Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
Answer:
590,551.2
1km ⇦.0003048ft
1hr⇦60min
3÷0.0003048×60=590,551.18110236
590551.2
if x is changed by 2 , the y changes by +3, Option B is the correct answer.
<h3>What is the equation of a Linear Function ?</h3>
The equation of a Linear Function is given by
y = mx +c
here m is the slope , c is the intercept on the y axis
The data is given in the table
To determine the relation , a function needs to be established between the variables.
m = ( y2 -y1 )/(x2-x1)
m = (-7 +10) /(-2+4)
m = 3 / 2
y = (3/2)x + c
at x = 0 , y= -4
-4 = 0 + c
c = -4
The function is
y = (3/2) x - 4
if x is changed by 2 , the y changes by +3
Therefore Option B is the correct answer.
To know more about Linear Function
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Answer:
614.2857143
Step-by-step explanation: