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SOVA2 [1]
2 years ago
12

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

Mathematics
1 answer:
miss Akunina [59]2 years ago
7 0

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

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Please I need help, if you could show work too that would be amazing
Ainat [17]

Answer:

x = 3

Step-by-step explanation:

Hi there,

We know that the value of ∠ABD and ∠DBC are the same because BD bisects it. Therefore, we can set both of the angle values equal to each other to find the value of x.

9x = (8x + 3)

x = 3

Hope this answer helps. Feel free to ask questions. Cheers.

7 0
2 years ago
Which of these sugar syrup will be the sweetest ? The sugar syrup with,Required to answer. Single choice.Immersive Reader (1 Poi
aleksley [76]

Answer:  c. 150g of sugar dissolved in 300ml water

Step-by-step explanation:

The concentration of sugar syrup will decide which syrup is sweetest. Concentration is defined as the amount of solute dissolved per unit volume of solution.

a) 50g of sugar dissolved in 150ml water

Concentration=\frac{50g}{150ml}=0.33g/ml

b) 100g of sugar dissolved in 500ml water

Concentration=\frac{100g}{500ml}=0.2g/ml

c)  150g of sugar dissolved in 300ml water

Concentration=\frac{150g}{300ml}=0.5g/ml

d) 250g of sugar dissolved in 1000ml water

Concentration=\frac{250g}{1000ml}=0.25g/ml

Thus 150 g of sugar dissolved in 300ml water has highest concentration and is sweetest.

6 0
2 years ago
Write 3x 1/2 in radical form
stiv31 [10]

Answer:

3x^1/2 in radical form is

\sqrt{3x}

Hope this helps you

8 0
3 years ago
shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her se
ki77a [65]

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

5 0
3 years ago
Express the product of 2xsquared+6x-8 and x+3 in standard form
postnew [5]

Answer:

2x^3+12x^2+10x-24

Step-by-step explanation:

(2x^2+6x-8)(x+3)

2x^3+6x^2-8x+6x^2+18x-24

2x^3+6x^2+6x^2-8x+18x-24

2x^3+12x^2+10x-24

4 0
3 years ago
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