Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots
Answer:
3: D - Undefined
4: A - 1
Step-by-step explanation:
For Question 3 your answer is D, undefined, because it does not have a slope, a slope is like a hill, but that just goes straight up, thus it is undefined.
For Question 4 your answer is A, 1, because it moves one digit to the right and then 1 digit up, Thus that is your answer.
A millennium is 1000 years.
Multiply the number of seconds in 1 year by 1000:
31,536,000 x 1,000 = 31,536,000,000 seconds.
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
If the 316 is supposed to be 3/16 and the 34 is supposed to be 3/4, then your answer is 2.
