Answer:
x
=
5 and (
5
,
−
9
)
Explanation:
The equation of a parabola in vertex form is.
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
Where (
h
,
k
) are the coordinates of the vertex and a is a multiplier
f
(
x
)
=
(
x
−
5
)
2
−
9 is in this form
with (
h
,
k
)
=
(
5
,
−
9
)
⇒
vertex =
(
5
,
−
9
)
the axis of symmetry passes through the vertex is vertical with equation
x
=
5
← axis of symmetry graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}
The rate if he went three years without an accident based on the information about the insurance is $552.15.
<h3>How to calculate the insurance?</h3>
From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.
The amount will be:
= 613.50 - (20.45 × 3)
= 552.15
In conclusion, the rate is $552.15.
Learn more about insurance on:
brainly.com/question/25855858
#SPJ1
Step-by-step answer:
Answer to problems of this kind is the reciprocal of the harmonic mean of the time required.
We need to find the average of the speeds, not the average of the time.
The respective speeds are 1/3 and 1/4.
The average of the speeds is therefore (1/3+1/4)/2 = 7/24 (harmonic mean of the time taken).
The time required is therefore the reciprocal of the unit speed,
T = 1/(7/24) = 24/7 = 3 3/7 minutes, or approximately 3.43 minutes.
Answer:
The upper reason is your answer.....