Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
3(a+3)-6=21
<=>3a+9-6=21
<=>3a+3=21
<=>3a=18
<=>a=6
Answer:
Step-by-step explanation:
The parent function here is y = x^2, whose graph is that of a parabola that opens up and has its vertex at the origin, (0, 0).
Translating this parent graph 3 units to the right and then up by 2 units will produce the desired graph of y = f(x) = (x - 3)^2 + 2.
There are no stretches or symmetry.
y-intercept: let x = 0 and find y: 9 + 2 = 11. y-intercept is (0, 11).
x-intercept: let y = 0 and find x: (x - 3)^2 + 2 = 0 => (x - 3)^2 = -2. This has no real roots. Thus, there are no x-intercepts.
There are 3³ possibilities for playing 3 rounds in rock paper scissors (3 choices in every round).
Draw a tree diagram of every round and (assuming that the three choices can be played in an random order as long as they are different), the options are 6.
P(RPS)=6/27=0.22
Hope I helped :)
Explanation:
Consider the following general periodic function:
where
a= amplitude
b = frecuency
h= phase translation
k= vertical translation
2π/ |b| = period
Now, consider the following periodic function:
Applying the definition given at the beginning of this explanation, we can see that:
a = amplitude = 3
2π/ |b| = period = 2π/|1| = 2π
Then, the graph of the given function is:
Notice that the greatest and least values of y are 3 and -3 respectively.
We can conclude that the correct answer is:
Answer:
Graph:
Period:
Amplitude:
The greatest value of y (coordinate y of the maximum point):
The least value of y (coordinate y of the minimum point):
