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Harrizon [31]
4 years ago
13

What is the simplest form of 54/54

Mathematics
2 answers:
krek1111 [17]4 years ago
4 0
1 is the simplest form since the line means division. 54 divided by 54 is 1.
Veronika [31]4 years ago
4 0
1 is simplest form because If a fraction has the numerator and denominator the same it equals 1
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In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each even
murzikaleks [220]

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

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State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
aleksandr82 [10.1K]

Answer:

Domain: [-1,\infty)

Range: (-\infty, 3]

Decreases over: (-1,-\infty)

Step-by-step explanation:

Given

f(x) = -\sqrt{x + 1} + 3 --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

x + 1 \ge 0

Solve for x

x + 1 -1\ge 0-1

x \ge -1

Hence, the domain is:

[-1,\infty)

To get the range, we plot the values of the domain in the expression.

x = -1

f(x) = -\sqrt{x + 1} + 3

f(-1) = -\sqrt{-1+1} +3

f(-1) = -\sqrt{0} +3

f(-1) = -0 +3

f(-1) = 3

x = \infty

f(\infty) = -\sqrt{\infty +1}+3

f(\infty) = -\sqrt{\infty}+3

f(\infty) = -\infty+3

f(\infty) = -\infty

So, the range is: (-\infty, 3]

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval (-1,-\infty)

6 0
3 years ago
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