Answer: 1.5 inches
Step-by-step explanation:
If two quantities are directly proportional, it means that an increase in the value of one quantity would cause a corresponding increase in the other quantity. Also, a decrease in the value of one quantity would cause a corresponding decrease in the other quantity.
Given that the amount a spring will stretch,S varies directly with weight, F, if we introduce a constant of proportionality, k, the expression becomes
S = kF
When S = 2.22 and L = 37, then
2.22 = 37k
k = 2.22/37 = 0.06
Therefore, the equation that relates the length S that the spring stretches to the weight F is
S = 0.06F
Therefore, if F = 25 pounds, then
S = 0.06 × 25
S = 1.5 inches
Answer:
The correct option is B). 
Step-by-step explanation:
Given function is 
On simplifying,
=
=![[4x^{2}+16x+16]-(2x^{2} +6)](https://tex.z-dn.net/?f=%5B4x%5E%7B2%7D%2B16x%2B16%5D-%282x%5E%7B2%7D%20%2B6%29)
=
=
Thus, The correct option is B).
<span>difference of f squared and g = (f^2 - g)
</span>4 times the difference of f squared and g = 4 x (f^2 - g<span>)
</span><span>sum of f squared and 2g = (f^2 + 2g)
</span>4 times the difference of f squared and g, increased by the sum of f squared and 2g = 4 x (f^2 - g) + (f^2 + 2g<span>)</span>
