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Hatshy [7]
2 years ago
7

Solving systems of linear inequalities

Mathematics
1 answer:
PIT_PIT [208]2 years ago
4 0

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

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At the end of a recent WNBA regular season, the Phoenix murmur had 12 more victories than losses. The number of victories they h
Hoochie [10]

Answer:

34 games


Step-by-step explanation:

let the number of losses be  l

let the number of victories be  v


<u>the Phoenix murmur had 12 more victories than losses:</u>

v=l+12

<u>The number of victories they had was one more than two times the number of losses:</u>

v=2l+1


<em>We have 2 expressions for v, equating these 2, we can solve for l:</em>

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So 11 games, they lost.

Using this value, we can plug into the 1st equation to solve for v:

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6 0
3 years ago
Write an exponential function to model the situation.A population of 300 animals decreased at an annual rate of 22%
erastovalidia [21]

Answer:

y = 300(0.78)^x

Step-by-step explanation:

x is the number of years. y is the population after x years.

Each year, the population decreases by 22%, since 100% - 22% = 78%, and 78% = 0.78, each year, the population is 0.78 of the previous year's population.

year zero: y = 300

year 1: y = 300 * 0.78 = 300 * (0.78)^1

year 2: y = (300 * 0.78) * 0.78 = 300 * (0.78)^2

year 3: y = ((300 * 0.78) * 0.78) * 0.78 = 300 * (0.78)^3

year x: y = 300(0.78)^x

4 0
2 years ago
Use &lt; , &gt; , or = to solve it
MA_775_DIABLO [31]

Answer:

5.23 < 5.235

Step-by-step explanation:

5.23 < 5.235

we know:

5.235 ≈ 5.24

hence 5.235 is greater than 5.23

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