Answer:
Learn how to find explicit formulas for arithmetic sequences. For example, find an explicit formula for 3, 5, 7,... ... CCSS Math: HSF. ... plug in the number of the term we are interested in, and we will get the value of that term. ... Writing explicit formulas ... Check out, for example, the following calculations of the first few terms.
Step-by-step explanation:...
Are there answer choices for this one because I got something kind of weird
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
The answers are A and F.
You can tell by looking at the slopes and seeing that they've been flipped and one is positive while the other is negative.
Triangle, not a triangle, not a triangle, triangle
Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[