Answer: D
Step-by-step explanation:
If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.
x = 9y^2-12.
Then you solve for y.
x = 9y^2-12.
x+12=9y^2
y^2=(x+12)/9
y=sqrt((x+12)/9)
y=sqrt((x+12))/3 which is D
Answer:
11th floor
Step-by-step explanation:
So to figure out what floor Rosa's office is in, we need to declare some variables.
x = Rosa's office
down 5 floors = -5
up 8 floors = 8
down 13 floors = - 13
One major clue to find Rosa's office is that she went down 13 floors to get to the 1st floor. So let's declare that Rosa is on the first floor.
x - 5 + 8 - 13 = 1
x - 10 = 1
x = 1 + 10
x = 11
So Rosa's office is at the 11th floor of the building.
Answer:
f(x)=x/2 +8
if x =10
10/2 +8
5+8=13
Step-by-step explanation:
option c
Answer:
The value of a is 10.
Step-by-step explanation:
We are given with the following pair of the linear system of equations below;
and 
.
Also, the solution is given as (a, -1).
To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.
So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).
First, taking the equation;
Put the value of x = a and y = -1;
(-1) = -(a) + 9
a = 9 + 1 = 10
Now, taking the second equation;
Put the value of x = a and y = -1;
0.5a = 6 - 1
0.5a = 5
a = 10
Since we get the value of a = 10 from the equations, so the value of a is 10.
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation:
