Answer:
<em>The value of b is</em><em> 8</em><em>.</em>
Step-by-step explanation:
The given function is,

The given data is,

i.e when the value of x is -2, then the value of the function is -14.
Putting all the values,




Therefore, the value of b is 8.
The options of the problem are

we have

we know that
<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms
p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.
So
in this problem
the constant term is equal to 
and the first monomial is equal to
-----> coefficient is 
therefore
<u>the answer is the option </u>
D. 
Answer:
f(x)= -2(x-8)²+6
Step-by-step explanation:
First graph the points
you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6
so the equation is
to get a we will replace by the coordinates of a point for example (6,-2)
- -2 = a(6-8)²+6
- -2 = a*4+6
- -2-6 = 4a
- -8 = 4a
- a = -2
a is negative wich makes sense since the parabola opens down
Answer:
the slope is 
Step-by-step explanation:
Notice that you are given two points to use for the slope calculation:

So we use the formula for the slope of a line given two points:

The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;
- y(x) = - 16x² + 36x + 4
- Height at x = 1.7 = 18.89 feets
<u>The table given</u> :
Time, x : __0.5 ___ 1 ____ 1.5 ____ 2
Height, y _ 18 ____22 ___ 24 ____ 12
<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;
The quadratic regression model obtained is :
<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :
Put x = 1.7 in the equation :
- y(1.7) = - 16(1.7)² + 36(1.7) + 4
- y = 18.89 feets
Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.
Learn more : brainly.com/question/22939512