MATHEMATICS HIGH SCHOOL

11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =

Answers

Answer 1
Answer:

Answer:   ( -8)+(6)= 14

     

                (-3)+8 = 11

               

                12+(-13) = 25

     

           -14-16= -30

 

        6+(41) =47

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Find area of the triangle 15ft 10ft 10ft

Answers

Answer:

75

Step-by-step explanation:

i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)

15height x 10base = 150 now divided by 2, 150/2 = 75

A triangle is considered equilateral has

Answers

3 equal sides and 3 equal angles
equilateral triangle means : a triangle with all 3 sides = in length

One side of a parallelogram has endpoints (3, 3) and (1, 7).. . What are the endpoints for the side opposite?. . . . (8, 1) and (6, 7). (6, 1) and (2, 3). (6, 1) and (8, 5). (8, 1) and (6, 5)

Answers

The endpointsfor the opposite side would be (8, 1) and (6, 5). The correctanswer between all the choices given is the last choice. I am hoping that thisanswer has satisfied your query about and it will be able to help you, and ifyou’d like, feel free to ask another question.

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

Add.
5x^2- 5x+1
2x^2+9x-6

Answers

Answer: C. 7x^2+4x-5

Step-by-step explanation:

Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.

On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?On what intervals is the graph of f(x)=0.5x^2-6 decreasing?

On what intervals is the graph of f(x)=(x+1)/(x-1) increasing?

Answers

f(x)=x^3-2x^2+5x+1\n f'(x)=3x^2-4x+5\n3x^2-4x+5=0\n\Delta=(-4)^2-4\cdot3\cdot5=16-60=-44
\Delta<0 \wedge a>0 \Rightarrow the graph of the parabola is above the x-axis, so the derivative is always positive and therefore the initial function is increasing in its whole domain.

f(x)=0.5x^2-6\nf'(x)=x
The function is decreasing when its first derivative is negative. The first derivative of this function is negative for x<0 so for x\in(-\infty,0) the function is decreasing.

f(x)=(x+1)/(x-1)\qquad(x\not=1)\nf'(x)=(x-1-(x+1))/((x-1)^2)=-(2)/((x-1)^2)
The function is increasing when its first derivative is positive. The first derivative of this function is always negative therefore this function is never increasing.
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