3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then
2x + x = 2(4) + (4) = 8 + 4 =12
B) f(x) = 3
It’s because all the y values are 3
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
Let the total number of people surveyed by y.
we can solve this by using algebra.
to find the percentage of a number in terms of decimals or integers, just multiply the total by the percentage,
so with this question,
y x 40% = 20
shift x40% to the other side and turn it into /40%
y = 20 / 40%
change the percentage into decimals for easier calculations,
y = 20 / 0.4
y = 50
therefore, the answer to this is 50 people.