Answer:
x = 12
Step-by-step explanation:
3(x - 1) - 2x = 9 remove the brackets using the distributive property
3x - 3 - 2x = 9 Collect 3x and -2x (Collect like terms)
3x - 2x - 3 = 9 Use the reverse of the distributive property to get x
x(3 - 2) - 3 = 9 Do what is inside the brackets
x - 3 = 9 Add 3 to both sides (additive inverse)
x - 3 + 3 = 9+3 Combine like terms on the left
x = 12
Answer:
The area of a trench is 5.5 m² .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
Tanya has a garden with a trench around it.
i.e
Put in the above formula
= 5 m²
As given
i.e
= 10.5 m²
Area of the trench = Area of garden with trench - Area of garden
Put the value in the above
Area of the trench = 10.5 m² - 5 m²
= 5.5 m ²
Therefore the area of a trench is 5.5 m² .
Answer:
f(x) = $25 + $75x.
Domain: positive whole numbers.
Range: f(x) ≥ $25
Step-by-step explanation:
Let x denote the total number of tour member, charging $75 per tour member implies $75x.
Therefore, the tour company charges:
f(x) = $25 + $75x
The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."
The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.
A. 97,280 feet
B. 18.42mph
