4 years ago

Identify the vertex of the function, f(x) = 3(x - 1)2 + 5.

Mathematics

1 answer:

Softa [21]4 years ago

6 0

I believe it is (1,5)

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Math Problem Solving statistics and probability

luda_lava [24]

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x P(x) x × P(x) x² x² × P(x)

19 0.20 3.8 361 72.2

10 0.20 2 100 20

11 0.30 3.3 121 36.3

12 0.20 2.4 144 28.8

13 0.10 1.3 169 16.9

____________________________________________

12.8 174.2 => Total

Mean Formula

$\mu_x = \sum(x \times P(x))$ $= 12.8$

$\mu_x^2 = 163.84$

Variance Formula

$\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2$

$= 174.2- 163.84\\\\=10.36$

Standard Deviation Formula

$Standard\ deviation, \ \sigma_x = \sqrt{Variance}$

$=\sqrt{10.36}\\\\=3.218$

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You subtract the "-6" from the y, and you get +6 (which eliminates A and B). You subtract the "-2" from the x, and you get +2 (which eliminates C)

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A number w increased by 6 is at least 24. Using an inequality

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