Answer:
1
Step-by-step explanation:
You "complete the square" by adding the square of half the x-term coefficient. Here, that is ...
((-2)/2)² = 1 . . . . value added to complete the square
If you want to keep 0 on the right, you must also subtract this value:
x² -2x -36 = 0
x² -2x +1 -36 -1 = 0 . . . . . . add and subtract 1 on the left
(x -1)² -37 = 0 . . . . . . . . . . . written as a square
Average of eight minutes and twenty seconds to travel from the sun to the earth
9514 1404 393
Answer:
x +7
Step-by-step explanation:
The argument of the absolute value function is positive for any x > -7. The required domain is a subset of that, so the absolute value function does not change its argument.
|x+7| for x ≥ 7 is x +7
Answer:

Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:


Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

and we simplify:


now it's easy to solve for t:

And thus we arrive to the solution.
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
=========================================================
Explanation:
The inequality
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.