Option B contain the expression where you can see perfect square. Thus, equation $\bf{y=-(x-2)^2+5}$ (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

$y=-(2-2)^2+5=5.$

The extreme value of this equation has a minimum at the point (2,5).

7 0

2 years ago

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bob and mark talk about their families. bob says he has 3 kids, the product of their ages is 72. Mark points out that there is s

Sonbull [250]

Given:
3 kids
72 is the product of their ages.
There is a youngest child.

This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

Prime factors are: 2 x 2 x 2 x 3 x 3 OR 2³ x 3²

3 ages.

eldest = 3³ = 9
middle = 2² = 4
youngest = 2¹ = 2

2 x 4 = 8
8 x 9 = 72

8 0

2 years ago