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Diano4ka-milaya [45]
2 years ago
14

Is -4 greater then or less then -5​

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
6 0

Answer: -4 is greater than -5

To understand why, let’s look at a number line.

In the image provided, we can see that -4 is 4 units away from zero and -5 is 5 units away from zero. It may be confusing at first, but negative numbers that are closer to zero are going to be greater than numbers that are not as close to zero.

Number lines are a great tool especially when introducing integers because they help you visualize what’s going on.

Annette [7]2 years ago
5 0
-4 is greater than -5
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Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

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f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

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The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

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f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

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