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Oksanka
3 months ago
9

How many solutions does the nonlinear system of equations graphed below have?

Mathematics
2 answers:
Leona [12.6K]3 months ago
8 0

Answer:

one

Step-by-step explanation:

At the point where the two functions meet.

Zina [12.3K]3 months ago
4 0

Answer:

one

Step-by-step explanation:

The graph given shows curves, and we need to determine how many solutions this system of equations has.

Using the graphical approach to solve systems of equations, the point(s) where the curves intersect represent the solutions of the system.

According to the provided image, the two graphs meet at a single point, indicating that there is one solution for this system of equations.

Thus, option d is correct.

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The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
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Answer:

a. \frac{1}{15}

b. \frac{2}{5}

c. \frac{14}{15}

d. \frac{8}{15}

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

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Solution:

Using the probability formula for event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

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Total possible outcomes = 15

The needed probability is \frac{1}{15}.

b. The successful outcomes for both being desktop computers = _4C_2=6

Total possible outcomes = 15

The required probability is \frac{6}{15} = \frac{2}{5}.

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

2. Both are desktops:

Successful outcomes = _4C_2=6

Total successful outcomes = 8 + 6 = 14

The needed probability is \frac{14}{15}.

d. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

Total outcomes = 15

The required probability is \frac{8}{15}.

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I'm not sure.
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