Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4
1 answer:
The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
<h3>What is the slope?</h3>The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The functions are given below.
The slope of the f(x) and g(x) will be 4 and 3 respectively.
And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
The graph is shown below.
More about the slope link is given below.
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Answer:
option 4 ⇒ 236 lb.
Step-by-step explanation:
Best explanation of the question is as shown in the attached figure.
we will use the parallelogram method to calculate resultant force.
to get the length of the resultant force ⇒ use the cosines law
The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)
Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x
Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°
∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481
∴ Resultant force = √55481 = 235.54 ≅ 236 pounds
The answer is option 4 ⇒ 236 lb.
