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2 years ago

Which steps should be used to graph the equation y-4=1/3 (x+2)?

Mathematics

2 answers:

guajiro [1.7K]2 years ago

8 0

When y = 4 x = -2 so its either choice 3 or 4.
The slope is 1/3 so its left 3 units and down 1 unit

Answer is choice 3.

Furkat [3]2 years ago

3 0

Alright, first off what you want to do with this equation is to get the y by itself, so move the 4 over to the other side which would make it a function. The first two option are not correct as the two inside of the bracket have to switch signs when you graph them. When you are looking at 1/3, you look at it as rise over run, meaning that you would count left 1 unit and down 3 units. So the last option would be your answer.

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Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?

Anon25 [30]

Answer:

240- 360

Step-by-step explanation:

You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.

I'm not sure if this is correct but this is how I would go about it. :)

7 0

2 years ago

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.

expeople1 [14]

320 Meters.
_
1.2/0.9=1.33
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1.33(240) =320

8 0

2 years ago

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

d1i1m1o1n [39]

If you divide 380 by 20, you get 19. To check this, multiply 20 x 19 to see 380. Hope this helps :D

6 0

2 years ago

Read 2 more answers

Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold

emmasim [6.3K]

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70 _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x and no. of small rooms is y

then

y = 2x _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70

=>4x + 6x = 70

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

8 0

2 years ago

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep

gregori [183]

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Solution:

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

$\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x$

Thus amount earned in second week = 1.05x dollars

The total amount earned in both weeks:

Total amount = Amount earned in first week + Amount earned in second week

$Total\ Amount = x + 1.05x = 2.05x$

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

5 0

2 years ago