Solving for X:
1) y=-8x+6.5 y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5 (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5 (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125
Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5
y=-4(-1.125)+11
y=4.5+11
y=15.5
x=-1.125
y=15.5
or
(-1.125,15.5)
Amanda used 15%
Rose used 0.17
Multiply the decimal by 100 to get the percentage:
0.17 x 100 = 17%
Hannah used 16/25
Divide 16 by 25 to get a decimal then multiply by 100 to get the percentage:
16/25 = 0.64 x 100 = 64%
64% is greater than 15% and 17% so Hannah used the most.
Step-by-step explanation:
First, since this is already in factored form, we can find the zeroes of this quadratic, which are -3 and -1/2. (To check, you can try plugging in these 2 values for x, and they indeed equal to zero.)
Now, we want to find the vertex. The x value would be exactly halfway between -3 and -1/2, which is -1.75. Now, we just need to evaluate it, so we can find the y value of the vertex:
(-1.75+3)(2*(-1.75)+1)
=(1.25)(-2.5)
=(-3.125)
Therefore, the vertex is at (-1.75, -3.125).
3 points define a parabola, so we can directly graph it now(graph attached to the answer).
I hope this helped.
Answer:
1) 88:100=44:50=22:25 (simplest answer)
2) 12:88=3:22 (simplest answer)