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Mathematics

1 answer:

Leto [7]3 years ago

4 0

Answer: do the math

Step-by-step explanation:

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Select the point that is a solution to the system of inequalities. y≤2x-2 y≤ x²-3x

miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are $y\leq 2x-2$ and $y\leq x^{2} -3x$ .

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), $-1\leq 2(-2)-2 \implies -1\leq -6$ .

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), $3\leq 2(1)-2 \implies 3\leq 0$

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), $1\leq 2(2)-2 \implies 1\leq 2$ .

$1\leq 2^{2} -3(2) \implies 1\leq -2$

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), $2\leq 2(4)-2 \implies 2\leq 6$

$2\leq 4^{2} -3(4) \implies 2\leq 4$

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0

2 years ago

A park charges $12 for 1 round of mini golf and a reduced fee for each additional round played. If Tom paid $47 for 6 rounds of

faltersainse [42]

Set it up as an equation: 12 + 6x = 47
(x is the reduced fee)

12 + 6x = 47
12 - 12 + 6x = 47 - 12
6x = 35
x = 35/6
x = 5.83 repeating (only the 3 is repeating)

8 0

3 years ago

If x = 10, y = 5, and z = 11, what is the sine ratio for g°?

salantis [7]

Answer:

$\frac{10}{11}$