385.6 square feet is the answer
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
180,have a beautiful day!
Answer:
6 and 7
Step-by-step explanation:
27 divided by 4 equals 6.75 and that number is in between 6 and 7
Step-by-step explanation:
- Length of rectangle = 7 less than the twice the breadth
- Perimeter = 40 cm
Let us say the breadth as b and length as l.
→ Length = 7 less than the twice the breadth
→ l = 2b - 7 ...(1)
Now, according to the question,
→ Perimeter of rectangle = 2(l + b)
→ 40 = 2(2b - 7 + b)
→ 40 = 2(3b - 7)
→ 40 = 6b - 14
→ 40 + 14 = 6b
→ 54 = 6b
→ 54 ÷ 6 = b
→ <u>9</u><u> m = Breadth</u>
Now, finding length.
→ l = 2b - 7
→ l = 2(9) - 7 m
→ l = 18 - 7 m
→ <u>Length = 1</u><u>1</u><u> m</u>
