Mathematics High School

I need this asap ty:p
Which of the following equations are equations of a direct variation? Choose all that apply.
(a) x=−2y
(b) x+2y=12
(c) 3x−2y=0
(d) 5x^2+y=0
(e) y =0.3x +1.6
(f) y−2=x

Answers

Answer 1

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x y = 6 - 1/2x This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.

(c) 3x - 2y = 0

-2y = -3x y = 3/2x This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²This is not in the form of y = kx, so it is NOT an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is NOT an example of direct variation.

(f) y - 2 = x

y = x + 2 2 is being added to x, so it is NOT an example of direct variation.

The following equations are examples of direct variation:

x = -2y 3x - 2y = 0
Answer 2

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x

This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x

y = 6 - 1/2x

This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.

(c) 3x - 2y = 0

-2y = -3x

y = 3/2x

This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²

This is not in the form of y = kx, so it is NOT an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is NOT an example of direct variation.

(f) y - 2 = x

y = x + 2

2 is being added to x, so it is NOT an example of direct variation.

The following equations are examples of direct variation:

x = -2y

3x - 2y = 0

Related Questions

The diameter is 24 cm. Find the length of arc CD.

Answers

Answer:

4pi or 12.56637061

Step-by-step explanation:

Answer: 12.57

Step-by-step explanation:

This is if it asks for the nearest hundredth

Is 2.14 a rational number

Answers

Answer: yes because you can put it as a fraction like 214/100 or more simplified if you needs or wanted to.

Step-by-step explanation:

Please help! I don't wanna fail!

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Answer:

32.55

Step-by-step explanation:

Suppose that the height H of a Ferris wheel can be modeled by the function H(t)= -16cos(3.14t/45)+24, where is T is the time in seconds. What is the maximum height of the cabin?

Answers

The answer is H(t)=5(censored)(go do your work child)

Help Plz
Will mark brainliest

Answers

Answer: 20.8ft

Step-by-step explanation:

Answer:

26/8 = 3.25

10 x 3.25 = 32.5

The answer is 32.5 ft

True or False: Similar and congruent mean the same thing.

Answers

Answer:

true

Step-by-step explanation:

Answer: False

Step-by-step explanation: Similar means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Classify the expression: 5x3+2x-3
Quadratic expression
Linear expression
Cubic expression
Exponential expression

Answers

Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.

What is the degree of a polynomial?

The degree of a polynomial is given by the highest exponent.

The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.

More can be learned about the degree of a polynomial at https://brainly.com/question/24380382

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Answer:  C: cubic expression

Step-by-step explanation:

Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

During a film festival, the first film ticket is priced at $16, and each additional ticket is $11. If Rico spends $71, then how many tickets did he purchase?

Answers

Answer:

5

Step-by-step explanation:

16 + 11x = 71

16 + -16 + 11x = 71 + -16

16 + -16 = 0

0 + 11x = 71 + -16

11x = 71 + -16

11x = 55

x = 5

PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.

Answers

Answer:

D = 272 ft

Step-by-step explanation:  hope this helps. pls mark me brainliest

Write each number in scientific notation. 1. 14,700
2. 0.00083
3. 760,000,000
4. 0.038
5. 0.38
6. 3.8
7. 3,800,000,000,000
8. 0.0000000009​

Answers

1.) 1.47 x 10^4 is the correct answer

please help to solve this

Answers

Answer:

I can do the top 2

1. a = -11

2. z = 9/2           (or nine over two in word form)

Step-by-step explanation:

You can buy 2 tickets to school carnival for $9 total.
How many tickets can you buy for $27?

Answers

Answer:

6

Step-by-step explanation:

pls brainliest

9/2=4.5

27/4.5=6

Nevaeh and Trishant are selling candy for a fundraiser. Nevaeh sold 13 boxes of plain chocolate bars and 14 boxed of mixed flavored chocolate bars for a total of $316. Trishant sold 4 boxes of plain chocolate bars and 14 boxed of mixed flavored chocolate bars for a total of $262. What was the cost for a box of each type of bars?

Answers

Answer:

13$

Step-by-step explanation:

Please help for a grade!?

Answers

Answer:

8.9

Step-by-step explanation:

Which ordered pairs are solutions to the equation 4x+2y=4?

Select the correct answer below:


(2,−6)

(1,5)

(−5,5)

(5,3)

none of the above

Answers

None of the above is the answer

The Harvey family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20 because they brought their dog. Which expression represent the total cost of their hotel stay.

80n + 20n
80n + 20
80 + 20n
80 + 20 + n

Answers

Answer:

80n + 20

Step-by-step explanation:

20 stays the same because it's a one time fee. Then, for every night the Harvey family stays, it costs them eighty dollars. So, it's 80n + 20

Answer: 80n+20

Step-by-step explanation:

80 is the cost of nights you stayed but you don’t know the number of nights they dated so you place n next to 80 and they payed an additional 20 fee so you add that to 80n

Solve 9 ax + 10 ax = 11ax + 32 for x. Assume at 0.
Can someone help

Answers

It’s undefined. Because if you replace x with 0. You will never get anything.

can u pls help me with this question asap ​

Answers

Answer:

I believe that answer A would be the best choice. It makes the most sense with what the question is asking for.

Step-by-step explanation:

Status
Exam
Find the missing length.
10
4
C=
✓ [?]
Pythagorean Theorem: a? + b2 = ?
Enter

Answers

Answer:

116

Step-by-step explanation:

A store offers a 15% discount on their pants. If the pants originally cost $30.00 what will be the discount price of the pants? (the total cost after the discount)

Answers

Answer:

The pants will either be 25.50 or 4.50. Sorry I'm not sure if 15% off 30.00 is the number minus the original price or not.

Step-by-step explanation:

Richard had 5625 marbles he decides to put them equally into nine jars how many marbles will there be in five jars

Answers

125 i believe

Step-by-step explanation:

Answer:

5625 divided by 5 is your answer. 1125 marbles in each jar.

At my school their are 12 more boys than twice the
number of girls. The total student population is 312
students. How many students are boys and how many
students are girls?

Answers

Answer:

12 boys and 300 girls

Step-by-step explanation:

There are twelve more boys than girls

The difference of a number c and 17 is more than 33.

Answers

Answer:

c-17=x>33

c=51

Step-by-step explanation:

The value of number c should be greater than 50.

It is given that difference of a number c and 17 is more than 33.

We have to find out the value of number c.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The difference of c and 17 is more than 33.

i.e.,

difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.

i.e.,

c - 17 > 33

c > 33 + 17

c > 50

Thus , the value of number c should be greater than 50.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

#SPJ2

A Mars rover descended from the rim of a crater at a constant rate. After 2 days, the rover's elevation was 106 meters. After 6 days, its elevation was 48 meters. What elevation did the rover start at? ____meters Complete the equation that describes the relationship between the rover's elevation in meters, E, and the elapsed time in days, t. Write your answer using whole numbers or decimals rounded to the nearest tenth. E= ___ t+____

Answers

Answer:

135

E = - 14.5t + 135

Step-by-step explanation:

Given that, descent rate is constant ;

Elevation after 2 days = 106 m

Elevation after 6 days = 48 m

Let

Rate of elevation per day= x

Initial elevation = a

Hence,

a - 2x = 106 - - - (1)

a - 6x = 48 ___(2)

-2x + 6x = 106 - 48

4x = 58

x = 58/4

x = 14.5 meters per day

Hence, initial elevation :

a - 2(14.5) = 106

a - 29 = 106

a = 106 + 29

a = 135

Relationship between Rover's elevation, E and elapsed time, t

E = - 14.5t + 135

-14.5 = rate per day

On a particular day 4% of the students were absent. If there are 1750 students at the school then how many were not absent that day?

a) 70
b) 1050
c) 1650
d) 1680


*pls help will mark brainliest!!!*

Answers

Answer:

A) 70

Hope this helps :)

HELP ME PLZ ITS DUE AT 11:59 AND I HAVE MORE

Answers

Answer:

Step-by-step explanation:

1: no

2 yes

3 no

4 yes

5 no

6 no

7 always

8 always

9 never

10 always

11 always

12 never

13 108

14 80

15 70

16 123

17 38

18 167

19 10

20 154

a motorcyclist sets out on a road trip traveling at a constant rate of 45 mph. one half hour after she leaves, her friend discovers that the motorcyclist forgot her duffel bag driving at a rate of 60 mph the friend sets out in the car to catch up with her

Answers

Answer:

1. 45

2. 60

Step-by-step explanation:

i did it and got it right

Answer:

the answer is 45 and 60

Step-by-step explanation:

There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?

Answers

Answer: $5.19

Step-by-step explanation:

If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.

40 * 52 = 2080 working hours

Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.

$900 * 12 = $10800

Divide $10800 by 2080 working hours to get how much he needs to make per working hour.

10800/2080 = approximately 5.19, rounded down from the nearest hundredth

He needs to make $5.19 per hour, so the answer is the last option.

The correct answer is 5.19

A linear equation is shown on the graph. Which equation best represents the
relationship between x and y?
SOMEONE PLEASE HELP ASAP

Answers

Answer:

y=2x+1

Step-by-step explanation:

God loves you and he cares about you so repent becuase he is coming soon

Answers

Answer:

Yes god is really good

Step-by-step explanation:

Facts Trust in god and everything will be okay:)



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