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Mila [183]
3 years ago
14

Select all intervals in which the function P(t) is decreasing

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

we conclude that the intervals in which the function P(t) is decreasing are:

  • x < 1
  • 3 < x < 4

Step-by-step explanation:

At x< 1, the function P(t) is decreasing

  • A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x
  • A function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

  • x < 1
  • 3 < x < 4
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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

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|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

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Since the width couldn't be negative, we can change -25 with 0,

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</span> 0 < x ≤ 7 
7 0
3 years ago
(GEOMETRY 100 POINTS)
Karo-lina-s [1.5K]

Answer:

1) They are similar

2) 45 ft

Step-by-step explanation:

1) similar because both triangles have congruent interior angles

2) 75/35 = AB/21

AB = 45 ft

5 0
2 years ago
Read 2 more answers
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