Step-by-step explanation:
For a quadratic expression ax²+bx + c = 0
The discriminant D = b²-4ac
Given the following quadratic equation;
x^2 - 6x-27 = 0
a = 1, b = -6, c = -27
D = (-6)²-4(-27)
D = 36+108
D = 144
Hence the discriminant is 144
For the roots;
x = -b±√D/2a
x = 6±√144/2
x = 6±12/2
x = 18/2 and -6/2
x = 9 and -3
For the expression x2 - 25 = 0
a = 1, b = 0 and c = -25
D = (0)²-4(-25)
D = 100
Hence the discriminant is 100
For the roots;
x = 0±√100/2
x = ±10/2
x = ±5
x =-5 and 5
Given the following quadratic equation;
x^2 +10x+25 = 0
a = 1, b = 10, c = 25
D = (10)²-4(25)
D = 100-100
D = 0
Hence the discriminant is 0
For the roots
x = -10±√0/2
x = -10/2
x = -5
Given the following quadratic equation;
2x^2 - 5x+3 = 0
a = 2, b = -5, c = 3
D = (-5)²-4(2)(3)
D = 25-24
D = 1
Hence the discriminant is 1
For the roots;
x = 5±√1/2(2)
x = 5±1/4
x = 5+1/4 and 5-1/4
x = 6/4 and 4/4
x = 3/2 and 1
x = 18/2 and -6/2
x = 9 and -3
Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³
Answer:
Step-by-step explanation:
Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:
8 nephews:
n + c = 8
Spent $121.53
14.95*n + 16.88*c = 121.53
Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)
n = 8 - c
=>
14.95*(8-c) + 16.88c = 121.53
119.60 + 1.93c = 121.53
1.93c = 1.93
c = 1
=>
n = 7
*Check:
14.95*(7) + 16.88*(1) = 121.53
im so sorry if this is wrong :/
Answer:
Did this for a different person who had the image, the answer is the third one or
1 1 2 2 3 6 is the flower sizes while 2 is the median and 2.5 is the average.
Step-by-step explanation:
BRAINLIEST PLZ