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pshichka
7 days ago
15

must a function that is decreasing over a given interval always be negative over that same interval explain

Mathematics
2 answers:
lawyer [4K]7 days ago
8 0

refer to the image provided below.


It’s evident that a function exhibiting a decrease, characterized by a negative slope, does not necessarily have to have negative values.

lawyer [4K]7 days ago
7 0

Response:

no

Detailed explanation:

For a function to decrease in a specific interval, its outputs diminish as the inputs increase; however, those outputs could either be negative or positive. Conversely, for a function to be termed negative across an interval, all outputs must be negative, although the inputs may be either positive or negative.

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"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre
Zina [3914]

1. Calculate 10% of 250 (250 × 0.10 = 25)
2. Subtract that from 250 (250 - 25 = 225)
3. Then find 16% of 225 (225 × 0.16 = 36)
4. Add 225 and 36 to get 261
5. Therefore, the target number of consumers retained is 261
6 0
18 days ago
Value of sec Square 26 degrees - cot square 64 degrees is
Leona [4166]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}

Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

\frac{1-cos^2(64\°)}{sin^2(64\°)}

From this, we find

1-cos^2(64\°)=sin^2(64\°)

By substitution,

\frac{sin^2(64\°)}{sin^2(64\°)}=1

4 0
15 days ago
The perimeter of the school crossing sign is 102 inches what is the length of each side
Leona [4166]
The total perimeter of the school crossing sign measures 102 inches.
To find the length of each side, knowing the number of sides is necessary.
If it has 5 sides, dividing 102 by 5 results in 20.4 inches per side.
If it has 4 sides, dividing 102 by 4 gives a side length of 25.5 inches.
So, the side length depends on how many sides the sign has.
6 0
14 days ago
A boy climbs to the top of a tree and sees his friend 100 feet from the base of the tree. If the tree is 25 feet tall, what is t
Inessa [3907]
Visualizing the scenario is advantageous; creating a diagram would show a right triangle where the base measures 100 ft and the height is 25 ft. We can easily determine the angle using trigonometric functions as follows:

tan(theta) = 25 / 100
theta = 14.04 degrees
7 0
11 days ago
"The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N obj
PIT_PIT [3919]

Options

  • Counting rule for permutations
  • Counting rule for multiple-step experiments
  • Counting rule for combinations
  • Counting rule for independent events

Answer:

(C) Counting rule for combinations

Step-by-step explanation:

To find the number of outcomes when selecting n objects from N objects, we apply either permutation or combination.

  • If the order of selection matters, we utilize permutation.
  • On the other hand, if the order of selection does not matter, we opt for combination.

Thus, the counting method employed for determining experimental outcomes when selecting n objects from N objects without regard to selection order is referred to as the counting rule for combinations.

7 0
12 days ago
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