Answer:
I'd have to say, C: 13
Step-by-step explanation:
Mode: 23
Range: 9
Median: 25.5
Mean: 25.5625
By the Pythagorean theorem
.. x = √((2√3)^2 -(√6)^2) = √(12 -6) = √6 . . . . cm
x = √6 cm
Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.
Givens
Keith is 24
Keith / Jared = 3/5
J = Jared
Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40
Conclusion
Jared is 40 years old.
Answer:
(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
We assume you intend ...
f(x) = equation of a parabola
g(x) = 2/3·f(x)
Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.
__
The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.
The attachment shows parabolas that open upward and downward, along with the transformed version.