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mars1129 [50]
3 years ago
9

Graph the system below and write its solution.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

See the graph attached. It has one solution: (6,-4)

Step-by-step explanation:

The slope-intercept form of a line is:

y=mx+b

Where m is the slope and b is the intersection of the line with the y-axis.

Given the first equation  y =\frac{-1}{2}x -1

You can identify that:

b=-1

Substitute y=0 to find the intersection with the x-axis

0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2

This line passes through the points (0,-1) and (-2,0)

Given the second equation:

-2 + y = -6

Solve for y:

y = -6+2\\y=-4

It passes through the point (0,-4).

Now, you can graph. See the figure attached.

It has one solution,which is the point of intersection of both lines:  (6,-4)

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The probability that a person is accepted for admission to a specific university is 0.6. Determine the probability that exactly
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Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23

Step-by-step explanation:

We would number of people that applies for admission at the university and gets accepted. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

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q = 1 - p = 1 - 0.6

q = 0.4

n = 5

the probability that exactly two of the next five people who apply to that university get accepted is

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P(x = 2) = 0.23

8 0
3 years ago
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Answer

1

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