The period is 2.
Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2
The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
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➷ To find the mean you add together the values and divide by how many values there are:
150 + 100 + 120 + 200 + 180 + 300 + 250 = 1300
1300/7 = 185.714285
Median:
Order the values and find the middle one:
100, 120, 150, 180, 200, 250, 300
As you can see, it is 180
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Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
Answer:
$834.40
Step-by-step explanation:
Find how many kg Lulu has total by adding 43.50 and 43.50+25 together.
You get 112 kg, and then multiply that by the price per kg, so 112 * 7.45 is 834.40.
