Answer:
<u>f(x) = 2(x - 2)^2 - 1</u>
<u>vertex: (2, -1)</u>
Step-by-step explanation:
f(x) = 2x^2 - 8x + 7
<em>First, we find the vertex. </em>
x = -(-8)/4 = 2
y = 2(2)^2 - 8(2) + 7 = 2(4) - 16 + 7 = 8 - 9 = -1
vertex: (2, -1)
<em>Second, we write f(x) in vertex form. </em>
<em>we know that h and k have to be 2 and -1. </em>
2x^2 - 8x + 7 = a(x - 2)^2 - 1
<em>Since 8 - 1 = 7, we do this: </em>
f(x) = (2x^2 - 8x + 8) - 1
<em>Factor out the 2 and then factor the polynomial</em>
f(x) = 2(x^2 - 4x + 4) - 1
<em>factors of 4: </em>
1 4
2 2
-1 -4
<u>-2 -2 = -4</u>
<em>the function in vertex for is: </em>
f(x) = 2(x - 2)^2 - 1
Answer:
Step-by-step explanation:
Given:
Radius of spherical tank, 
Volume of a quarter of a sphere is given as:
Plug in 70 ft for 
, 
for 
and solve for the volume, 
. This gives,
Therefore, the volume of the quarter sphere shaped tank is
Answer:
5
Step-by-step explanation:
First do substitution,
Which means |(4)-3|+4
Therefore 1+4=5
Solve for "years" (t)
A=P e^(rt)
A=1000
P=500
e=e
r=0.0462
Solve for t: use natural logarithms
(0.0462)t=in 2
t=15 years
