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allsm [11]
3 years ago
10

To factor 8x^2 + bx + 3, a student correctly rewrites the trinomial 8x^2 + px + qx + 3. What is the value of pq?

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0
Try this option:
1. if 8*x²+b*x+3=8*x²+p*x+q*x+3, then ⇒ b=p+q.
2. p*q = max_value (b²/2), if p=q=0.5*b, and p*q→-oo, if p>0 and q<0 or p>0 q<0.
3. example:
given 8x²+10x+3, the student rewrites it as a) 8x²+5x+5x+3 (5*5=25-max value); b) 8x²+0.01x+9.99x+3 (9.99*0.01=0.0999→0); c) 8x²-20x+30x+3 (p*q=-600).

answer: (-oo;0.5b²)
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Ronnie’s Rentals charges $25 plus $15 per to rent a chain saw for 5 hours. Write an expression to show how you could calculate t
iragen [17]

Answer:

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

The total amount that David paid is $100.

Step-by-step explanation:

Given that,

Ronnie's Rentals charges $25 plus $15 per hour to rent a chain for 5 years.

Let

Ronnie's rents a chain for x hours.

Given that,

Rental charge of a chain for 1 hour is $15

Rental charge of a chain for 2 hour is $(15+15) = $30 = $(2×15)

Rental charge of a chain for 3 hour is $(15+15+15) = $45 = $(3×15)

From the above we conclude that,

∴Rental charge = Time ×$15

Rental charge of a chain for x hour is = $(x.15)=$15x

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

Now plugging x= 5 in the above expression

y= 25 + (15×5)

  =$100

The total amount that David paid is $100.

5 0
3 years ago
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