(C), 2(O)

p = N! ÷ k!

p = 7! ÷ 2!2!

p = 5,040 ÷ 4

P = 1,260

percent of change original:8 new :12

Answers

Answer:

?????????

Step-by-step explanation:

What are u asking

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

Which inequality represents this graph?

A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1

Answers

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

what is the answer help

Answers

Answer:

1

Step-by-step explanation:

y=-x-1

when it is perpendicular, it is the opposite then flip the fractions so 1 and if you flip 1 it is still 1

If you take a sample of 9 pacemakers from the company, what is the probability that the mean lifetime of components in this sample will be longer than 99 months

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 9 years, hence, in months, [tex]\mu = 9(12) = 108[/tex]The standard deviation is of 1 year, hence, in months, [tex]\sigma = 12[/tex].Sample of 9 pacemakers, hence [tex]n = 9, s = \frac{12}{\sqrt{9}} = 4[/tex].

The probability is 1 subtracted by the p-value of Z when X = 99, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{99 - 108}{4}[/tex]

[tex]Z = -2.25[/tex]

[tex]Z = -2.25[/tex] has a p-value of 0.0122.

1 - 0.0122 = 0.9878.

0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.

A similar problem is given at https://brainly.com/question/24663213

Which expression is equivalent to (-x-16)



-x-16?
X-+16
-X+16
X-16

Answers

Answer:

- x - 16

Step-by-step explanation:

-x-16

Once you get rid of the parenthisis its the same equation.

Please help me what dos this mean? Giving brainliest

Answers

Answer:

Draw a picture of FOUR calculators and TWELVE pencils

Step-by-step explanation:

just double what you see in the picture

Match the expression to its simplified form

Answers

Answer:

2 exponent 5 = 32

5 exponent 3 = 125

2 - exponent 4 = 1/16

5 - exponent 2 = 1/25

Step-by-step explanation:



Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?

Answers

3:6
Times by 3
Which the answer is
9:18
That’s how you work out

Answer:

9 laps

Step-by-step explanation:

Set up a proportion

3 laps / 6 minutes = x [which represents laps]/18 minutes  Cross multiply

6*x = 3 * 18                 Combine

6x = 54                       Divide by 6

6x/6 = 54/6

x = 9

Does this graph represent a function? Why or why not?

A. No, because it fails the vertical line test.

B. No, because it is not a straight line.

C. Yes, because it is a curved line.

D. Yes, because it passes the vertical line test.​

Answers

Answer:

A. No, because it fails the vertical line test.

Step-by-step explanation:

A because is dosent pass the vertical line test

The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?​

Answers

Solving a linear equation we can see that Paxton was a member for 5 months.

How many months was Paxton a member of the pool?​

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

Find the quotient. Use a model to help you divide

6
.
15
÷
5
=
A.
1.03

B.
1.23

C.
1.3

D.
1.2

Answers

Answer:

Step-by-step explanation:

6.15/5=1.23

The answer is B.

SOMEONE PLEASE HELP IM FAILING HS

2-20. Evaluate each expression for x=-2 and y=-5.

a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y​

Answers

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)​

Answers

4a(a - b) + 3b(b - a)

= 4a² - 4ab + 3b² - 3ab

= 4a² - 4ab - 3ab + 3b²

= 4a² - 7ab + 3b²

= (a - b) (4a - 3b)

________

Hope it helps ⚜

Which of the following is NOT a solution to this system of inequalities?

with examples

Nonsense = report

Answers

Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

What annual rate of interest compounded annually is required to double an investment in 6 years?

Answers

Answer:

Approximately 12.25%

Step-by-step explanation:

The compound interest formula is:

Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)

If we want our final balance to be twice our principal, our formula looks like:

[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]

We can divide our principal from both sides to get the following equation:

[tex]2 = (1 + \frac{r}{1})^{6}[/tex]

Since anything divided by 1 is itself, we can simplify a little further to:

[tex]2 = (1 + r)^{6}[/tex]

Now, we need to solve for r.  We can start by taking the sixth root of both sides.

[tex]\sqrt[6]{2} = 1 + r[/tex]

Then subtract 1 from both sides:

[tex]\sqrt[6]{2} -1 = r[/tex]

Finally, we can use a calculator to get a decimal approximation:

0.1225 ≅ r

What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!

Answers

Answer:

2,1

Step-by-step explanation:

2,1 Correct 37$44634636444+64/+7$;+8$’codk odnicurn jfncurncjeuc

plsssssssssssssssssssssssssssssssssssssss

Answers

It’s B



Good luckkkkkkkkkkkkk
The answer would be A

Explanation:

896+ 384= 1,280

1,280 / 3,200 = .40 or 40%

Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is greater than fifty but less than sixty. What three numbers could Elizabeth have written down?​

Answers

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

which of the following has factor of (× - 4) (× - 3)?​

Answers

Answer:

Hello!

After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:

x²-7x+12

Step-by-step explanation:

This is my work:

Other Questions
in a well-developed response of at least two paragraphs, compare and contrast them. Your response must address the following in each poem: at least one element, such as conflict, characterization, or setting literary point of view at least one literary technique, such as flashback, foreshadowing, dialogue, or word choice Poetic structure the poems are the mending wall by robert frost and we real cool by Gwendolyn brooks which two body systems work together to deliver oxygen through the body? I need this answer also. As fast as possible!!! Please please A ball is launched from a slingshot. As the ball travels along its trajectory, what force(s) are acting on it? Select all that apply.Group of answer choices what is the relationship between congressional reapportionment and redistricting A filamentous decomposer with cellulose cell walls could be a(n) __________. View Available Hint(s) for Part A algae water mold fungus helminth what is the correct punctuation mark in close the door? AB, BC and CD are three sides of a regular octagon. Find the size of angle BAC. Give reasons for your answer. Lisa is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg To determine the shipping costs, Lisa needs to know the total weight in pounds. What is the weight of the cat food in pounds? Explain enumeration is an effective organization pattern for the bill of right in 5 sentences, describe integrity in your own words, using the following excerpt as a guide. If you're a new student (or can think back to when you were), you probably remember being given some information about your school's academic honesty policies during the first few days of classes. This information likely addressed, among other things, the school's requirements for submitting original work, policies regarding cheating, and expectations of student behavior. In giving you this information, your school wasn't suggesting you'd cheat; rather, they merely wanted to inform you that they expect all students to act with a certain degree of integrity.Integrity is a term used to describe a person's level of honesty, moral commitments, and willingness to do what's right. For example, we expect our doctors to be honest with us about diagnoses, won't try to prescribe medications we don't need, and will generally work in the best interest of our health and well-being. We expect this because, in most societies, doctors are perceived to be people of great integrity with strong moral compasses.Conversely, if your doctor didn't have any integrity, he or she might be strongly influenced by drug companies or bribes and might talk you into getting tests or procedures you don't need. When this happens, society takes a dim view of that personand in some cases legal charges are broughtbecause he or she was expected to act with integrity.Let's review. In general, integrity is a word used to describe a person's commitment to honesty and a willingness to do what's right. For example, a person who abstains from cheating, lying, or stealing would be considered to be a person who acts with great integrity. In most societies, integrity is an important aspect of culture and contributes to the strength of a community.In academic environments, for example, students are expected to avoid plagiarism and submit work that is entirely their own. Other areas where integrity is important include the legal and justice systems and politics. Despite its importance, though, universal definitions or understandings of integrity can be difficult to locate. This is often because the concept of integrity is a social construct, which is subjective and tends to change as societies and cultures evolve. Baby June is now 8 months of age. Her mother has noticed that, lately, June has become extremely fearful of unfamiliar people. June is displaying _____ anxiety. What is the name of the table tools contextual tab that appears once you insert a table? Transform Design Outline Charts. En tu opinin, cmo sera la familia ideal? Help me answer in Spanish What attributes do you usually associated from a doctor? Conversely, what types of behaviors do you NOT expect? Explain. The following statement is from the contract Peter signed with his Homeowner's Association (HOA). "Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security. "In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?a.His car will be towed.b.He will receive another monetary fine.c.He will receive a monetary fine and his car will be towed.d.A "boot" will be place on his car to prevent him from driving it. describe what happens in each season on a cranberry farm HELP TIMEDD!!Garett was providing nail care to a patient. He checked the patient's chart for information on what the patienttypically has done for nail care. He then checked the water temperature, checked for skin tears or breaks, andchecked for corns and calluses. What else should he do before starting nail care?O retrieve a friction-reducing deviceO check to see how long the nails should be soakedO check for alopeciaO make sure there is enough time between nail-care sessions 3 Which of the following is an emotional milestone for an intermediate school-age child? a. increased understanding that more than one emotion can be experienced ina simgle experience. b. ability to recognize one's own feelings ND ACTIONS AND OF OTHER PEOPLE. c. self-esteem based on what others tell tell him/her. d. incapable of deccenteringpaki explain narin thank you Describe what introspection is.