56 + 64
GCF is 8
(8 * 7) + (8 * 8) = 8(7+8) <==
Nothing further can be done with this topic. Please check the expression entered or try another topic.
log
5
x
(
2
x
−
4)=3x+2
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
__
The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
__
You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
__
2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
_____
<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
If orange:pineapple:Apple juice ratio is
2:7:5, pineapple juice would make up 7/14 of the whole juice mixture, which equals to 1/2. 1/2 of 3 litres = 1.5 litres
1.5/3 = 1/2
The answer would be B (1/2)
