Answer:
P(t)=30
Step-by-step explanation:
Plug in t=6 into the equation: P(t)=t^2-t
So P(t)= (6)^2-6
P(t)=36-6
P(t)=30
The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>
The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:


The actual distance between the store and the dungeon is 4 kilometers.
This means that:

So, we have:


Represent the required actual distance with x.
So, we have:

Express as fraction

Multiply both sides by 17


Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at:
brainly.com/question/24579126
Answer: C.
Step-by-step explanation:
C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long