The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2
1 answer:
This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us
which of course simplifies to
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The complete question in the attached figure
we know that
<span>Fred bought
</span><span>4 liters of liquid laundry detergent
</span><span>3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
</span><span>2.5 L of bleach-----------> 2.5 liters
then
</span><span>statements
4a. Fred bought 75 milliliters more fabric softener than bleach
</span>3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false
<span>4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
</span>the statement is false
4c. Fred brought 750 milliliters more fabric softener than bleach. <span>
3.25-2.5-------> 0.75 liters-------> 750 ml
</span>the statement is true
4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false
<span>4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
</span>4-3.25--------> 0.75 liters
the statement is true
we know that
<span>Fred bought
</span><span>4 liters of liquid laundry detergent
</span><span>3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
</span><span>2.5 L of bleach-----------> 2.5 liters
then
</span><span>statements
4a. Fred bought 75 milliliters more fabric softener than bleach
</span>3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false
<span>4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
</span>the statement is false
4c. Fred brought 750 milliliters more fabric softener than bleach. <span>
3.25-2.5-------> 0.75 liters-------> 750 ml
</span>the statement is true
4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false
<span>4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
</span>4-3.25--------> 0.75 liters
the statement is true
8c + 6j = 5p Subtract 6j from both sides
8c = 5p - 6j Divide both sides by 8
c =
8c = 5p - 6j Divide both sides by 8
c =