Answer:
True dat my dudes
y = and y =
y = and y =
y = and y =
The solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Quadratic equations are equation that has a degree of 2. Given the quadratic equation as shown:
(4y – 3)² = 72
Take the square root of both sides
√(4y – 3)² = ±√72
4y -3 = ±√72
4y - 3 = ±6√2
4y = ±6√2 + 3
y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Hence the solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4
Learn more on quadratic equation here: brainly.com/question/17987697
#SPJ5
Answer:
$89.7
Step-by-step explanation:
We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches
The brackets are
48/12 = 4 feet
and
60/12 = 5 feet
One of each must be used to cover the height of the shelf
The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3
The total cost is
($12.95 + $16.95) * 3 = $89.7
The total cost of the brackets is $89.7
8 bushels each day. Represent the total change in the number of bushels she has for sale after 5 days.
Answer:
The total change in the number of bushels she has for sale after 5 days is 83.125 bushels
Step-by-step explanation:
The given parameters are;
The initial number pf bushels the farmer has = 120 bushels
The amount of bushels of wheat the farmer sells each day = 16⁵/₈ = 16.625
The number of bushels sold after 5 days = 16.625 × 5 = 83.125 bushels
The total change in the number of bushels she has for sale after 5 days = The number of bushels sold after 5 days
The total change in the number of bushels she has for sale after 5 days = 83.125 bushels.
Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,
According to the question,
Divide both sides by 90.
By cross multiplication, we get
Divide both sides by 9.
Therefore, the speed of wind is 35 miles per hour.
The speed of the wind is calculated using uniform motion equations for when the pilot is traveling with the wind and against the wind is w = 45 mph,
This is a problem that involves uniform motion, often taught in high school algebra. Let's denote the speed of the wind as w. Since the time it takes for the pilot to travel 450 miles with the wind is the same as the time it takes for them to travel 360 miles against the wind, we can establish two equations which both equal to time (distance/speed).
With the wind: 450/(315+w) = time
Against the wind: 360/(315-w) = time
As both sides equal to 'time', we can equate them together:
450/(315+w) = 360/(315-w)
Solving this equation, we find that w = 45 mph, which is the speed of the wind.
#SPJ3