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?

what is 5000000000000 divided by 11

Answers

Answer:
45.454.545,45454545

Answer:

45.454

Step-by-step explanation:

plsssssssssssssssssssssssssssssssssssssss

Answers

It’s B



Good luckkkkkkkkkkkkk
The answer would be A

Explanation:

896+ 384= 1,280

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

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,

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 '<'.

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

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

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

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

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.

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 ⚜

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

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

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

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

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.

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)

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

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

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

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:



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

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

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.

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.

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.

percent of change original:8 new :12

Answers

Answer:

?????????

Step-by-step explanation:

What are u asking

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:

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.

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:

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