A. The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.
B. For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
y=24-10 y=14
This means the relation given in this part has a greater value when x=8
C. When x=80, f(x)=3(80)-10
=240-10
=230
Answer:
Amount of VAT paid by Jeremy is € 9.31 .
Step-by-step explanation:
As given
In Germany, VAT is at 19% .
Jeremy buys a calculator in Germany for €58.31
This price includes VAT.
Let us assume that the cost of calculator excluding tax is x .
19% is written in the decimal form .
= 0.19
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × x
= 0.19x
Than
Cost of calaculator + VAT price = Cost of calculator including VAT
x + 0.19 × x = 58.31
x + 0.19x = 58.31
1.19x = 58.31
x = €49 (Approx)
Thus cost price of calculator excluding VAT is €49 .
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × 49
= € 9.31
Therefore the amount of VAT paid by Jeremy is € 9.31 .
Answer:
Step-by-step explanation:
We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.
First of all we will find the area of globe using area of sphere formula.
, where r represents the radius of sphere.
Since diameter is 2 times the radius, so the radius of our given globe will be:
Since 27 square inches does not need to be painted, so the area we must cover with paint will be:
Upon rounding our answer to nearest hundredth we will get,
Therefore, we must cover 319.36 square inches with paint.
Answer:
C(g) = 5 + 6g
Step-by-step explanation:
Let
C be the cost function for Ben
and
g be the number of games
As the shoe rental is paid for all the games, it will be added only once. The variable on which the cost will be dependent is g. The number of games will directly affect the cost function. Here g is independent variable.
So, mathematically writing,
C(g) = 5 + 6g
Answer: 3. Distributive
Step-by-step explanation:
Distributive property of multiplication over addition is the only property that is require to multiply an expression to the other expression with two or more than two terms.
For example: a (b+c)= a b+ac , where a,b,c can be any expression.
Given expression: -5(x-3) = -5x +15 , which illustrates the distributive property of multiplication over addition.
Hence, the correct option is 3. Distributive.
The rest of properties cannot work for multiplication over addition as they are used for one operation.
