Answer:
The new extra processor would take 20 hours to download the movie.
Step-by-step explanation:
This word problem presents two variables: 
- Processing capacity, dimensionless; 
- Download time, measured in hours. Both variables exhibit a relationship of inverse proportionality, that is:
Where 
is the proportionality constant.
Now, let suppose that original processor has a capacity of 1 (
), the proportionality constant is: (
)
The equation is 
and if time is reduced to 4 hours by adding an extra processor, the processing capacity associated with this operation is: (
)
Then, the extra processor has a capacity of 0.25. The time required for the new extra processor to download the movie is: (
)
The new extra processor would take 20 hours to download the movie.
Answer:
117 pounds
Step-by-step explanation:
the ratio is given:
4 : 5
Colin : Dan
Simplest way to solve:
4x = 52
x = 52/4 = 13
now, x is one part of the share.
There are 9 total parts:
9 x 13 = 117.
Hope this helps
Answer:
Yes think
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
to obtain this form
complete the square
y
=
x
2
+
2
(
4
)
x
+
16
−
16
+
14
⇒
y
=
(
x
+
4
)
2
−
2
←
in vertex form
⇒
vertex
=
(
−
4
,
−
2
)
to obtain the intercepts
∙
let x = 0, in the equation for y-intercept
∙
let y = 0, in the equation for x-intercept
x
=
0
⇒
y
=
0
+
0
+
14
=
14
←
y-intercept
y
=
0
⇒
(
x
+
4
)
2
−
2
=
0
←
add 2 to both sides
⇒
(
x
+
4
)
2
=
2
take the square root of both sides
√
(
x
+
4
)
2
=
±
√
2
←
note plus or minus
⇒
x
+
4
=
±
√
2
←
subtract 4 from both sides
⇒
x
=
−
4
±
√
2
←
exact values
graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}
