Answer: d I believe
Step-by-step explanation:
The discriminant of a quadratic equation is calculated through the equation,
D = b² - 4ac
In the given above, a = 5, b = -4, and c = 3. Substituting these values to the equation,
D = (-4)² - 4(5)(3) = -44
Since the discriminant is negative, the roots are non-real.
The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
<h3>What is the gradient?</h3>
A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.
The given equation for the curve is;
y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve is;

Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
To learn more about the gradient refer to;
brainly.com/question/13020257
#SPJ1
Answer:
A)1/18
B)1/6
C)13/18
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW,
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that (a) Rebecca and Elise will be paired? (b) Rebecca and Elise will be chosen to represent their schools but will not play each other? (c) either Rebecca or Elise will be chosen to represent her school?
CHECK THE ATTACHMENT'S FOR STEP BY STEP EXPLANATION
Answer:
radius = 5 units
area of a circle = 15.7units²
Step-by-step explanation:
given that the circumference of a circle = 31.4
radius = ?
recall that the formulae for finding the circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
31. 4 = 6.28r
divide both sides by the coefficient of r which is 6.28
31.4/6.28 = 6.28r/6.28
5 = r
radius = 5 units
therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units
to find the area of the circle
recall the formula = πr²
area of a circle = 3.14 x 5²
area of a circle = 3.14 x 25
area of a circle = 15.7units²