If x = 3, y=-1 is a solution of the equation 3x - 2y = k, then k is :
(a) 12
(b) 10
(c) 7
(d)11

Answers

Answer 1

Answer:

11

Step-by-step explanation:

So you replace each letter with it's numerical value.

Note that in arithmetics the sign is critical so observe it.

For this equation, if you solve for k by replacing the known variables with their actual value you get this:

3(3)-2(-1)=k

As stated earlier, the signs are important. When you multiply a negative number with another negative number the sign becomes positive (+).

For this case, -2*-1=+2 and 3*3=9

So, k=2+9

k is therefore 11


Related Questions

Can my grade go up to an A within 3 weeks if i just do class work?

Answers

Answer:

da_mn the struggle is real

Step-by-step explanation:

An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)

Answers

Answer:

- 166

Step-by-step explanation:

First step is to evaluate 7*3

7*3 ( with p = 7 and q = 3 )

= - 5(3) + 7²

= - 15 + 49

= 34

Now evaluate

2*34 ( with p = 2 and q = 34 )

= - 5(34) + 2²

= - 170 + 4

= - 166

The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.

Answers

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

Factorise: 3x²+17x+10

Answers

The answer is (x+5) (3x+2)

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?

Answers

25% of 28 is 7.
The club decreased to 7 ski members

Answer:

210

Step-by-step explanation:

25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.

write an Algebraic expression for 3 times X squared minus 4 times X

Answers

Answer:

3x2 - 4x

Step-by-step explanation:

this is the algebric expression

3x^2 - 4x

Of course, if you are writing this down, just square the x

What is the answer to number 4 ?

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.

Answers

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Independent variableInput valueX-value

Range

Dependent variableY-valueOutput value

Hope this helps!!

what’s the system for 5x+21y=103 and -5x+23y=29

Answers

y=3 and x=10 (you can get y by adding the 2 equations and then you can get x by substituting the value of y)

……………………………..

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

100 points if u get this wrong ty!

Answers

Answer:

39 cm²

Step-by-step explanation:

Area of trapezoid:

A = 1/2(b₁ + b₂)h

Substitute values:

A = 1/2(9 + 4)*6 = 39

Answer:

39 cm²

Step-by-step explanation:

Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]

=> [tex](\frac{4 +9}{2}) 6[/tex]

=> [tex](\frac{13}{2} )6[/tex]

=> 13 x 3

=> 39 cm²

Hoped this helped.

Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?

Answers

Divide 10 by 2 than separate both groups into 5 sections in each activity

There are 5 ways you could choose the group in tennis.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The total no of students is 16,

As there can be only a maximum of 10 students in a group,

If the student in Swimming is 10 then in Tennis it will be 6,

If the student in Swimming is 9 then in Tennis it will be 7,

If the student in Swimming is 8 then in Tennis it will be 8,

If the student in Swimming is 7 then in Tennis it  will be 9,

If the student in Swimming is 6 then in Tennis it will be 10,

Therefore, there are 5 ways you could choose the group in tennis.

To know more about division:

https://brainly.com/question/27566440

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Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?

Answers

Answer:

Gross Pay for 1 paycheck

Deductions for federal tax, state tax, and city tax hope it helps :)

Step-by-step explanation:

The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.

What is gross pay?

Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.

How to find net pay?

1) Gross paycheck=2*40*25.5=$2040.

2) Federal tax=2040*21%=$428.4

3) State tax=25=$25

4) City tax=2040*12%=$244.8.

5) Deductions=2040*12.45=$252.96.

6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)

=2*[2040-428.4-25-244.8-252.96-117]

=1943.68

7) Net annual salary=12* net monthly income.

=1943.68*12  ( 1year= 12 months)

=$23324.16

Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.

Learn more about gross pay at https://brainly.com/question/11274742

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Which function represents a reflection of f(x)=3/8
(4) across the y-axis?
O g(x) = - a)
O g(x) = - 3 (4%
o g(x) = (4)
O g(x) = 2 (4)*

Answers

Answer:

Step-by-step explanation:

Reflecting a function across the Y axis means replacing x with -x.

First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.

Second one is also a no, the original one is always positive, the second one is always negative.

3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]

4th one is the charm.

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.

This will cause the function to be reflected across the y-axis.

So,

The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:

g(x) = (3/8) 4^(-x)

We replaced x with -x in f(x) and simplified to obtain g(x).

Therefore,

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

Learn more about functions here:

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answer it pls
pls
pls

Answers

Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

3. A dish contains 100 candies. Juan removes candies from the dish each day and no

candies are added to the dish. On day 1, Juan removes 1 candy. On day 2, Juan

removes 2 candies. On each day that follows, Juan removes 1 more candy than he

removed on the previous day. After day n, Juan has removed a total of at least 64

candies. What is the smallest possible value of n?



Please give answers and how to solve it step by step thank you!!!

Answers

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

Which of the following represent opposites? –1 and 2 10 and 0 –20 and 21 11 and –11

Answers

Answer:

I am also indian i know this solution if you want to know commet here


pls help! i will mark you brainliest !

Answers

Answer:

24

Step-by-step explanation:

a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote

Answers

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999

Help plzz
How does robby respond to keith confessing his fear of chickens

Answers

The way that Robby responds to Keith confessing his fear of Chickens is;  by sharing that makes robby uneasy.

What is the message in the text?

From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.

Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.

Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.

Read more about message in text at; https://brainly.com/question/25904079

Geometry- Solve the portion. Question#3​

Answers

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

the sum of the three consecutive integers is -105 what are the three numbers?

Answers

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Let first number=x, second number=x+1, third number=x+2
Equating the sum of three number to -105 and finding x, the three integers are -36,-35 and -34

A laptop computer is purchased for 3100. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth $600 or less

Answers

Answer:7 to 9? Years

Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.

Answer:

6 years

Step-by-step explanation:

Y = IA (r)^t

600 = 3100 (.75)^t

then just solve for T i recommend using guess and check, but thats me

and youll get 6 years.

Marking Brainlest! 20pts. Thanks


The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.

y = 5x + 120

What does the number 5 in the equation mean in this context?

A. There were 5 customers per night when the restaurant opened.


B. The average number of customers per night decreased by 5 each month.


C. The restaurant has been open for 5 months.


D. The average number of customers per night increased by 5 each month.

Answers

Answer:

the answer is C trust me by

What is the volume of a sphere with a surface area of 64 pi cm^2?

16 pi cm^3

21 1/3 pi cm^3

48pi cm^3

85 1/3 pi cm^3

Answers

Answer:

Hello, have a great day.

Answer:

85 1/3 pi cm3 I hope this helps.

kokokokokkokokokokokookokokk.

Answers

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm​

Answers

Answer:

1 cm

Step-by-step explanation:

Divide the complex numbers. Write the answer in the form a + bi. (30 points)

Prefer work shown as it would be super helpful, thank you.

Answers

We make use of the identity,

a² - b² = (a - b) (a + b)

with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :

(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74

Expand the numerator on the right side:

(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74

(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74

PLEASE HELP ME THIS I DUE MONDAY

Which of the following is the best definition of a unit rate?
A) A unit rate is two ratios that have the same value.
B) A unit rate is a rate that has a denominator of one unit.
C) A unit rate is a ratio of two quantities that have different units.
D) A unit rate is something that uses division to compare two numbers

Answers

Answer: B

Step-by-step explanation: A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator.

Would appreciate brainly <3

Answer:

Unit rate means a ratio between two units values, where the unit in the denominator is always one.

Step-by-step explanation:

You can write which one is easy for u.

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR

Answers

Answer:

c. CBA = PQR

Step-by-step explanation:

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