24.67 rounded to one significant figure would be 25.
Answer:
8 inches.
Step-by-step explanation:
In the first bounce, the height that the ball reaches was 125 inches.
If the ball always bounces back to 
of the height, then after 2nd bounce it will reach 
inches height.
Again, after 3rd bounce, it will reach 
inches height.
And, after 4th bounce, it will reach 
inches height. (Answer)
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
I = {2.666666667, 1.166666667
Answer:
x = 7 and 3/2
Step-by-step explanation:
We can say:
x - 7 = 0 and 2x - 3 = 0
<em>Lets solve for x - 7 = 0 first:</em>
Add 7 to each side of "="
=> <u>x = 7</u>
<em>Now lets solve for 2x - 3 = 0</em>
First add 3 to each side of "="
=> 2x = 3
Now divide each side by 2
<u>=> x = 3/2</u>
Hope this helps!
