Answer:
D) v = -2,000y + 20,000.
Step-by-step explanation:
The question gives a linear relationship between two quantities. This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant. Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000. Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000. So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.
The correct answer is A) yes, the sum of each pair is greater than the third.
The triangle inequality theorem states that the sum of any two sides of a triangle is longer than the third side. This is true for these numbers, so this does form a triangle.
-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²
-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²
39.69 ft² is bigger than 29.36 ft², so the square rug is bigger.
-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
-----------------------------------------------------------------
Answer:
Step-by-step explanation:
They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.
Now we are read to write that one part (the first three terms together) as a square:
I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.
They put it in ( )
I'm going to go ahead and combine those fractions now:
I'm going to factor out a -1 in the second term ( the one in the second ( ) ):
Now I'm going to add (b^2-4ac)/(4a^2) on both sides:
I'm going to square root both sides to rid of the square on the x+b/(2a) part:
Now subtract b/(2a) on both sides:
Combine the fractions (they have the same denominator):
Answer:
A, B, E
Step-by-step explanation:
