Answer:
the inverse of the quadratic function
is 
Step-by-step explanation:
We need to find inverse of the quadratic function
Let

Replace x and y

Now, we will solve for y
Adding 3 on both sides


Taking square root on both sides

Now replace y with 

So, the inverse of the quadratic function
is 
Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile;
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile;
⇒ 
⇒ 
⇒ 5600 +
= 560
⇒ 5600 - 560 = - 
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
Answer:
The value of x is
.
Step-by-step explanation:
It is given that hypotenuse is
. So, the legs would be x and 8.
Let's use Pythagoras theorem,

Plug in the numbers to solve for x.

Simplify it

Subtract both sides 64.

Take square root on both sides
x=
We can not simplify the radical.
So, let's keep this as answer.
Answer:
You need to show a map and put the entire directions.
Step-by-step explanation:
Step-by-step explanation:
f(x) = 4x²
g(x) = x + 1
= (fog)(x)
= f( g(x) g
= 4x²
= 4(x + 1)²
Option → C