Answer:
The answer to your question is V ( -1 , 7)
Step-by-step explanation:
Data
f(x) = 2x² + 4x + 9
1.- Use "y" instead of f(x)
y = 2x² + 4x + 9
2.- Subtract 9 in both sides and simplify
y - 9 = 2x² + 4x + 9 - 9
y - 9 = 2x² + 4x
3.- Factor 2 in the right side
y - 9 = 2(x² + 2x )
4.- Complete the perfect square trinomial
y - 9 + 2 = 2(x² + 2x + 1)
5.- Simplify
y - 7 = 2(x + 1)²
6.- Get the Vertex
V ( -1 , 7)
Given that,
An estimate of the height, H metres, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
To find,
The percentage error.
Solution,
We have,
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,

So, the required error is 3.84%.
Y = 3...I believe in standard form, this would be written as : y = 0x + 3
y = an integer is a horizontal line...and if u have x = an integer, it would be a vertical line
Answer:
12
Step-by-step explanation:
To determine the number of discs, divide the area of the metal sheet by the area of the discs
The metal sheets are in the shape of a rectangle, thus the area of a rectangle would be used to determine the area of the sheet
Area of a rectangle = length x breadth
56 x 33 = 1848 cm^2
The disc is in the shape of a circle.
area of a circle = πr²
π = 3.14
r = radius
3.14 x 7² = 153.86 cm²
Number of discs = 1848 /153.86 = 12
Answer:
The complete answer is explained below.
Step-by-step explanation:
The problem is demanding to simply determine the number of years each color light would last.
We know the following information from the question:
- As it is clear that a red light remains TURNED ON 50% of the time.
- Green remains TURNED ON 42% of the time
- Yellow remains TURNED ON 8% of the time.
Also the bulbs for each color are LED and are designed to last 100,000 hours. So, each light does last 100,000 hours.
lets make conversions
As

Dividing
hours by
hours would bring
days
Dividing
days by
days would bring
years, meaning 11 years and 4 months.
Keywords: light, conversion, day, hours
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