Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
Answer:
The answer is the first choice, x < −4.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−2>4x+6
Step 1: Subtract 4x from both sides.
2x−2−4x>4x+6−4x
−2x−2>6
Step 2: Add 2 to both sides.
−2x−2+2>6+2
−2x>8
Step 3: Divide both sides by -2.
x<−4
Hello!
To find how much chocolate Adi and Suresh receives, you need to convert the percentage to a decimal, then you multiply that decimal by the total number of chocolates, which is 20.
To convert percentages to decimals, divide the percentage by 100, and remove the percentage.
60% / 100 = 0.60
20% / 100 = 0.20
Then, we multiply 0.60 and 0.20 by 20.
0.60 x 20 = 12
0.40 x 20 = 8
Therefore, Adi gets 12 chocolates and Suresh gets 8 chocolates.
Answer:
The initial height is the y-intercept of the graph
slope of the graph = -2
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly.
Step-by-step explanation:
Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2
So the slope of the graph = -2
by inspection, the y-intercept = 12
Therefore, the equation for the line is y = -2x + 12
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly
