Answer:
The function f(x) has a hole at point x = - 5.
Step-by-step explanation:
We are given a function as
Now, we have to describe where the function has a hole.
Now,
⇒
Therefore, the common factor of the numerator and denominator is (x + 5).
Now, (x + 5) = 0
⇒ x = - 5
Therefore, the function f(x) has a hole at point x = - 5. (Answer)
Answer:
800
Step-by-step explanation:
960 = 2 x 480, so the bacteria will double twice
200 x 2 x 2 = 800
Answer:
18
Step-by-step explanation:
1.5 x 0.25= 6 (for 1 side)
6 x 3= 18 packages.
Answer:
The fraction is 1/4
Step-by-step explanation:
we know that
The area of an equilateral triangle, using the law of sines is equal to



where
x is the length side of the triangle
In this problem
Let
b ----> the length side of the regular hexagon
2b ---> the length side of the equilateral triangle
step 1
Find the area of the six triangles
Multiply the area of one triangle by 6
![A=6[x^{2}\frac{\sqrt{3}}{4}]](https://tex.z-dn.net/?f=A%3D6%5Bx%5E%7B2%7D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%5D)

we have

substitute

step 2
Find the area of the regular hexagon
Remember that, a regular hexagon can be divided into 6 equilateral triangles
so
The area of the regular hexagon is the same that the area of 6 equilateral triangles

we have

substitute

step 3
To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

Answer:
A=5 hope this works
Step-by-step explanation: