Answer:
3>b
Step-by-step explanation:
a+b>-4
a>-9
so a is greater than -9
so which means -7,-8,-6 is greater -9.
-7+b>-4
-7+4>-b
-3>-b
3>b
verification
a+b>-4
Substitute -7 for a
substitute 3 for b
-7+3>-4
the answer will be -4 which is correct.
With what do you need help with
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
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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).
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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)
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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).
Use the slope formula
and plug in the values for x and y.
For this case we have the following conversion of units:
Thus, applying the conversion of units we have:
Then, the distance traveled for 5 seconds is given by:
Answer:
he has completed 52 meters of the 80-meter race
