Answer:
6 < x < 8
Step-by-step explanation:
The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.
-47 > 1 -8x > -63 . . . . given
Multiply by -1:
47 < -1 +8x < 63
Add 1:
48 < 8x < 64
Divide by 8:
6 < x < 8
______
* You can tell this is the case by looking at the ends of the given statement:
-47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
I believe the answer is 9.8
Answer:
3) We are 95% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.6139 and 0.8272.
