Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
Formula : Amount of change / Original amount
1. 144 - 90/ 144
2. Subtract 144 and 90
3. 54/ 144
4. Divide 54 by 144
5 0.375
6 Move the decimal two places to the right.
7. 37.5 %
Answer: 37.5% is the markup rate
Explanation: 54 yards is about 162 feet, and since we are converting measurements we need this ( duh ) and 135 seconds is approximately 2.25 minutes, so what we need to do is is divide the numbers like any conversion problem: 162 divided by 2.25 is 72.
Hope this answer helps!
Mean = 133.9
then calculate the z value
with z value you will find out the p value on a table.
if the p value is below .05 reject the null hypotheses
Answer:
No
Step-by-step explanation:
8 marbles cost $2.32. He needs 32 more cents.
