Answer:
D. 4
Step-by-step explanation:
Answer:
Mathematical symbols used for different calculations?
<h3>
Answer: 6 inches</h3>
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Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
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Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
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Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
So for this equation we're going to complete the square.
Firstly, what two terms have a product of 120x^2 and a sum of 29x? 24x and 5x. Replace 29x with 24x + 5x: 
Next, factor 4x^2 + 24x and 5x + 30 separately. Make sure that they have the same quantity inside the parentheses: 
Now you can rewrite the equation as: 
Now using zero product property, solve for x:

In short, x = -1.25 and -6
Answer:
2 kg
Step-by-step explanation:
15/100 x = 0.3
x = 0.3 * 100/15
x = 2