MATHEMATICS HIGH SCHOOL

Which set of ordered pairs represents y as a function of x?{(2,-1), (4, -2), (6, -3), (8, -4)}
{(0, 0), (1, 1), (1, 0), (2, 0)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}

Answers

Answer 1
Answer:

Answer:

{(2,-1), (4, -2), (6, -3), (8, -4)}

Step-by-step explanation:

The other ordered pairs have a common domain value which means they are not a function.

For example:

{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating

However

{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)

I hope you can see the pattern now

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Factor the expression 9x^2 -49

The sum of two integers is -123.If one of them is 325 , what is the other?

Answers

Answer:

The other integer is 448

Step-by-step explanation:

Let's say the other integer is 'x'

The sum of two integers is -123.If one of them is 325

Let's set an equation to find the otherinteger. The required equation is

-123 + other \: integer = 325

-123 + x = 325

Add 123 on both sides,

-123 + 123 + x = 325 + 123

x = 448

Hence the other integer is 448

26 students in a hostel have provisions for 60 days if 10 more student are admitted to the hostel for how many days would the provisions be enough?​

Answers

Answer:

About 43 days

Step-by-step explanation:

Let's assume that the provisions in the hostel are consumed at a constant rate by each student per day. To find out how long the provisions would last with an additional 10 students, we need to consider the total number of students after the new admissions.

Initially, there are 26 students, and the provisions last for 60 days. Therefore, the total provision "student-days" is 26 students multiplied by 60 days, which equals 1560 student-days.

If 10 more students are admitted, the total number of students becomes 26 + 10 = 36 students.

To calculate how many days the provisions would last for 36 students, we divide the total provision "student-days" by the new total number of students:

1560 student-days / 36 students = 43.33 days (approximately)

Therefore, with 10 more students admitted, the provisions would be enough for approximately 43 days.

Answer:

44 days for the 36 students.

Step-by-step explanation:

Let's break down the information given:

Initially, there are 26 students in the hostel and provisions for 60 days. This means that the total "student-days" that the provisions can support is 26 students * 60 days = 1560 student-days.

Now, 10 more students are admitted to the hostel. So, the total number of students becomes 26 + 10 = 36 students.

We want to find out for how many days the provisions will be enough for these 36 students.

We can set up a proportion to solve this:

Initial student-days = New student-days

1560 student-days = 36 students * x days

Now solve for x:

x = 1560 student-days / 36 students

x = 43.33 days

Since you can't have a fraction of a day, we'll round up to the nearest whole day. Therefore, the provisions would be enough for approximately 44 days for the 36 students.

Six is less than or equal to the sum of 4 and -2x

Answers

6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x

When you divide by a negative number, the inequality sign turns to the other side.

Cammile wants to make fruit drinks.The direction to make one drink include mixing 4 cup of yogurt and 1 cup of ice with the amount of each fruit shown8
5 cup of banana slice
8
2 cup of blueberries
8
Part A
Camille wants to make six drinks for her friends.How many total cups of blueberries and banana slices will she use to make the 6 drinks?Show your work
A:7 B:12 C:30 D:42
8. 8. 8. 8
Part B:
Next Camille will add the yogurt and ice.how many yogurt and ice will she use to make 6 drinks?Show your work or explain your answer.
Enter your answer and work or explanation in the space provided.

Answers

Part 1) D:42. you have to multiply each of the ingredients quantity by six, then add those total numbers together.

Part 2) 24 cups of yogurt, and 6 cups of ice. Again, you need to multiply the quantity of the ingredients by 6.

Three of the thirty computers are out of service (not working). What percent are working?

Answers

Answer:

Percentage of computers working equals:

90%

Step-by-step explanation:

Three of the thirty computers are out of service.

Number of computers working=30-3=27

Total computers=30

Percentage of working computers=

                                                       =  

                                                       = 90%

Hence, Percentage of computers working is:

90%

Answer :

90%

Step-by-step explanation:

3/30 = 10% and the remaining percent is 90%

If $85 is put in an account that gets 8.5% and I add $15 per year, how much will I have at the end of 8 years?

Answers

FV=PV(1+i)^n

FV =$ [85(1+0.85)^8]

FV=$ [85(1.85)^8]

FV= $ 222.21
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