1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yan [13]
3 years ago
9

HELP ASAP Linear Equations

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

I and IV only

Step-by-step explanation:

In order for graphs to be parallel, they must have the same slope

In this case, we are looking for a slope of -2/3

We can find the other slopes by solving for y (y=mx+b)

I. 2x+3y=10

Subtract 2x from both sides

3y=-2x+10

Divide by 3

y=-2/3+10/3 This works since the slope is identical

II. 2x-3y=9

Follow a similar progression as the previous (subtract the x's and divide the y's)

-3y=-2x+9

y=2/3=3 This doesn't work since it is positive

III. 4x-6y=30

-6y=-4x+30

y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive

IV. 4x+6y=3

6y=-4x+3

y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical

Scilla [17]3 years ago
4 0

Answer:

4th choice: I and IV only

Step-by-step explanation:

Change the form of the given equation to standard form.

y = -2/3 x + 2

3y = -2x + 6

2x + 3y = 6

Now compare this equation with the 4 choices.

Any equation that has the same x- and y-terms but a different constant term is parallel.

I. is parallel.

II. and III. are not parallel.

Look at IV.:

4x + 6y = 3

Divide both sides by 2:

2x + 3y = 3/2

IV. is also parallel.

Answer: 4th choice: I and IV only

You might be interested in
What is the circumference of a circle whose diameter is 4.8 cm?
DaniilM [7]

Answer:

15.072

Step-by-step explanation:

Circumference =  πD

=  4.8π

=  15.079644737231

6 0
2 years ago
$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the
kompoz [17]

Answer:

\$2,251.02  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the total amount owed  

P is the amount of money borrowed

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1  

substitute in the formula above  

A=2,000*(1+\frac{0.03}{1})^{1*4}  

A=2,000*(1.03)^{4}  

A=\$2,251.02  

4 0
3 years ago
Read 2 more answers
A class of 32 students is organised in 33 teams every team consists of 3 students and there are no identical teams . show that t
Tresset [83]

Answer:

Step-by-step explanation:

Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).

The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.

The method is called the pigeon hole method.

6 0
3 years ago
Sofia purchased groceries worth $36 for a party. A gallon of fruit punch costs $2.25, a gallon of ice cream costs $4.50, and a g
m_a_m_a [10]

Answer:

3 gallons at 3 dollars a piece

Step-by-step explanation:

2.25 •6=13.50

4.50•3=13.50

13.50+13.50= 27.00

36-27=9

9÷3=3

3 0
2 years ago
Read 2 more answers
Is half the sum of two and a number multiplied by itself three times linear? (and how would I write it as a mathematical express
castortr0y [4]
I’m not sure if it’s linear but u write it as 2 divided by 2 to the power of three
6 0
3 years ago
Other questions:
  • Plz answer ill give brainliest i only need 3 if you answer all your a living legend
    13·1 answer
  • Does anyone know know to do this ?
    14·1 answer
  • A toy rocket is lunch vertically upward from ground level in into velocity of one 28 ft./s how long will it take for the rocket
    14·2 answers
  • Find the vertex, zero(s), and y-intercept of the graph of y = 2x2 + 8x – 90. A. Vertex: (–2,–98); zeros: (–5,0), (9,0) y-interce
    7·1 answer
  • Which is a complete list of factors of each term in the expression 15 + 20x?
    13·1 answer
  • At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of
    8·2 answers
  • Solve for t. −5t≥70
    14·2 answers
  • HELP PLEASE:
    5·1 answer
  • What is the coefficient of 8b+3.2
    6·2 answers
  • What is the arc length of PQ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!