Answer:
9:40 am
Step-by-step explanation:
Let time taken from when Smith left compound to when Garcia overtakes Smith's car be represented by y
After y hours, Smith has covered 48*y=48y miles
Similarly, due to a difference of 20 minutes which is 20/60=1/3 hours, Garcia moves a distance of
60(y-1/3)
Equating both distances to be the same
60y-20=48y
12y=20
y=20/12=5/3 hours
Converted to minutes
5/3*60=100 minutes= 1 hr 40 mins
Therefore, adding 100 minutes to to starting time of Smith
8:00+1:40=9:40 am
The time that Garcia overtakes Smith is 9:40am
Answer:
Given the statement: if y =3x+6.
Find the minimum value of 
Let f(x) = 
Substitute the value of y ;

Distribute the terms;

The derivative value of f(x) with respect to x.

Using 
we have;

Set 
then;


By zero product property;
and 2x + 3 = 0
⇒ x=0 and x = 
then;
at x = 0
f(0) = 0
and
x = -1.5

Hence the minimum value of
is, -5.0625
Answer:
The domain of function
is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:


the domain of both the above functions is all real number.
To find domain of :

Substituting functions
and
to find 

The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ 
The degree of the function
is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of
is (-∞,∞)
.38 is greater because 3/10 is .30 and .38 is greater