you can get the vertex of an absolute value expression by y = | x - h | + k, where the vertex is at (h, k).
now, as a matter of transformations, the negative in front of the absolute value expresssion, means the graph of it upside-down.
the graph of | x - h | + k, is like the letter V, comes down, it makes an apex and goes right back up, the apex is of course at the vertex (h,k).
so -|x - 4| + 5, has a vertex at (4,5), and is upside-down, like Ʌ, which means, it comes from the botttom, goes up up up, hits (4,5) and then goes right back down.
so its range is from y = 5, and back down, namely to -∞, so (-∞ , 5].
Answer:
Step-by-step explanation:
let -2/3 be the rational number and 9 be the positive real number
according to the given of indices this tis can be written as
![9^{-2/3}](https://tex.z-dn.net/?f=9%5E%7B-2%2F3%7D)
![(3)^{2*-2/3}](https://tex.z-dn.net/?f=%283%29%5E%7B2%2A-2%2F3%7D)
![3^{-4/3}](https://tex.z-dn.net/?f=3%5E%7B-4%2F3%7D)
1/3^4/3
Answer: X=1/72
Step-by-step explanation:
3/8x-17=10
We move all terms to the left:
3/8x-17-(10)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
We add all the numbers together, and all the variables
3/8x-27=0
We multiply all the terms by the denominator
-27*8x+3=0
Wy multiply elements
-216x+3=0
We move all terms containing x to the left, all other terms to the right
-216x=-3
x=-3/-216
x=1/72
Answer:
Sasha has to put 4 on the number line and 8 on ther number line count how many line there is between.
Step-by-step explanation: