Option D: 
; all real numbers.
Explanation:
Given that the functions are 
and 
We need to determine the value of 
and its domain.
<u>The value of </u><u>:</u>
The value of can be determined by multiplying the two functions.
Thus, we have,
Thus, the value of is
<u>Domain:</u>
We need to determine the domain of the function
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Thus, the function has no undefined constraints, the function is well defined for all real numbers.
Hence, Option D is the correct answer.
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
Circumference= 2×pi×R
Area= pi× R^2
Since Diameter=2 cm ---> Radius is 2× diameter , so R=4 cm
Circumference=2×3.14×4= 25.12 cm
area=3.14× (4)^2= 50.24 cm^2
Answer:
Step-by-step explanation:
312.50= a+0.25a
We need to combine like terms a=1. All variables without a value equal 1.
a+0.25a= 1.25a
312.50= 1.25a
Divide both sides by 1.25, since 1.25 is being multiplied by a.
a= 250
Answer:
A proportional relationship is written as:
y = k*x
where k is the constant of proportionality.
A general word problem that represents one of these relationships can be:
If each burger costs $1.50, what would be the cost of buying x burgers?
The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:
y = $1.50*x
Which is a proportional relationship where the constant of proportionality is $1,50
