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
-1 1/8 because -9/8 is equal to so just make it a improper fraction, pretend the negative is not there then add the negative at the end
-hope this helps :D
Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm
Less Than An Ounce: A Feather And A Penny
More Than A Ton: A Plane And An Elephant
Answer:
1999544855.42
Step-by-step explanation:
3,374%/100=33.74
5,926,3333*33.74=1,999,544,855.42