Mathematics: Given n(A) = 1300, n(A U B) = 2290, and n(A n B) = 360, find n(B).

Rate of change = - 4 Step-by-step explanation:Rate of change : ...

Given n(A) = 1300, n(A U B) = 2290, and n(A n B) - id1300229013908153, madone8365

quynhnguyen7454

07.08.2021

n(B) = 1350

Step-by-step explanation:

Using Venn sets, we have that:

$n(A \cup B) = n(A) + n(B) - n(A \cap B)$

Three values are given in the exercise.

The other is n(B), which we have to find. So

$n(A \cup B) = n(A) + n(B) - n(A \cap B)$

2290 = 1300 + n(B) - 360

940 + n(B) = 2290

n(B) = 2290 - 940 = 1350

n(B) = 1350

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joshlynn52

05.08.2020

Rate of change = - 4

Step-by-step explanation:

$h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\$

Rate of change :

$= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4$

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