He first two are relatively easy. f(x-2) shifts it sideways (2 to the right in this case) f(x) -2 shifts it straight down (by 2)
f(2x) means replace x with 2x in the original 4(2x + 1)^2 − 3 if you factor out the 2 from the square root you get 4*sqr(2) ( x + ½)^2 - 3 which is now in the form a ( x -h)^2 + k the vertex is now at (-½, -3) (it used to be at (-1,-3) the "a" has gotten bigger, which makes the parabola "skinnier" (it goes up faster)
2•f(x) becomes 2*( 4(x + 1)2 − 3 ) = 8 (x+1)^2 -6 where is the vertex now? is this parabola fatter or skinnier than the original f(x) ?
The answer is 63/5ft long of the actual car. Hope this helps :)
Answer: 4
Step-by-step explanation:
2(12) + 6n ≥ 50
24 + 6n ≥ 50
6n ≥ 26
n ≈ 4
The maximum number of tubes of paint that Kevin can buy is 4.
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
The answer is m and n / c
