Question

A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by surveying the local golf course.

Part A

Determine if the chosen sample is random or not random for the population and explain why.

Part B

Come up with two different ways a random sample could be collected for this population.

Answer 1

Answer❣

Solution

=>8x²-14x-9=0

The above equation is in the form of a quadratic equation so,we simply factorise it by middle term splitting method.

Step by step explanation:

How to factorise..??

8x²-14x-9=0

The coefficient of x² is 8

-14x is a middle term and its coefficient is 14.

and the constant" is +3

Step-1 : Multiply the coefficient of x² by the constant -9×8= -72

Step-2 : Find two factors of 72 whose sum is equal to the coefficient of the middle term, which is -14.

=>8x²-14x-9=0

-9×8= -72

-72 = -18× 4

and -18+4= -14

=>8x²-14x-9=0

=>8x²-18x+4x-9=0

=>2x(4x-9)+1(4x-9)=0

=>(2x+1)(4x-9)=0

=>2x+1=0

=>2x= -1

=>x= -1/2

(4x-9)=0

=>4x=9

=>x=9/4

∴ x = -1/2 & x = 9/4

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