1. we have to find what number lie at A and B , and that too between and 1 and 2 , so these two numbers must be decimal numbers!! So let's find the number of scales between 1 and 2 , we get 8 scales !! So the question is how much place 1 scale will occupy ?? we have to find certain numbers between 1 and 2 , suppose between 1 and 2 we have 1 unit and those 1 unit occupies 8 scales !! so much place 1 scale occupies ?? to get it divide 1 by 8 and we get 0.125 !! so between 1 and 2 ,each blank space or scale occupies 0.125 unit!! now what numbers lie at A ? count the number of scale between 1 and A , we get 3 scales ! now multiply 3 by 0.125 , we get 0.375 , add 1 to 0.375 , we get 1.375 !! hence 1.375 lies at A ! now we have to find which number lies at B ? count the number of blanks or scale , we get 4 ! multiply 4 by 0.125 and we get 0.5 ! add this 0.5 to 1 , we get 1.5 ! therefore the number 1.5 lies at B !!
2. for 2nd number solution refer to the attachment! !
Answer:
so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)
(7-(-2))/(0-8)
simplify
9/-8
simplify -9/8
now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.
y=mx+b
-2=(-9/8)(8)+b
multiply (-9/8) by 8 to get -9
-2=-9+b
add 9 to both sides
7=b
so our equation is now
y=-(9/8)x+7
Step-by-step explanation:
Answer:
Graph C
Step-by-step explanation:
It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.
Hope this helps! :D
- Luna
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
