A) draw the graph of the relation y = x² - 2x -1 using scale of 2cm to 1unit on both axis
b) use the graph to find the roots of the equation x² - 2x -1 = 0
c)using the same axis, draw the graph of y=2x - 3
d) use your graph to solve simultaneously
y=x² - 2x - 1
y=2x - 3

See explanation and attachment

Step-by-step explanation:

a) To graph , we need to plot some few points.

When x=-2,  so we plot (-2,7).

When x=-1, so we plot (-1,2)

When x=0, so we plot (0,-1)

When x=1, so we plot (1,-2)

When x=2, so we plot (2,-1)

We then draw a smooth curve through the points to obtain the curve in the attachment.

b) The graph intersected the x-axis (y=0) at x=-0.41 and x=2.41. These are the roots.

c)  For the line y=2x-3

When x=0, y=2(0)-3=-3 so we plot (0,-3)

When x=1, y=2(1)-3=-1 So we plot (1,-1)

We draw a straight line through these two points to intersect the parabola as shown on the graph.

d) To solve

and

simultaneously using the graph, we look for the point of intersection of the parabola and the straight line.

The solution is (0.59,-1.83) and (3.41,3.83)

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x