That is an exponential function. It grows all over the range, from - ∞ to + ∞.
The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.
The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.
The function grows as x goes to infinity.
You can finds some other values of the function to help to sketch the graph.
x f(x) = 6 ^ (x - 4)
-100 6^ ( -104) = 1.18 * 10^ (-81)
- 10 6^ (-14) = 1.28 - 10^ -11
3 6^ (-1) = 1/6 = 0.17
4 6^0 = 1
14 6^ (10) = 60,466,176
Answer:
The minimum number of Vinyl peel and stick floor tiles needed is 216 Tiles
Step-by-step explanation:
Here we have area size of Vinyl peel and stick floor tiles = 1 ft²
Size of floor of rectangular room = 12 ft × 14 ft = 168 ft²
Size of floor on rectangular hallway = 12 ft × 4 ft = 48 ft²
Total area of floor in rectangular room and rectangular hallway
= 168 ft² + 48 ft² = 216 ft²
Therefore number of Vinyl peel and stick floor tiles needed =
(Total area of floor in rectangular room and rectangular hallway)÷( Area size of Vinyl peel and stick floor tiles) = 216 ft²/(1 ft²) = 216
Therefore the minimum number of Vinyl peel and stick floor tiles needed = 216 Tiles.
Answer:
x = 6
Step-by-step explanation:
This shows that the angle being split is 90 degrees.
<em>We know that 32 degrees are already known so we can do </em><em>90 - 32 = 58</em>
Now we know that 58 is the angle of 9x + 4
9x + 4 = 58
Subtract 4 from both sides
9x = 54
Divide both sides by 9 to isolate x
x = 6
Answer:
Physical and chemical changes can occur in matter. The look of material changes as a result of a physical change. Physical changes are sometimes known as phase changes. When materials change phase, they transition from solid to liquid, liquid to gas, or some other combination. If you mix materials together and see fire, bubbles, or a change in color, you might be able to see a chemical shift.
Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.
Given:
Perimeter of the floor of a room = 18 metre
Height of the room = 3 metre
To find:
The area of 4 walls of the room.
Solution:
We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.
The curved surface area of the cuboid is

Where, h is height, l is length and b is breadth.
Perimeter of the rectangular base is 2(l+b). So,

Putting the given values, we get


Therefore, the area of 4 walls of the room is 54 sq. metres.