Below are some guidelines to help you with the 6.05 assignment 1. Draw a line that intersect the rainbow in two places. Tell me the coordinates of the two places where it crosses. These are the solutions to the system. I would pick the points (-6,0) and (0,36) since these are
easy points that are already marked on the graph. (it could be any 2 points but these are easy)
To make the equation of this line first find its slope. The slope will be m-(360)/(0-(-6))
This gives us 36 / 6 or a slope of m-6
We know the y-intercept is (0,36) since this is where the line will cross the y-axis.
So we use the formula yumub to write and equation. So we gety - 6x + 36.
2. Does this line have a positive slope (rises to the right) or negative slope (falls to the right).
3. The domain are the x-values of the rainbow (parabola). Tell me the left x endpoint and the right x endpoint
4. The range are the y-values. Tell me the lowest y and the highest y on the rainbow.
5. the x-intercept are the x-coordinates where the rainbow crosses the x-axis.
6. the y-intercept is where the rainbow crosses the y-axis. Tell me this point.
7. Create your own plece-wise graph

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

step-by-step explanation: