Complete the square:
<span>y = 3x^2 - 12x + 4 </span>
<span>y = 3(x^2 - 4x) + 4 </span>
<span>y = 3(x^2 - 4x + 4 - 4) + 4 </span>
<span>y = 3(x^2 - 4x + 4) - 12 + 4 </span>
<span>y = 3(x - 2)^2 - 8</span>
The absolute value of 3 above par means any value more than the absolute value of 3. The absolute value of 3 is (+) 3 since an absolute value of a number cannot be negative. Above par means positive (+), so more than the specified value of 3. <span />
Answer:
5 units. Since they have the same y coordinate the x coordinate determines the distance from each other. In the case 9-4=5.
For question 22, divide each number by 1.41 to see which one produces a quotient larger than 0.9. d is the answer.
For #23, multiple 0.155 million by 86%, the result is 133,300
again, d is the correct answer.
Answer:
c = 420t . . . . c is calories burned; t is hours riding at 15 mph
Step-by-step explanation:
There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:
c = 420·t
where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.
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In general, rates are related to quantities by ...
quantity = rate · time . . . . . where the rate is (quantity)/(time period)
