we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
-x(3x-10)=8
-3x^2+10x=8 (DISTRIBUTE)
-3x^2+10x-8=0 (BALANCE TO ZERO)
(-3x+4)(x-2)=0 (FACTOR)
(-x+4/3)(x-2)=0 (SIMPLIFY)
{x=2 OR x= 4/3}
For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:
Where:
p: It is the perimeter of the base
S: It's the inclination
It is the area of the base
Substituting:
ANswer:
Option B
Answer:
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Step-by-step explanation:
I believe its c because that is the suitable answer
