Answer:
19 1-point shots and 32 2-point shots
Step-by-step explanation:
Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...
x+y=51
x+2y=83
We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.
-y=-32
Divide both sides by -1
y=32
Plug this back into the equation to solve for x
x+32=51
Subtract 32 from both sides
x=19
They scored 19 1-point shots and 32 2-point shots.
Add 1/(x-8) to both sides
cross multiply or multply both sides by (5-x)(x-8)
5(x-8)=5-x
distribute
5x-40=4-x
minus x from both sides
4x-40=4
add 40 to both sides
4x=44
divide by 4
x=11
You take 12 * 6 = 72, then divide by two. 72 / 2 = 36 in squared
A) The intersection occurs at the same height 'y', so the y of each equation must be equal:
y=y implies <span>2−x = 8x+4. The solution is -2=9x, x = -2/9=2/3, and y = 20/9
(-2/9,20/9)
</span>
B)
X | Y1 | Y2
_____________
-3 5 -20
-2 4 -12
-1 3 -4
0 2 4
1 1 12
2 0 20
3 -1 28
C) I would draw each line with the values on the table. Where both lines cross is the intersection point. It should be (-2/9, 20/9)
You would rather look at the bar graph, easier to tell difference
