Which graph represents the function f(x)=4⋅3x?
2 answers:
Answer: Bottom right corner (southwest corner)
Explanation:
Plug in x = 0 to find that
This shows that the y intercept is (0,4).
Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.
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Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
× 16 = 12
x = 12
OR: Set up a proportion:
×
<em>cross-multiply</em>
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
Answer:
a) h = 0.1: , h = 0.01:
, h = 0.001:
, b) The instantaneous velocity of the ball when
is
feet per second.
Step-by-step explanation:
a) We know that describes the position of the ball, measured in feet, in time, measured in seconds, and the average velocity (
), measured in feet per second, can be done by means of the following definition:
Where:
- Position of the ball evaluated at
, measured in feet.
- Position of the ball evaluated at
, measured in feet.
- Change interval, measured in seconds.
Now, we obtained different average velocities by means of different change intervals:
b) The instantaneous velocity when can be obtained by using the following limit:
And we finally evaluate the instantaneous velocity at :
The instantaneous velocity of the ball when is
feet per second.