19 ornaments per box. She filled 5 boxes. So you would have to multiply 19x5 which equals 95 ornaments.
The answer should be I would say is Deception can lead to endless happiness
Answer:
- The graph that represents a reflection of f(x) across the x-axis is the blue line on the picture attached.
Explanation:
The function f(x) is:
Which is an exponential function with these features:
- y-intercept: f(0) = 6(0.5)⁰ = 6(1) = 6
- multiplicative rate of change: 0.5 (the base of the exponential term), which means that it is a decaying function (decreasing)
- Horizontal asympote: y = 0 (this is the limit of f(x) when x approaches +∞.
The reflection of f(x) across the x-axis is a function g(x) such that g(x) = - f(x).
Thus, the reflection of f(x) across the x-axis is:
The features of that function are:
- Limit when x approaches - ∞: -∞ (thus the function starts in the third quadrant).
- y-intercerpt: g(0) = -6 (0.5)⁰ = -6(1)= - 6.
- Horizontal asympote: y = 0 (this is the limit of f(x) when x approaches +∞.
- Note that the function never touches the x-axis, thus the function increases from -∞, crosses the y-axis at (0, -6) and continous growing approaching the x-axis but never touchs it. So, this is an increasing frunction, that starts at the third quadrant and ends in the fourth quadrant.
With those descriptions, you can sketch the graph, which you can see in the figure attached. There you have the function f(x) (the red increasing line) and its reflection across the x-axis (the blue increasing line).
Answer:
The angle x is equal to 30°.
Step-by-step explanation:
We are given that
- Lines A and B are parallel.
- These lines are transversed by Line C.
We can find out what angle is the supplement of 150° by setting up a simple equation.
Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.
Therefore, the angle that is to the top right of x is equal to 150°.
Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.
Answer:
n≥15
Step-by-step explanation:
3n≥45
/3 /3
n≥15