Answer:
No idea
Step-by-step explanation:
Answer: Choice C. (-3.5, -3)
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Explanation:
Draw a vertical number line. Make sure to plot the points -3 and -4 on this number line. We'll have -4 below -3. In between these values is -3.5
The ceiling function brings the point -3.5 up to -3. Think of an elevator that visits each floor of a skyscraper. Each floor being a positive or negative whole number on this number line. So when x = -3.5, this means f(x) = -3. This points to choice C being the answer.
As another example, if x = 5.7, then f(x) = 6. Yet another example would be x = 2.008 leads to f(x) = 3. We always move up to the closest integer.
Answer:
A quadratic function generally does not have an inverse except on a restricted domain. If the domain of the <em>original</em> function is restricted to x ≥ 0, then the inverse function is ...
Step-by-step explanation:
Start by interchanging x and "y", then solve for y.
y = 5x² +4 . . . . . . given
x = 5y² +4 . . . . . . with x and y interchanged
x -4 = 5y² . . . . . . subtract 4
(x -4)/5 = y² . . . . . divide by 5
√((x -4)/5) = y . . . take the square root . . . . x ≥ 4, y ≥ 0
Then, ...
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The graph shows the original f(x) and the "inverse", called f1(x). Note that it is only a reflection across y=x of the right half of the original function. That is, the inverse only exists for the original function when its domain is restricted to x ≥ 0. (The domain of the inverse function is x ≥ 4.)
Answer:
1 pound 3 ounces
Step-by-step explanation:
Lemme know if it's correct
Answer:
m<CAO = 56
Step-by-step explanation:
When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,
(m<DOA) + (m<CAO) = 180
Substitute,
3x + 40 + 2x = 180
Simplify,
5x + 40 = 180
Inverse operations,
5x + 40 = 180
-40 -40
5x = 140
/5 /5
x = 28
Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.
<CAO = (2x)
= 2(28)
= 56