Answer:
x = - 4, x = 6
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
- 3(x + 4)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 6 = 0 ⇒ x = 6
V=ca times height
1040=40 times h
H=1040 divide by 40
Height=26
Answer: ![f(x) =3^{-x}-4](https://tex.z-dn.net/?f=f%28x%29%20%3D3%5E%7B-x%7D-4)
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated up "k" units.
If
, the function is translated down "k" units.
If
, the function is reflected across the x-axis.
If
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:
![f(x) = 3^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%5Ex)
If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:
![f(x) =3^{-x}-4](https://tex.z-dn.net/?f=f%28x%29%20%3D3%5E%7B-x%7D-4)
Answer:
72
Step-by-step explanation:
Let the number of candies = n
Tracy ate = 1/3 of n = n/3 remaining 2n / 3
she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12
the new remainder = (2n / 3) - (2n / 12) = n /2
she and her mom then ate altogether = 30
and the brother took from 1 to five, the number he took = x
and she has 3 left
( n/2) - 30 - x = 3
n = 2 ( 33 + x)
now we know that the candies could not be broken and x is between 1 to 5
n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72
n therefore = 72
Answer:
C
Step-by-step explanation:
The pre-image of a reduction is always bigger. Reduction means to "get smaller," so the pre-image needs to be bigger than the ending image.