Suriin ang malawak na saklaw ng mga paksa at makakuha ng mga sagot sa IDNStudy.com. Makakuha ng hakbang-hakbang na mga gabay para sa lahat ng iyong teknikal na tanong mula sa mga miyembro ng aming komunidad.
Sagot :
Evaluate (5x² + 3xy) over xy² using the given values of x and y below:
1.) x = -2; y = -2
[tex] \frac{5x^{2}+ 3xy}{xy^{2}} [/tex]
[tex] \frac{5(-2)^{2} + 3(-2)(-2)}{(-2)(-2)^{2}} [/tex]
[tex] \frac{5(4)+3(4)}{(-2)(4)} [/tex]
[tex] \frac{20+12}{-8} [/tex]
[tex] \frac{32}{-8} [/tex]
-4
2.) x = 1; y = -1
[tex] \frac{(5 x^{2} + 3xy)}{x y^{2} } [/tex]
[tex] \frac{5(1)^{2} +3(1)(-1)}{(1)(-1)^{2} } [/tex]
[tex]\frac{5(1) + 3(-1)}{(1)(1)} [/tex]
[tex]\frac{5 - 3}{1} [/tex]
[tex] \frac{2}{1} [/tex]
2
3.) x = -2; y = -1
[tex] \frac{(5x^{2} +3xy)}{xy^{2}} [/tex]
[tex] \frac{5(-2)^{2} +3(-2)(-1)}{(-2)(-1)^{2}}[/tex]
[tex] \frac{5(4)+3(2)}{(-2)(1)}[/tex]
[tex] \frac{20 + 6}{-2} \frac{26}{-2} -13[/tex]
4.) x = -1; y = -2
[tex] \frac{5x^{2} + 3xy}{xy^{2} } [/tex]
[tex] \frac{5(-1)^{2} + 3(-1)(-2)}{(-2)^{2}} [/tex]
[tex] \frac{5(1) + 3(2)}{(-1)(4)} [/tex]
[tex] \frac{5 + 6}{-4} [/tex]
[tex] \frac{11}{-4} [/tex]
-2.75
5.) x = 8; y = 7
[tex] \frac{5x^{2} + 3xy}{xy^{2} } [/tex]
[tex] \frac{5(8)^{2} + (3)(8)(7)}{8(7)^{2}} [/tex]
[tex] \frac{5(64) + 24(7)}{8(49)} [/tex]
[tex] \frac{320 + 168}{392} [/tex]
[tex] \frac{488}{392} [/tex]
[tex] 1\frac{96}{392} or 1 \frac{12}{49} [/tex]
1.) x = -2; y = -2
[tex] \frac{5x^{2}+ 3xy}{xy^{2}} [/tex]
[tex] \frac{5(-2)^{2} + 3(-2)(-2)}{(-2)(-2)^{2}} [/tex]
[tex] \frac{5(4)+3(4)}{(-2)(4)} [/tex]
[tex] \frac{20+12}{-8} [/tex]
[tex] \frac{32}{-8} [/tex]
-4
2.) x = 1; y = -1
[tex] \frac{(5 x^{2} + 3xy)}{x y^{2} } [/tex]
[tex] \frac{5(1)^{2} +3(1)(-1)}{(1)(-1)^{2} } [/tex]
[tex]\frac{5(1) + 3(-1)}{(1)(1)} [/tex]
[tex]\frac{5 - 3}{1} [/tex]
[tex] \frac{2}{1} [/tex]
2
3.) x = -2; y = -1
[tex] \frac{(5x^{2} +3xy)}{xy^{2}} [/tex]
[tex] \frac{5(-2)^{2} +3(-2)(-1)}{(-2)(-1)^{2}}[/tex]
[tex] \frac{5(4)+3(2)}{(-2)(1)}[/tex]
[tex] \frac{20 + 6}{-2} \frac{26}{-2} -13[/tex]
4.) x = -1; y = -2
[tex] \frac{5x^{2} + 3xy}{xy^{2} } [/tex]
[tex] \frac{5(-1)^{2} + 3(-1)(-2)}{(-2)^{2}} [/tex]
[tex] \frac{5(1) + 3(2)}{(-1)(4)} [/tex]
[tex] \frac{5 + 6}{-4} [/tex]
[tex] \frac{11}{-4} [/tex]
-2.75
5.) x = 8; y = 7
[tex] \frac{5x^{2} + 3xy}{xy^{2} } [/tex]
[tex] \frac{5(8)^{2} + (3)(8)(7)}{8(7)^{2}} [/tex]
[tex] \frac{5(64) + 24(7)}{8(49)} [/tex]
[tex] \frac{320 + 168}{392} [/tex]
[tex] \frac{488}{392} [/tex]
[tex] 1\frac{96}{392} or 1 \frac{12}{49} [/tex]
Evaluate means like find the value given a certain amount. Ex:
1.x=-2; y=-2
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Sustitute
[tex]\frac{5(-2)^2+3(-2)(-2)}{-2(-2)^2}[/tex]
[tex]\frac{20+12}{-8}[/tex]
Add like terms
[tex]\frac{32}{-8}[/tex]
Divide:
=-4
2.x=1; y=-1
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Substitute
[tex]\frac{5(1)^2+3(1)(-1)}{1(-1)^2}[/tex]
[tex]\frac{5-3}{1}[/tex]
Add like terms
=2
3.x=-2; y=-1
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Substitute
[tex]\frac{5(-2)^2+3(-2)(-1)}{-2(-1)^2}[/tex]
[tex]\frac{20+6}{-2}[/tex]
Add like terms
[tex]\frac{26}{-2}[/tex]
Divide
=-13
4.x=-1; y=-2
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
[tex]\frac{5(-1)^2+3(-1)(-2)}{-1(-2)^2}[/tex]
[tex]\frac{5+6}{-4}[/tex]
Add like terms
[tex]\frac{11}{-4}[/tex]
Divide
=-11/4 or -2.75
5.x=8; y=7
Substitute:
[tex]\frac{5(8)^2+3(8)(7)}{7(8)^2}[/tex]
[tex]\frac{320+168}{448}[/tex]
Add like terms
[tex]\frac{488}{488}{/tex]
Divide
=1
Hope this helps =)
1.x=-2; y=-2
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Sustitute
[tex]\frac{5(-2)^2+3(-2)(-2)}{-2(-2)^2}[/tex]
[tex]\frac{20+12}{-8}[/tex]
Add like terms
[tex]\frac{32}{-8}[/tex]
Divide:
=-4
2.x=1; y=-1
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Substitute
[tex]\frac{5(1)^2+3(1)(-1)}{1(-1)^2}[/tex]
[tex]\frac{5-3}{1}[/tex]
Add like terms
=2
3.x=-2; y=-1
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
Substitute
[tex]\frac{5(-2)^2+3(-2)(-1)}{-2(-1)^2}[/tex]
[tex]\frac{20+6}{-2}[/tex]
Add like terms
[tex]\frac{26}{-2}[/tex]
Divide
=-13
4.x=-1; y=-2
[tex]\frac{5x^2+3xy}{xy^2}[/tex]
[tex]\frac{5(-1)^2+3(-1)(-2)}{-1(-2)^2}[/tex]
[tex]\frac{5+6}{-4}[/tex]
Add like terms
[tex]\frac{11}{-4}[/tex]
Divide
=-11/4 or -2.75
5.x=8; y=7
Substitute:
[tex]\frac{5(8)^2+3(8)(7)}{7(8)^2}[/tex]
[tex]\frac{320+168}{448}[/tex]
Add like terms
[tex]\frac{488}{488}{/tex]
Divide
=1
Hope this helps =)
Salamat sa iyong presensya. Patuloy na magbahagi ng impormasyon at karanasan. Ang iyong kaalaman ay mahalaga sa ating komunidad. Ang IDNStudy.com ang iyong mapagkakatiwalaang mapagkukunan ng mga sagot. Salamat at bumalik ka ulit.