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BigorU [14]
3 years ago
10

Select the point that is a solution to the system of inequalities.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Given that:


y < x² + 2

y > x² - 6


Using the graphing technology:


The vertex of first equation will be: (0,2)

As, y is less than the quadratic equation, the outer portion of the parabola will be shaded and the parabola's boundary will be dotted line.

Similarly,

the second equation will vertex, (0,-6), will be a dotted parabola and the inner part of the parabola will be shaded.


Solution to the set of equations will be the common shaded region as shown in the graph attached. There is no common point which intersects both the equations.

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75 watch balloons filled in 40 mins
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A side of the triangle has been extended to form an exterior angle of 128°, find the value of x
Tamiku [17]

Answer:

x=52

step by step:

x+128=180

x=180-128

x=52 .

5 0
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Which equation represents a proportional relationship?
Sedbober [7]

Answer:

D

Step-by-step explanation:

This line goes through the point (0,0): the origin.

Hope this helps!

8 0
3 years ago
3\sqrt{2} - 2\sqrt{18} + 6\sqrt{8}[/tex]
Stella [2.4K]

Answer:

\sf \bold 9\sqrt{2}

Step-by-step explanation:

<h3>Simplifying radicals</h3>

    Step1: Prime fatorize and reduce to simplest form

    Step2:  Combine like radicals

    \sf 3\sqrt{2} - 2\sqrt{18}+6\sqrt{8}= 3\sqrt{2}- 2\sqrt{3*3*2}+6\sqrt{2*2*2}

                                    \sf = 3\sqrt{2}-2*3\sqrt{2} +6*2\sqrt{2}\\\\=3\sqrt{2}-6\sqrt{2}+12\sqrt{2}\\\\=(3-6+12)\sqrt{2}\\\\ = 9\sqrt{2}

5 0
2 years ago
When Lisa started at her current job, her employer gave her 2 days of paid
Novay_Z [31]

a. The equation computed shows that the number of paid vacation days has she earned will be 17 days.

b. The time when she will reach the maximum number of paid vacation days allowed is 6 years.

<h3>How to compute the equation?</h3>

a. The equation computed shows that the number of paid vacation days has she earned will be:

= 2 + 3x

x = 5

= 2 + 3(5)

= 2 + 15

= 17 days.

b. The maximum number of days for a pod vacation will be:

= 4 × 5

= 20 days.

The time when she will reach the maximum number of paid vacation days allowed will be:

20 = 3x + 2

3x = 20 - 2.

3x = 18

x = 18/3

x = 6 years

Learn more about equations on:

brainly.com/question/28311379

#SPJ1

7 0
2 years ago
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