2.06 is equivalent to 2.060
Answer:
Step-by-step explanation:
-32 = 2(x² + 10x)
Complete the square
coefficient of the x term: 10
divide coefficient in half: 5
square it: 5²
use 5² to complete the square and keep the equation balanced:
-32+2·5² = 2(x² + 10x + 5²)
18 =2(x+5)²
9 = (x+5)²
x+5 = ±√9 = ±3
x = ±3 - 5 = -2, -8
Answer: THIRD OPTION.
Step-by-step explanation:
The slope can found by using the following formula:

In this case, in order to find the slope of the given function, we need to choose two points from the table provided in the exercise. Let's choose these points:

We can identify that:

Substituting these values into the formula, we get that the slope of the function is:

This matches with the third option.
If we increase q by 2, it means that q becomes q+2.
So, p will become

So, the new value for p is 6 more than the previous one.
The second exercise looks a bit odd: if the sequence started with -100, then it would be
-100, -97, -94, -91, -88,...
And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.
Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.
Are you sure that the exercise is written correct? Or are there any typos?
Answer: D
Step-by-step explanation: Quadrant 3 i (negative, negative)