Y = - x - 6
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We know that
The Standard Form of a Quadratic Equation<span> looks like this
</span> ax²<span> + bx + c = 0
</span>
we have
<span>x -1 0 1 2 3
y -20 -6 2 4 0
for x=0 y=-6
then
</span> y=ax² + bx + c --------> -6=a*0² + b*0 + c ---------> c=-6
for y=0 x=3
then
y=ax² + bx + c-------> 0=a*3² + b*3 -6---------> 9a+3b=6----> equation 1
for x=2 y=4
then
y=ax² + bx +
c-----> 4=a*2² + b*2 -6-----> 4=4a+2b-6-----> 4a+2b=10---->
a=2.5-0.5b----> equation 2
I substitute 2 in 1
9*[2.5-0.5b]+3b=6------>
22.5-4.5b+3b=6------> 1.5b=16.5------> b=11
a=2.5-0.5*11------>
a=2.5-5.5------> a=-3
The Standard
Form of a Quadratic Equation is
ax² + bx + c
= 0--------> -3x²+11x-6=0
the answer is
-3x²+11x-6=0
See the attached figure
Answer: 5.6 miles per hour
Step-by-step explanation:
In general, the exponential growth function is given by the formula below

Where a and r are constants, and x is the number of time intervals.
In our case, n=0 for 1960; therefore, 1968 is n=8,

And 1976 is n=16

Solve the two equations simultaneously, as shown below

Solving for a,

a) Thus, the equation is

b) 1960 is n=0; thus,

The answer to part b) is $1.113043... per hour
c)1996 is n=36

The model prediction is above $5.15 by $0.55 approximately. The answer is 'below'