<em>Presuming you mean y = -2x^2 - 8x - 13</em>
Firstly, put the x terms in parentheses and factor out -2:
Next, we want to make what's inside those parentheses a perfect square. To do this, divide the x coefficient by 2 and square that result. In this case, that result is 4. Add 4 to the inside of the parentheses, and add 8 to the outside of the parentheses to balance it out. (Since when foiled, 4 x -2 = -8)
Next, factor what's inside the parentheses, and <u>your final answer will be </u>
Answer:
She would need to work at least 11.363636 hours
Step-by-step explanation:
475+11x≥600
11x≥600-475
11x≥125
x≥125÷11
x≥ 11.363636
Answer:
Statement 1: UV ║ WZ
Statement 2: Points S,Q,R and T are all lie on the same plane.
Statement 3: m<SQT=180 deg
Statement 4: m<SQV + m<VQT = m<SQT
Statement 5: m<SQV + m<VQT = 180 deg
Now, the next statement is as:
Statement 6: which is statement III.
(Same side interior angles theorem) m<VQT + m<ZRS = 180 deg
Statement 7: which is statement II.
(Substitution property of equality)
m<SQV + m<VQT = m<VQT + m<ZRS
Statement 8: m<SQV + m<VQT - m<VQT = m<VQT + m<ZRS - m<VQT
which is statement I.
(Subtraction property of equality)
So, the correct order of the given reasons to complete the proof is III, II, I.
Step-by-step explanation:
45% ------> $50*.45=$22.50 $50-22.50= $27.50
30%+20% ------ > $50*.30=$15 $50-15=$35 $35*.20=7 $35-7=$28
Answer:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
After noon:
Noon is 3 hours after 9 AM, so
So in x hours after noon, the value is given by:
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
In how many hours will the prices of the two stocks be the same?
This is x for which:
The prices of the two stocks will be the same in 1.56 hours.