MATHEMATICS HIGH SCHOOL

Which number line shows the solution 1/2x-2>0

Answers

Answer 1
Answer:

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

(1)/(2)x-2>0

Solve for x

(1)/(2)x>2

x>4

The solution is the interval ------> (4,∞)

All real numbers greater than 4

In a number line, the solution is the shaded area at right of x=4 (open circle, the number 4 is not included in the solution)

see the attached figure
Answer 2
Answer:

Answer

On 4 there is a circle and the line goes to the right

Step-by-step explanation:

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There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Neighborhood A: 30 homes and increases by 20% per year
Neighborhood B: 45 homes and increases by 3 per year.

N.A = 30 (1.20)^t
N.B = 45 + 3(t)

t = 5

N.A = 30(1.20)^5 = 30(2.48832) = 74.65 or 75
N.B = 45 + 3(5) = 45 + 15 = 60

Write all the integers greater than 25/4

Answers