MATHEMATICS HIGH SCHOOL

Is relation t a function? Is the inverse of relations t a function? Relation t x 0 1 2 3
y -2 1 10 2

Answers

Answer 1
Answer: Relation t is a function because it has no repeating x values

the inverse of relation t is when u switch the x and y values.
ex. inverse of (0,-2) is (-2,0).

and yes, the inverse of relation t is also a function because there are no repeating x values.

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find the indicated terms of the arithmetic sequence with the given description. the 50th term is 1001, and the common difference is 6. find the first and second terms.

Answers

Answer:

a₁ = 707 a₂ = 713

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_(n) = a₁ + (n - 1)d

a₁ is the first term, d the common difference , n the term number

given

a₅₀ = 1001 , then

a₁ + 49d = 1001 ← substitute d = 6

a₁ + 49(6) = 1001

a₁ + 294 = 1001 ( subtract 294 from both sides )

a₁ = 707

and a₂ = a₁ + d = 707 + 6 = 713

A restaurant sells tea for $1.50 plus 0.50 per refill. The restaurant brews enough tea for 4 refills per customer . The linear function that represents the total cost of rtea refills is C(r) = 0.5r + 1.5 . Describe an appropriate domain of this function . Make sure to identify the set of numbers appropriate to the domain

Answers

4.50Answer:

Step-by-step explanation:

A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.A) 0.797%
B) 0.00797%
C) 0.833%
D) 0.00833%

Answers

Answer: C) 0.833%


Step-by-step explanation:

Given: Cost price of house = $120,000

The rate of increase of its cost = 10%

Therefore, the increase amount of house per year =10% of $120,000

=(10)/(100)*120000=\$12,000

Now, the amount increase each month=(12000)/(12)=\$1000

Let r be the rate of growth each month, then

r% of $120,000=1000

\Rightarrow(r)/(100)*120000=1000\n\Rightarrow\ r*1200=1000\n\Rightarrow\ r=(1000)/(1200)=0.833\%

Answer:

0.797%

Step-by-step explanation:

DO NOT PICK THE OTHER ANSWERS

Help !! Geometry
I need to find the measure of each angle in the figure.

Answers

Answer:

m<b=55*

m<c=125*

m<a=125*

How do you divide the decimal number 25.5/0.05

Answers

25.5/0.05 = 25  1/2 : 5/100
                = 51/2 : 5/100
                = 51/2 x 100/5
                = 5100/10 = 510

70 points.Select the correct answer.
Which relation is a function?
(Look at the photo)

Option D didn’t fit in the photo, so here’s it typed out.

x | y
10 15
20 25
8 30
20 35

Answers

Answer:

  • Option A

Step-by-step explanation:

Options B, C and D have repeat x-values with different y-values.

The relationship is many-to-one.

If graphed, those point appear on a vertical line.

Option A has one-to-one relation, so is the only functional relationship

Answer:

A is a function.

Step-by-step explanation:

All the others are one-to-many relations.

For example in B, 3 maps to 10 and also maps to 30 ( one - to - many).

A function is a one-to-one or many-to-one mapping.
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