Answer:
left 1 unit, up 5 units
Step-by-step explanation:
To answer the question:
<em>Which translation maps the graph of the function f(x) = x² onto the function g(x) = x² + 2x + 6?</em>
we need to find the vertex of g(x), as follows:
- x-coordinate of the vertex (h): -b/(2a) = -2/(2*1) = -1
- y-coordinate of the vertex (k): y = (-1)² + 2(-1) + 6 = 5
Therefore, g(x) can be rewritten as:
g(x) = a(x - h)² + k
g(x) = (x + 1)² + 5
which is the equation of f(x) = x² translated 1 unit to the left and 5 units up.
Answer:
x=-39
Step-by-step explanation:
subtract 23 from both sides
-16 - 23= -39
therefore x=-39
Answer:
I am
Step-by-step explanation:
1500
Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.