5. Susan has an income of $10. She buys cherries for $2 a pound and grapes for $4 a pound. Write the equation for her budget line and sketch the line with cherries on the y-axis. What is its slope

2y + 4x = 10

Slope = -2

Step-by-step explanation:

x: quantity of grapes

y: quantity of cherries

2y + 4x = 10

Graph will be a straight line with the following intercepts:

x = 0, 2y + 0 = 10 y = 5 (0,5)

y = 0, 0 + 4x = 10 x = 2.5 (2.5,0)

Sketch: a straight line joining (2.5,0) and (0,5)

2y + 4x = 10

2y = -4x + 10

y = -2x + 2.5

Slope = -2

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step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.