Answer:
Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) =
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:
Now that we know the values of b and m, we can write the equation:
Answer:
The correct answer is 54.76 years.
Step-by-step explanation:
The national health care expenditure (H) , in billion of dollars is modeled by
H = 29.57 × .
To measure the time before which national health expenditure reach 6000 billion dollars.
Thus putting the value of H = 6000 in the above modeled equation we get,
⇒ 6000 = 29.57 ×
⇒ =
⇒ 202.908 =
Taking logarithm with the base of e (㏑) both sides we get,
⇒ ㏑ 202.908 = ㏑
⇒ ㏑ 202.908 = 0.0970 × t
⇒ 0.0970 × t = 5.312
⇒ t =
⇒ t = 54.76.
Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.
A function assigns the values. The function of the graph g(x) is 3(2ˣ).
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given the function of the graph is f(x)=3(2ˣ)-3, which is needed to be transformed to g(x), since g(x) is the function of f(x) transformed 3 units upwards therefore, the function of g(x) can be written as,
g(x) = f(x) + 3
g(x) = 3(2ˣ)-3+3
g(x) = 3(2ˣ)
Hence, the function of the graph g(x) is 3(2ˣ).
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