Step-by-step explanation:
to write a line equation we need minimum of two points. basicaly a line is written in the form y=mx+c where, m is the slope of the line and c is the intercept made by the line on x-axis (OR) or if two points (x1,y1) and (x2,y2) are given then we can form a line equation as (y-y1)= (y2-y1)*1/(x2-x1) *x-x1 (OR) (y-y2)= (y2-y1)*1/(x2-x1) *x-x2
Answer: y= -3/8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
1.
5514 divided by 82 you have to find out how many times 82 goes into 551 (because it won't go into 5 or 55 now 82 goes into 551 6 times and you multiply 82 and 6 to get 492 (which is the closest you can get to 551 without going over) now you subtract 551-492 to get 59 now you carry down your 4 and add it to the end of the equation and your number changes into 594 now 82 times 7 is 574 when you subtract you get 20 now you add a decimal point and you carry down the 0 to make your number 200 now you do 82 times 2 to get 164 when you subtract you get 36 now you carry down the 0 and get 360 so you multiply 82 by 4 to get 328 so your answer is 67.24.Hope this helps. I can add a picture if you need one.
Answer:
5w+6
Step-by-step explanation:
3w+2(w-2)+10 distribute the 2
<u>3w</u>+<u>2w</u>-4+10 combine like terms the w's and
the numbers without the variables
5w+6
