The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Answer: c) $30,799.45
Step-by-step explanation:
Assuming there are 52 weeks in a year, the rate and time would be converted to;
Rate = 8%/52 = 8/52%
No. of periods = 9 years * 52 weeks = 468
The amount Mr Mantle would have is;
= 15,000 * ( 1 + 8/52%) ⁴⁶⁸
= $30,799.45276
= $30,799.45
4+3.5=7.5
7.5x =180
180/7.5
=24 (answer)
Time taken by Daniel to catch up with Frank is 4 minutes.
Step-by-step explanation:
The question is on relative speed; speed of a moving object with respect to another.
The two cars are travelling in the same direction at different speeds thus;
Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph
The time which the two meet = distance/ relative speed
Distance = 1/3 miles, which equals 0.33 miles
Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.
Learn More
Relative speed: brainly.com/question/10681729
Keywords: car, travelling, miles,started at the same point,catch up with
#LearnwithBrainly
The length of CD is 7-3=4.
Therefore, if we dilate by a scale factor of 3, the length is 4(3) = 12
