To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:
Add 9 to both sides:
Square root both sides to get y by itself:
This equation can be simplified by taking the square root of 9 out of the root:
The inverse of this function is
y = 3 + √x.
Answer:
x = 17
Step-by-step explanation:
-2x+8-6=-32
lets isolate the x variable:
-2x=-32-8+6
-2x = -34
x= -34/-2
x= 34/2
x= 17
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
Answer:
infinite
Step-by-step explanation:
If you multiply all factors in the secon eqation by 4, you will get the first eqation.
Therefore for any value of x you can find y, thus having an infinite number of x,y pairs
Answer:
Step-by-step explanation:
Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.
Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:
Cross multiply to get that the actual width is 5(3) = 15 feet.
If you want the area of the room, multiply the length times the width to get
A = 15(12.5)
A = 187.5 feet squared
