MATHEMATICS HIGH SCHOOL

What is (7m+5)^2 Simpler form of product

Answers

Answer 1
Answer: When that expression is expanded, it becomes 49m-squared +70m+25. To me, the original form seems simpler.
Answer 2
Answer: you can use the FOIL method(7m+5) (7x+5)=49x^2+ 70x+25hope this helps

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professor must randomly select 4 students to participate in a mock debate. There are 18 students in his class. In how many different ways can these students be selected, if the order of selection does not matter?

7th grade math help me pleaseeee

Answers

Answer:

(5, -7)

Step-by-step explanation:

There are two ways. The first is to just look at the graph and where they converge. The second way takes some math. If you would like the math explanation, let me know. I'd be happy to provide!!

I hope this helped :)

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?

Answers

Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years

Give the slope and y-intercept ofthe line.
slope = [?], y-intercept = [ ]
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Slope = 2, y-intercept = 3

Step-by-step explanation:

I will be calculating the slope of the line using these two points: (-1, 1) and (0, 3)

Slope = (rise)/(run)

          = (3-1)/(0-(-1))

          = (3-1)/(0+1)

          = 2

Based on the graph, the y-intercept is 3.

Discriminant to determine the nature of the roots of x2 + 2x + 5 = 0. a) No real roots
b) One real root
c) Two distinct real roots

Answers

discrimant = b^2 - 4ac = 2^2 - (4 x 1 x 5) = 4 - 20 = -16
Therefore, there is no real roots.

Find the area of an equilateral triangle (regular 3-gon) with the given measurement in terms with a radical. 6-inch side. A = sq. in.

Answers

Draw a straight line from the mid point of one side to the opposite vertex.Use the Pythagorean Theorem to find the length of this line. Let b = this line (the height).a^2 + b^2 = c^23^2 + b^2 = 6^29 + b^2 = 36b^2 = 27b = 5.2Now use this formula to find the area of this triangle.A = 1/2bh

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. Each year increases by 20%.
Neighborhood B: 45 homes. Each year increases by 3.

A: 30(1.20)^x
B: 45 + 3x 

A: 30(1.20)^5 = 30(2.48832) = 74.6496 or 75 houses
B: 45 + 3(5) = 45 + 15 = 60 houses
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