Solve each system by elimination4x+8y=20-4x+2y=-30

x = 7 and y = −1.

Step-by-step explanation:

4x+8y=20

−4x+2y=−30

Add these equations to eliminate x:

10y=−10

Then solve10y=−10for y:

10y=−10

10y

10

=

−10

10

(Divide both sides by 10)

y=−1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

4x+8y=20

Substitute−1foryin4x+8y=20:

4x+(8)(−1)=20

4x−8=20(Simplify both sides of the equation)

4x−8+8=20+8(Add 8 to both sides)

4x=28

4x

4

=

28

4

(Divide both sides by 4)

x=7

Hope this helps!

=)

f(x)=(x+1)^2-2 is the minimum and g(x)=-(x-2)^2+1 is the maximum

Step-by-step explanation:

Looking at the graph, (you should be able to graph this) the parabola for f(x)=(x+1)^2-2 is pointing downwards and stops at the vertex. This vertex is negative which is the lowest point possible which makes it the minimum. The parabola for -(x-2)^2+1 is pointing upwards and stops at the vertex which is the highest point possible which makes it the maximum.