Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Question 1 of 10
Select the point that is a solution to the system of inequalities.
y y>x^2-4

Question 1 Of 10 Select The Point That Is A Solution To The System Of Inequalities Y Ygtx24 class=

Sagot :

Esther

Answer:

a) (1,2)

Step-by-step explanation:

[tex]y < x^2 + 3\\y > x^2 - 4[/tex]

a.

[tex]2 < 1^2 + 3\\2 > 1^2 - 4[/tex]

[tex]2 < 1 + 3\\2 > 1 - 4[/tex]

[tex]2 < 4\\2 > -3[/tex]

Both equations are true

b.

[tex]0 < 4^2 + 3\\0 > 4^2 - 4[/tex]

[tex]0 < 16 + 3\\0 > 16 - 4[/tex]

[tex]0 < 19\\0 > 12[/tex]

Both equations are false

c.

[tex]-4 < -2^2 + 3\\-4 > -2^2 - 4[/tex]

[tex]-4 < 4 + 3\\-4 > 4 - 4[/tex]

[tex]-4 < 7\\-4 > 0[/tex]

Only one equation is true (-4 < 7)

d.

[tex]4 < 0^2 + 3\\4 > 0^2 - 4[/tex]

[tex]4 < 0 + 3\\4 > 0 - 4[/tex]

[tex]4 < 3\\4 > - 4[/tex]

Only one equation is true (4 > -4)

Therefore, our final answer is a) (1,2)

Hope this helps!

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.