Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4. you have 2 attempts left to earn the full credit for this problem. the area of the region is square units.

Area of the bounded region = 4 sq units

Step-by-step explanation:

The region bounded by y-axis,x-axis and the given line is in the shape of a  right-angled triangle which is right-angled at origin.

Hence :

Area of the bounded region = Area of the right-triangle formed

                                                 =

Base length of the Δ =  x-intercept of the line

Height of the Δ = y-intercept of the line.

x-intercept is obtained by putting y=0 in the equation y=-2x+4

∴x-intercept = 2

y-intercept is obtained by putting x=0 in the equation y=-2x+4

∴y-intercept = 4

Area of the right-triangle =

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: