21 - 16.75 is 4.25. Do the problem on a calculator and you'll get it.
f(x) = (3/4)ˣ - 4
As x gets really negative (3/4)ˣ grows positively without bound (because it's (4/3)⁻ˣ and 4/3 > 1).
As x gets really positive (3/4)ˣ tends to zero but never quite gets there.
So (3/4)ˣ > 0 for all x
So f(x) > 0 - 4 for all x
Answer: { y | y > -4 }, first choice
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
<u>18 waves</u> hit the beach in 49 s.
Step-by-step explanation:
Given:
The frequency of the waves that were coming into the beach is 0.367347 Hz.
Now, to find the number of waves that hit the beach in 49 s.
Let the number of waves be
The frequency of waves () = 0.367347 Hz.
The time it takes to hit the beach () = 49 s.
Now, we put formula to get the number of waves:
<u><em>The number of waves = 18.</em></u>
Therefore, 18 waves hit the beach in 49 s.
Answer:
Step-by-step explanation:
Given
Let x represent the number of tickets, and p the charges
A reduction of 50c gives an increment of 50 tickets.
This gives:
----
Required
Determine the demand function
First, calculate the slope:
So, the equation is:
Hence, the function is: