Answer:
-1 <x < 7
(-1,7)
Step-by-step explanation:
open circle on the left means the number is greater than
-1 <x
Open circle on the right means the number is less than
x < 7
Since both statements are true. we combine them
-1 <x < 7
open circles means parentheses, closed circles mean brackets
This technique is valid only when the coefficient of x2 is 1.
1) Transpose the constant term to the right
x2 + 6x = −2.
<span> 2) <span>Add a square number to both sides -- add the square of half the coefficient of x. In this case, add the square of half of 6; that is, add the square of 3, which is 9:</span></span>
x2 + 6x + 9 = −2 + 9.
The left-hand side is now the perfect square of (x + 3).
(x + 3)2 = 7.
3 is half of the coefficient 6.
That equation has the form
<span><span><span>a2</span> = b</span> which implies<span>a = <span>±.</span></span> Therefore,<span><span>x + 3</span> = ±</span> <span>x = <span>−3 ±.</span></span></span>
That is, the solutions to
x2 + 6x + 2 = 0
Answer:
67,200 (please note you did not specify the currency this is figured in so that is important to include in your answer. If this answer is in dollars, then make sure you add a dollars sign and specify "dollars" in your answer. If it is in another currency then put that in).
Step-by-step explanation:
First, we need to figure out how much the doctor makes per hour. Since there are 4, 15 minute billing periods per hour, we multiple to find the hourly billing charges:
4
(this is the amount the doctor makes per hour)
Next, we have to take that hourly charge and multiply it by 2 because we know the doctor works two hours per day:
(this is the amount the doctor makes per day working two hours)
Finally, we know the doctor attends to the clinic two hours per day and seven days per week. We have to multiply the amount of money earned in two hours (9600) by 7 days:
(this is the amount the doctor makes in seven days, billing two hours per day)
