Step-by-step explanation:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
1 7/9 - 4/9
Convert 1 7/9 to an improper fraction:
16/9 - 4/9
Subtract the numerators together:
12/9
Convert to a whole number:
1 1/3
Answer:

Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:

r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:

The formula of a volume of a sphere:

R - radius
Therefore the formula of a volume of a half-sphere:

We have R = 7cm. Substitute:

The volume of the given shape:

Substitute:

Answer:
1/3 or 3/6 they are the same thing
Step-by-step explanation:
Hi there!

Find the y-intercept by substituting in 0 for x:
f(0) = 0² + 2(0) + 3
Simplify:
f(0) = 3