Answer:
(-1,5), (0,4) ,(1,3) ,(3,1) is linear so dont pick it
(-4,-7), (-2,-6), (2,-4), (4,-3) is linear
you know what I'll just say it wait a minute is there like a other option
Step-by-step explanation:
U can tell by graphing them out yourself and if u see a straight line then it linear, and if you see a curved loop then it's non- linear. but I'll do it :)
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.
Start by moving the -1 to the other side, as we need this function to equal zero.
2x^2 + 3x + 1 = 0
This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.
b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1
The value of the discriminant is 1, meaning that two real roots exist for the function described.
<h3>
Answer:</h3>
See the attached
<h3>
Step-by-step explanation:</h3>
When you square the binomial (a -b), you get ...
... (a -b)² = a² -2ab +b²
That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.
The last two selections have negative signs on the constant, so cannot be perfect square trinomials.
The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.
The second selection is the correct one:
... 4a² -20a +25 = (2a +5)²
Answer:

Step-by-step explanation:
Using the midpoint formula,
, we can find the coordinates that represents the position of the ship at noon.
Let
(given on the coordinate plane)
(given also)
Plug in the values into the formula and solve as follows:




Position of the ship at noon is best represented at 